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US20030089392A1 - Photovoltaic device - Google Patents

Photovoltaic device Download PDF

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US20030089392A1
US20030089392A1 US09/955,297 US95529701A US2003089392A1 US 20030089392 A1 US20030089392 A1 US 20030089392A1 US 95529701 A US95529701 A US 95529701A US 2003089392 A1 US2003089392 A1 US 2003089392A1
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Prior art keywords
photovoltaic device
substrate
layers
lattice constant
quantum well
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Carsten Rohr
Keith Barnham
Nicholas Ekins-Daukes
James Connolly
Ian Ballard
Massimo Mazzer
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Ip2ipo Innovations Ltd
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Assigned to IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE reassignment IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Assignors: BALLARD, IAN M., BARNHAM, KEITH W.J., CONNOLLY, JAMES P., EKINS-DAUKES, NICHOLAS, ROHR, CARSTEN, MAZZER, MASSIMO
Priority to PCT/GB2002/003378 priority Critical patent/WO2003012881A1/en
Publication of US20030089392A1 publication Critical patent/US20030089392A1/en
Assigned to IMPERIAL INNOVATIONS LTD. reassignment IMPERIAL INNOVATIONS LTD. ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Assignors: IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE
Priority to US12/078,315 priority patent/US7868247B2/en
Abandoned legal-status Critical Current

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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02SGENERATION OF ELECTRIC POWER BY CONVERSION OF INFRARED RADIATION, VISIBLE LIGHT OR ULTRAVIOLET LIGHT, e.g. USING PHOTOVOLTAIC [PV] MODULES
    • H02S10/00PV power plants; Combinations of PV energy systems with other systems for the generation of electric power
    • H02S10/30Thermophotovoltaic systems
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B82NANOTECHNOLOGY
    • B82YSPECIFIC USES OR APPLICATIONS OF NANOSTRUCTURES; MEASUREMENT OR ANALYSIS OF NANOSTRUCTURES; MANUFACTURE OR TREATMENT OF NANOSTRUCTURES
    • B82Y20/00Nanooptics, e.g. quantum optics or photonic crystals
    • HELECTRICITY
    • H10SEMICONDUCTOR DEVICES; ELECTRIC SOLID-STATE DEVICES NOT OTHERWISE PROVIDED FOR
    • H10FINORGANIC SEMICONDUCTOR DEVICES SENSITIVE TO INFRARED RADIATION, LIGHT, ELECTROMAGNETIC RADIATION OF SHORTER WAVELENGTH OR CORPUSCULAR RADIATION
    • H10F10/00Individual photovoltaic cells, e.g. solar cells
    • H10F10/10Individual photovoltaic cells, e.g. solar cells having potential barriers
    • H10F10/16Photovoltaic cells having only PN heterojunction potential barriers
    • H10F10/163Photovoltaic cells having only PN heterojunction potential barriers comprising only Group III-V materials, e.g. GaAs/AlGaAs or InP/GaInAs photovoltaic cells
    • HELECTRICITY
    • H10SEMICONDUCTOR DEVICES; ELECTRIC SOLID-STATE DEVICES NOT OTHERWISE PROVIDED FOR
    • H10FINORGANIC SEMICONDUCTOR DEVICES SENSITIVE TO INFRARED RADIATION, LIGHT, ELECTROMAGNETIC RADIATION OF SHORTER WAVELENGTH OR CORPUSCULAR RADIATION
    • H10F10/00Individual photovoltaic cells, e.g. solar cells
    • H10F10/10Individual photovoltaic cells, e.g. solar cells having potential barriers
    • H10F10/17Photovoltaic cells having only PIN junction potential barriers
    • HELECTRICITY
    • H10SEMICONDUCTOR DEVICES; ELECTRIC SOLID-STATE DEVICES NOT OTHERWISE PROVIDED FOR
    • H10FINORGANIC SEMICONDUCTOR DEVICES SENSITIVE TO INFRARED RADIATION, LIGHT, ELECTROMAGNETIC RADIATION OF SHORTER WAVELENGTH OR CORPUSCULAR RADIATION
    • H10F77/00Constructional details of devices covered by this subclass
    • H10F77/10Semiconductor bodies
    • H10F77/14Shape of semiconductor bodies; Shapes, relative sizes or dispositions of semiconductor regions within semiconductor bodies
    • H10F77/146Superlattices; Multiple quantum well structures
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00Energy generation through renewable energy sources
    • Y02E10/50Photovoltaic [PV] energy
    • Y02E10/544Solar cells from Group III-V materials
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00Energy generation through renewable energy sources
    • Y02E10/50Photovoltaic [PV] energy
    • Y02E10/548Amorphous silicon PV cells

Definitions

  • This invention relates to an improved photovoltaic device/cell for the conversion of heat radiation into electricity.
  • Thermophotovoltaics is the use of photovoltaic (PV) cells to convert heat radiation, e.g. from the combustion of fossil fuels or biomass, into electricity.
  • the energy spectrum is often reshaped using selective emitters which absorb the heat and re-emit in a narrow band.
  • the re-emitted radiation may be efficiently converted to electric power using a PV cell of appropriate low band-gap.
  • Higher PV cell efficiencies can be achieved by introducing multi-quantum-wells (MQW) into the intrinsic region of a p-i-n diode if the gain in short-circuit current exceeds the loss in open-circuit voltage [K. W. J. Bartham and G. Duggan, J. Appl.
  • MQW multi-quantum-wells
  • a Quantum Well Cell (QWC) in the quaternary system InGaAsP lattice-matched to InP substrates is a promising candidate for TPV applications as the effective band-gap can be tuned, out to about 1.65 ⁇ m (In 0.53 Ga 0.47 As), without introducing strain, by varying the well depth and width, to match a given spectrum.
  • the enhancement in output voltage of a QWC is a major advantage for TPV applications [P.
  • Freundlich proposes limiting the number of wells to a maximum of 20, which will not produce sufficient absorption for efficient generation however.
  • these dislocations can be reduced by strain-balancing the layers; alternating barriers and wells have bigger and smaller lattice-constants, but on average are lattice-matched to the substrate [N. J. Ekins-Daukes et al., Appl.Phys.Lett.75, 4195 (1999)].
  • the invention provides a photovoltaic device having a multiple quantum well portion with alternating tensile strained layers and compressively strained layers, said tensile strained layers and said compressively strained layers having compositions such that a period of one tensile strained layer and one compressively strained layer exerts substantially no shear force on a neighbouring structure.
  • the invention recognises that rather than seeking to provide an average lattice constant that matches the substrate, what is truly important is to balance the forces in the tensile and compressively strained layer to provide an average or effective zero stress system.
  • a device providing an average lattice constant matching the substrate may still allow a significant build up of stress that will result in undesirable dislocations.
  • the invention provides a photovoltaic device having a multiple well quantum portion formed upon a virtual substrate having a virtual substrate lattice constant different than a substrate lattice constant of an underlying substrate, wherein said virtual substrate is InP 1 ⁇ x As x , where 0 ⁇ x ⁇ 1 and said substrate is InP.
  • Using an InP 1 ⁇ x As x based virtual substrate allows lattice matching to a quantum well system having a relatively large lattice constant, and typically desirable lowbandgap.
  • the invention provides a photovoltaic device having a multiple quantum well portion formed of strained alternating quantum well layers of In x Ga 1 ⁇ x As, where x>0.53, and barrier layers of Ga y In 1 ⁇ y P, where y>0.
  • This combination of layers allows provision of an advantageously high barrier energy within the multiple quantum well system which reduces the dark current. Furthermore, this composition is well suited to stress balancing and use with the above mentioned virtual substrate.
  • FIG. 1 is a bandgap diagram of a strain-balanced quantum well cell.
  • the p- and n-regions are made of material that is lattice-matched to the InP substrate, e.g. In 0.53 Ga 0.47 As or InP.
  • the quantum wells are made of In x Ga 1 ⁇ x As with x >0.53, and the barrier of In x Ga 1 ⁇ x As with x ⁇ 0.53, GaInP or InGaAsP;
  • FIG. 2 is a schematic drawing of a strain-compensated quantum well cell where the width indicates the lattice parameter of the material when unstrained;
  • FIG. 3 is a graph of dark current densities of a strain-balanced quantum well cell (as depicted in FIG. 2 but with 30 quantum wells) compared with bulk GaSb of similar effective bandgap (see FIG. 4) and lattice-matched bulk InGaAs;
  • FIG. 4 is a graph of modelled internal quantum efficiency (with back-surface reflector) of a strain-balanced quantum well cell (as depicted in FIG. 2 but with 30 quantum wells) compared with bulk GaSb and lattice-matched bulk InGaAs;
  • FIG. 5 is a graph of modelled internal quantum efficiency (with back-surface reflector) of a strain-balanced quantum well cell optimised for a Holmia emitter (not to scale);
  • FIG. 6 is a graph of the dark current of an AlGaAs/GaAs quantum well cell, where the data (dots) is fitted (black line). The modelled dark current density for a QWC with a higher band-gap barrier (grey line) is reduced; and
  • FIG. 7 shows Lattice constant vs Bandgap of the material system In x Ga 1 ⁇ x As 1 ⁇ y P y .
  • a photovoltaic cell to convert low energy photons consisting of a p-i-n diode with a strain-balanced multi-quantum-well system incorporated in the intrinsic region.
  • the bandgap of the quantum wells is lower than that of the lattice-matched material, while the barriers have a much higher bandgap.
  • the high band-gap barriers reduce the dark current. Hence the absorption can be extended to longer wavelengths, while maintaining a low dark current.
  • the strain is compensated by choosing the material compositions and thicknesses of the layers in such a way that the average stress is zero, taking into account the elastic properties of the materials. Thereby the creation of misfit dislocations, which are detrimental to the dark current and hence to the cell conversion efficiency, can be avoided.
  • the number of quantum wells that can be incorporated is therefore not limited by the build-up of strain, but only by the size of the i-region, and is typically 30-60 [This is an important advantage over Freundlich's strained QWs with a maximum number of about 20 (see U.S. Pat No. 5,851,310 and U.S. Pat. No. 6,150,604)].
  • the width of the i-region is limited by the electric field that needs to be maintained across it.
  • the absorption can be further extended to longer wavelengths by introducing a strain-relaxed layer (virtual substrate) between the substrate and the active cell.
  • the device is then grown on this virtual substrate and the layers are strain-balanced with respect to the new lattice constant. This allows one to effectively move to a specific lattice constant which is associated with a desired band gap for the lattice matched and strain-balanced materials. This is of particular interest for thermophotovoltaic applications with lower temperature sources, as one can extend the absorption towards the required long wavelengths.
  • FIG. 2 the strain-balancing conditions of one example are shown, where the average lattice-constant of wells and barriers is roughly the same as the InP substrate.
  • FIG. 1 shows a schematic diagram of the energy band-gaps of this kind of structure. This specific sample was not designed for TPV applications; the p-region, for example, is far too thick. It does not quite fulfil the ideal strain-balanced conditions, but is close enough to avoid strain relaxation as is evident by the low dark current of the device (see FIG. 3). In fact, the dark current density is even lower than in a very good lattice-matched bulk InGaAs/InP cell [N. S. Fatemi et al., in Proc. 26th IEEE PV specialists conf.
  • SR spectral response
  • the effective band-gap, resulting from the material composition and the confinement, is about 1.77 ⁇ m, which is well beyond the band-edge of lattice-matched InGaAs.
  • the strain-balanced approach has enabled the absorption threshold to be extended out to 1.77 ⁇ m while retaining a dark current more appropriate to a cell with a band-edge of less than 1.65 ⁇ m.
  • the band-edge of the strain-balanced QWC is similar to that of a GaSb cell, but it has a lower dark current (see FIG. 3).
  • Strain-balanced QWCs in InGaP/InGaAs on GaAs have demonstrated dark currents comparable to homogenous GaAs cells [N. J. Ekins-Daukes et al., Appl.Phys.Lett.75, 4195 (1999)].
  • the cell efficiency can be determined given the measured dark current data of the cell, assuming superposition of dark and light current.
  • the p-region of a device would typically be as thin as 1500 ⁇ (instead of 7000 ⁇ ) in order to increase the light level that reaches the active i-region where carrier separation is most efficient and to reduce free carrier absorption.
  • a mirror on the back of a semi-insulating (i.e. charge neutral) substrate is particularly useful for QWCs as it enhances the well contribution significantly. The effect of such a mirror is simulated by doubling the light pass through the wells.
  • the strain-balanced QWC is modelled with these modifications and, for the purpose of comparison, the reflectivity is removed to show the internal quantum efficiency in FIG. 4.
  • the lower dark current of the QWCs is the main reason for their higher efficiencies in Table III.
  • the lattice-matched InGaAsP QWC shows higher efficiencies than the InGaAs MIM and GaSb in all cases except for black-body temperatures below about 2000 K.
  • Higher black-body temperatures for example 3200 K and the solar spectrum AM1.5 (approximating 5800 K) at 100 times concentration, are favourable for the lattice-matched InGaAsP QWC.
  • the strain-balanced QWC outperforms the others.
  • the MgO emitter which was designed for a GaSb cell [L. Ferguson and L.
  • the conversion efficiency can be further substantially increased by reducing the dark current. In strain-balanced devices, this can be achieved if higher band-gap material is used for the barriers as indicated in FIG. 1 and Table II.
  • FIG. 6 A model for the dark current behaviour of QWCs is used in FIG. 6.
  • a dark current density of an AlGaAs/GaAs quantum well cell is fitted, and it shows that the modelled dark current density for a QWC with a higher band-gap barrier is reduced and hence the efficiency will be increased.
  • the material composition of In x Ga 1 ⁇ x As 1 ⁇ y P y must be chosen to lie on the vertical line in FIG. 7 going through InP, which corresponds to x ⁇ 0.53+0.47 y. That means, the lowest bandgap one can achieve with lattice-matched material is with In 0.53 Ga 0.47 As, a bandgap of E g ⁇ 0.74 eV. Strain-compensation in a multi-layer system allows one to achieve lower effective band-gaps.
  • the quantum wells are compressively strain, going down the branch from In 0.53 Ga 0.47 As towards InAs (i.e.
  • This virtual substrate can be made of InAsP (upper branch in FIG. 7) [Wilt et al., 28th IEEE PVSC (2000), p. 1024] instead of InGaAs.
  • InAsP buffer is better in confining the dislocations in the virtual substrate, which is crucial for successfully growing a strain-compensated multi-quantum well (MQW) structure on top of it.
  • a 0 is the lattice constant of the substrate (or virtual substrate), and a 1 is the natural unstrained lattice constant of layer i.
  • a strain-balanced structure should be designed such that a single period composed of one tensile and one compressively strained layer, exerts no shear force on its neighbouring layers or substrate. To achieve such a zero stress situation, one needs to taken into account the differences in elastic properties of the layers. Applying linear elastic theory one can derive the following conditions
  • t 1 and t 2 are the thicknesses of layers 1 and 2
  • C 11 and C 12 are the elastic stiffness coefficients.

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Abstract

A photovoltaic cell to convert low energy photons is described, consisting of a p-i-n diode with a strain-balanced multi-quantum-well system incorporated in the intrinsic region. The bandgap of the quantum wells is lower than that of the lattice-matched material, while the barriers have a much higher bandgap. Hence the absorption can be extended to longer wavelengths, while maintaining a low dark current as a result of the higher barriers. This leads to greatly improved conversion efficiencies, particularly for low energy photons from low temperature sources. This can be achieved by strain-balancing the quantum wells and barriers, where each individual layer is below the critical thickness and the strain is compensated by quantum wells and barriers being strained in opposite directions minimizing the stress. The absorption can be further extended to longer wavelengths by introducing a strain-relaxed layer (virtual substrate) between the substrate and the active cell.

Description

    BACKGROUND OF THE INVENTION
  • 1. Field of the Invention [0001]
  • This invention relates to an improved photovoltaic device/cell for the conversion of heat radiation into electricity. [0002]
  • 2. Description of the Prior Art [0003]
  • Thermophotovoltaics (TPV) is the use of photovoltaic (PV) cells to convert heat radiation, e.g. from the combustion of fossil fuels or biomass, into electricity. The energy spectrum is often reshaped using selective emitters which absorb the heat and re-emit in a narrow band. The re-emitted radiation may be efficiently converted to electric power using a PV cell of appropriate low band-gap. Higher PV cell efficiencies can be achieved by introducing multi-quantum-wells (MQW) into the intrinsic region of a p-i-n diode if the gain in short-circuit current exceeds the loss in open-circuit voltage [K. W. J. Bartham and G. Duggan, J. Appl. Phys. 67, 3490 (1990). K. Barnham et al., Applied Surface Science 113/114, 722 (1997). K. Barnham, International Published Patent Application WO-A-93/08606 and U.S. Pat. No. 5,496,415 (1993)]. A Quantum Well Cell (QWC) in the quaternary system InGaAsP lattice-matched to InP substrates is a promising candidate for TPV applications as the effective band-gap can be tuned, out to about 1.65 μm (In[0004] 0.53Ga0.47As), without introducing strain, by varying the well depth and width, to match a given spectrum. The enhancement in output voltage of a QWC is a major advantage for TPV applications [P. Griffin et al., Solar Energy Materials and Solar Cells 50, 213 (1998). C. Rohr et al., in Thermophotovoltaic Generation of Electricity: Fourth NREL Conf., Vol.460 of AIP Conf. Proc. (American Institute of Physics, Woodbury, N.Y., 1999), pp.83-92].
  • There is considerable interest in extending the absorption to longer wavelengths for higher overall system efficiencies with lower temperature sources; and lower temperature fossil sources have also lower levels of pollution. Appropriate and inexpensive substrates of the required lattice constant and band-gap are not available, so the lower band-gap material is often strained to the substrate, introducing dislocations which increase non-radiative recombination. Freundlich et al. have proposed strained quantum well devices [U.S. Pat. No. 5,851,310 (1998), U.S. Pat. No. 6,150,604 (2000)], but these can only incorporate a restricted number of wells without creating dislocations. Freundlich proposes limiting the number of wells to a maximum of 20, which will not produce sufficient absorption for efficient generation however. In a MQW system, these dislocations can be reduced by strain-balancing the layers; alternating barriers and wells have bigger and smaller lattice-constants, but on average are lattice-matched to the substrate [N. J. Ekins-Daukes et al., Appl.Phys.Lett.75, 4195 (1999)]. [0005]
  • SUMMARY OF THE INVENTION
  • Viewed from one aspect the invention provides a photovoltaic device having a multiple quantum well portion with alternating tensile strained layers and compressively strained layers, said tensile strained layers and said compressively strained layers having compositions such that a period of one tensile strained layer and one compressively strained layer exerts substantially no shear force on a neighbouring structure. [0006]
  • The invention recognises that rather than seeking to provide an average lattice constant that matches the substrate, what is truly important is to balance the forces in the tensile and compressively strained layer to provide an average or effective zero stress system. A device providing an average lattice constant matching the substrate may still allow a significant build up of stress that will result in undesirable dislocations. [0007]
  • With this concept one can extend the absorption threshold to longer wavelength without introducing dislocations. [0008]
  • With a strain-balanced multi-quantum-well stack in the intrinsic region of a two-terminal photovoltaic device the absorption threshold can be extended to longer wavelengths. In particular, with high bandgap barriers the dark current can be reduced at the same time, and hence the conversion efficiency is increased significantly. [0009]
  • What is also helpful to achieve higher conversion efficiencies is an improved voltage performance, due to a lower dark current. This is provided by the higher barriers which may also be provided when balancing the strain. [0010]
  • Viewed from another aspect the invention provides a photovoltaic device having a multiple well quantum portion formed upon a virtual substrate having a virtual substrate lattice constant different than a substrate lattice constant of an underlying substrate, wherein said virtual substrate is InP[0011] 1−xAsx, where 0<x<1 and said substrate is InP.
  • Using an InP[0012] 1−xAsx based virtual substrate allows lattice matching to a quantum well system having a relatively large lattice constant, and typically desirable lowbandgap.
  • Viewed from a further aspect the invention provides a photovoltaic device having a multiple quantum well portion formed of strained alternating quantum well layers of In[0013] xGa1−xAs, where x>0.53, and barrier layers of GayIn1−yP, where y>0.
  • This combination of layers allows provision of an advantageously high barrier energy within the multiple quantum well system which reduces the dark current. Furthermore, this composition is well suited to stress balancing and use with the above mentioned virtual substrate. [0014]
  • The above, and other objects, features and advantages of this invention will be apparent from the following detailed description of illustrative embodiments which is to be read in connection with the accompanying drawings.[0015]
  • BRIEF DESCRIPTION OF THE DRAWINGS
  • FIG. 1 is a bandgap diagram of a strain-balanced quantum well cell. The p- and n-regions are made of material that is lattice-matched to the InP substrate, e.g. In[0016] 0.53Ga0.47As or InP. The quantum wells are made of InxGa1−xAs with x >0.53, and the barrier of InxGa1−xAs with x<0.53, GaInP or InGaAsP;
  • FIG. 2 is a schematic drawing of a strain-compensated quantum well cell where the width indicates the lattice parameter of the material when unstrained; [0017]
  • FIG. 3 is a graph of dark current densities of a strain-balanced quantum well cell (as depicted in FIG. 2 but with 30 quantum wells) compared with bulk GaSb of similar effective bandgap (see FIG. 4) and lattice-matched bulk InGaAs; [0018]
  • FIG. 4 is a graph of modelled internal quantum efficiency (with back-surface reflector) of a strain-balanced quantum well cell (as depicted in FIG. 2 but with 30 quantum wells) compared with bulk GaSb and lattice-matched bulk InGaAs; [0019]
  • FIG. 5 is a graph of modelled internal quantum efficiency (with back-surface reflector) of a strain-balanced quantum well cell optimised for a Holmia emitter (not to scale); [0020]
  • FIG. 6 is a graph of the dark current of an AlGaAs/GaAs quantum well cell, where the data (dots) is fitted (black line). The modelled dark current density for a QWC with a higher band-gap barrier (grey line) is reduced; and [0021]
  • FIG. 7 shows Lattice constant vs Bandgap of the material system In[0022] xGa1−xAs1−yPy.
  • DESCRIPTION OF THE PREFERRED EMBODIMENTS
  • A photovoltaic cell to convert low energy photons is described, consisting of a p-i-n diode with a strain-balanced multi-quantum-well system incorporated in the intrinsic region. The bandgap of the quantum wells is lower than that of the lattice-matched material, while the barriers have a much higher bandgap. The high band-gap barriers reduce the dark current. Hence the absorption can be extended to longer wavelengths, while maintaining a low dark current. This leads to greatly improved conversion efficiencies, particularly for low energy photons from low temperature sources. This can be achieved by strain-balancing the quantum wells and barriers, where each individual layer is below the critical thickness and the strain is compensated by quantum wells and barriers being strained in opposite directions. The strain is compensated by choosing the material compositions and thicknesses of the layers in such a way that the average stress is zero, taking into account the elastic properties of the materials. Thereby the creation of misfit dislocations, which are detrimental to the dark current and hence to the cell conversion efficiency, can be avoided. The number of quantum wells that can be incorporated is therefore not limited by the build-up of strain, but only by the size of the i-region, and is typically 30-60 [This is an important advantage over Freundlich's strained QWs with a maximum number of about 20 (see U.S. Pat No. 5,851,310 and U.S. Pat. No. 6,150,604)]. The width of the i-region is limited by the electric field that needs to be maintained across it. [0023]
  • The absorption can be further extended to longer wavelengths by introducing a strain-relaxed layer (virtual substrate) between the substrate and the active cell. The device is then grown on this virtual substrate and the layers are strain-balanced with respect to the new lattice constant. This allows one to effectively move to a specific lattice constant which is associated with a desired band gap for the lattice matched and strain-balanced materials. This is of particular interest for thermophotovoltaic applications with lower temperature sources, as one can extend the absorption towards the required long wavelengths. [0024]
  • Description of the Preferred Embodiments
  • As an example for a strain-compensated QWC, we consider a 30 well In[0025] 0.62Ga0.38As/In0.47Ga0.53As (InP) QWC, grown by MOVPE, whose sample description is given in Table I.
    TABLE I
    Sample description of a strain-compensated quantum well cell.
    Conc.
    Layers Thickness (Å) Material Function Doping (cm−3)
    1 1000 In0.53Ga0.47As Cap p 1E + 19
    1 7000 InP Emitter p 2E + 18
    30 120 In0.45Ga0.55As Barrier i
    30 120 In0.62Ga0.38As Well i
    1 120 In0.47Ga0.53As Barrier i
    1 5000 InP Base n 1E + 18
    InP Substrate n
  • In FIG. 2 the strain-balancing conditions of one example are shown, where the average lattice-constant of wells and barriers is roughly the same as the InP substrate. FIG. 1 shows a schematic diagram of the energy band-gaps of this kind of structure. This specific sample was not designed for TPV applications; the p-region, for example, is far too thick. It does not quite fulfil the ideal strain-balanced conditions, but is close enough to avoid strain relaxation as is evident by the low dark current of the device (see FIG. 3). In fact, the dark current density is even lower than in a very good lattice-matched bulk InGaAs/InP cell [N. S. Fatemi et al., in Proc. 26th IEEE PV specialists conf. (IEEE, USA, 1997), pp.799-804] as shown in FIG. 3. In FIG. 4 we show the spectral response (SR) (=external quantum efficiency) data of the strain-balanced QWC at zero bias. The effective band-gap, resulting from the material composition and the confinement, is about 1.77 μm, which is well beyond the band-edge of lattice-matched InGaAs. Hence the strain-balanced approach has enabled the absorption threshold to be extended out to 1.77 μm while retaining a dark current more appropriate to a cell with a band-edge of less than 1.65 μm. The band-edge of the strain-balanced QWC is similar to that of a GaSb cell, but it has a lower dark current (see FIG. 3). Strain-balanced QWCs in InGaP/InGaAs on GaAs have demonstrated dark currents comparable to homogenous GaAs cells [N. J. Ekins-Daukes et al., Appl.Phys.Lett.75, 4195 (1999)]. We have shown (see FIG. 3) that, if anything, In[0026] xGa1−xAs/InzGa1−zAs (InP) cells with absorption edges out to 1.77 μm have lower dark currents than bulk InGaAs cells. To obtain even lower dark currents, we need a higher band-gap in the barriers. We can achieve that by using a different material for the barrier, such as InxGa1−xAs1−yPy with y>0 or GaInP as indicated in FIG. 1, and an example for such a device is given in Table II.
    TABLE II
    Sample description of a strain-balanced quantum well cell with
    high bandgap barriers.
    Conc.
    Layers Thickness (Å) Material Function Doping (cm−3)
    1 1000 In0.53Ga0.47As Cap p 1E + 19
    1 1500 InP Emitter p 5E + 18
    1 50 Ga0.18In0.82P Barrier i
    49 100 Ga0.18In0.82P Barrier i
    50 100 In0.72Ga0.28As Well i
    1 50 Ga0.18In0.82 P Barrier i
    1 5000 InP Base n 1E + 18
    InP Substrate n
  • We have developed a model which calculates the SR of multi-layer In[0027] xGa1−xAs1−yPy devices, lattice-matched to InP (x=0.47 y) [M. Paxman et al., J.Appl.Phys.74, 614 (1993), C. Rohr et al., in Thermophotovoltaic Generation of Electricity: Fourth NREL Conf., Vol.460 of AIP Conf. Proc. (American Institute of Physics, Woodbury, N.Y., 1999), pp.83-92], which has been extended to estimate the SR of strain-balanced InxGa1−xAs/InzGa1−zAs on InP [C. Rohr et al., in Proc. 26th International Symposium on Compound Semiconductors No.166 in Institute of Physics Conference Series (Institute of Physics Publishing, Bristol and Philadelphia, 2000), pp.423-426]. The cell efficiency can be determined given the measured dark current data of the cell, assuming superposition of dark and light current. For photovoltaic applications the p-region of a device would typically be as thin as 1500 Å (instead of 7000 Å) in order to increase the light level that reaches the active i-region where carrier separation is most efficient and to reduce free carrier absorption. A mirror on the back of a semi-insulating (i.e. charge neutral) substrate is particularly useful for QWCs as it enhances the well contribution significantly. The effect of such a mirror is simulated by doubling the light pass through the wells. The strain-balanced QWC is modelled with these modifications and, for the purpose of comparison, the reflectivity is removed to show the internal quantum efficiency in FIG. 4.
  • We compare our strain-balanced QWC as well as our lattice-matched InGaAsP QWCs with lattice-matched InGaAs monolithic interconnected modules (MIMs) [N. S. Fatemi et al., in Proc. 26th IEEE PV specialists conf. (IEEE, USA, 1997), pp.799-804], one of the best lattice-matched bulk InGaAs/InP TPV cells, and with bulk GaSb [A. W. Bett et al., in Thermophotovoltaic Generation of Electricity: Third NREL Conf., Vol.401 of AIP Conf. Proc. (American Institute of Physics, Woodbury, N.Y., 1997), pp. 41-53], currently the only material which is being used commercially for TPV applications. To compare efficiencies we assume ‘typical’ TPV conditions of 100 kW/m[0028] 2 normalised power density, grid shading of 5%, and internal quantum efficiencies for all cells. A back surface reflector is an integral part of MIM technology and particularly useful for QWCs as it enhances the well contribution significantly. It also increases TPV system efficiency because longer wavelength radiation, that is not absorbed by the cell, is reflected back to the source. The efficiency projections for various illuminating spectra are calculated from data presented in FIGS. 3 and 4 and are summarised in Table III. The relative efficiencies are rather more reliable than the absolute values.
    TABLE III
    Comparison of predicted efficiencies (in %) of bulk InGaAs MIM,
    GaSb, lattice-matched and strain-balanced quantum well cells with
    back-mirror using internal quantum efficiencies, under various
    spectra at 100 kW/m2, and 5% grid shading:
    Bulk InGaAs InGaAsP Strain-bal.
    Spectrum MIM Bulk GaSb QWC QWC
    Solar × 100 16 16 20 19
    3200K 18 18 22 27
    blackbody
    2000K 11 11 12 22
    blackbody
    1500K 5.5 5.6 4.8 14
    blackbody
    MgO 13 15 16 41
    Ytterbia 26 25 42 32
    Erbia 37 37 46 43
    Holmia 4.5 5.4 4.1 39
  • The lower dark current of the QWCs (see FIG. 3) is the main reason for their higher efficiencies in Table III. The lattice-matched InGaAsP QWC shows higher efficiencies than the InGaAs MIM and GaSb in all cases except for black-body temperatures below about 2000 K. Higher black-body temperatures, for example 3200 K and the solar spectrum AM1.5 (approximating 5800 K) at 100 times concentration, are favourable for the lattice-matched InGaAsP QWC. At black-body temperatures around 2000 K and below, the strain-balanced QWC outperforms the others. Particularly with the MgO emitter, which was designed for a GaSb cell [L. Ferguson and L. Fraas, in Thermophotovoltaic Generation of Electricity: Third NREL Conference Vol.401 of AIP Conf. Proc. (American Institute of Physics, Woodbury, N.Y., 1997), pp. 169-179], the strain-balanced QWC is significantly better and shows an efficiency which is about 50% higher than that of a GaSb cell (see Table III). [0029]
  • Based on these results it should be possible to use this concept of strain-balanced QWCs to extend the absorption threshold even further, beyond 2 μm, optimised for TPV applications with a Holmia emitter (see FIG. 5). The efficiency for such a strain-balanced QWC with a Holmia emitter [M. F. Rose et al., Journal of Propulsion and Power 12, 83 (1996)] is predicted to reach 39% under the same conditions as discussed above. The more the band-edge of a PV cell is extended towards longer wavelengths, the more suitable it becomes for lower temperature sources. [0030]
  • The conversion efficiency can be further substantially increased by reducing the dark current. In strain-balanced devices, this can be achieved if higher band-gap material is used for the barriers as indicated in FIG. 1 and Table II. [0031]
  • A model for the dark current behaviour of QWCs is used in FIG. 6. In FIG. 6, a dark current density of an AlGaAs/GaAs quantum well cell is fitted, and it shows that the modelled dark current density for a QWC with a higher band-gap barrier is reduced and hence the efficiency will be increased. [0032]
  • In order to be lattice-matched to an InP substrate, the material composition of In[0033] xGa1−xAs1−yPy must be chosen to lie on the vertical line in FIG. 7 going through InP, which corresponds to x≈0.53+0.47 y. That means, the lowest bandgap one can achieve with lattice-matched material is with In0.53Ga0.47As, a bandgap of Eg≈0.74 eV. Strain-compensation in a multi-layer system allows one to achieve lower effective band-gaps. The quantum wells are compressively strain, going down the branch from In0.53Ga0.47As towards InAs (i.e. x>0.53), and to compensate the barriers have tensile strain going up the branch from In0.53Ga0.47As towards GaAs (i.e. x<0.53). To improve the dark current with higher bandgap barriers one can use material compositions with y>0 and the same lattice constant as before, i.e. going up on a vertical line in FIG. 7. To achieve high bandgap barriers, these may be formed of GayIn1−yP, where y>0. In FIG. 7 this composition follows the upper limit between InP and GaP.
  • By introducing a virtual substrate, still lower bandgaps can be reached as the lattice constant is increased by relaxed buffer layers. This shifts the base or reference line for strain-compensation towards the right in FIG. 7. This virtual substrate can be made of InAsP (upper branch in FIG. 7) [Wilt et al., 28th IEEE PVSC (2000), p. 1024] instead of InGaAs. Such an InAsP buffer is better in confining the dislocations in the virtual substrate, which is crucial for successfully growing a strain-compensated multi-quantum well (MQW) structure on top of it. [0034]
  • The conditions for zero-stress strain-balance may be determined from the following considerations: [0035]
  • The strain ε for each layer i is defined as [0036] ɛ i = a 0 - a i a i
    Figure US20030089392A1-20030515-M00001
  • where a[0037] 0 is the lattice constant of the substrate (or virtual substrate), and a1 is the natural unstrained lattice constant of layer i.
  • A strain-balanced structure should be designed such that a single period composed of one tensile and one compressively strained layer, exerts no shear force on its neighbouring layers or substrate. To achieve such a zero stress situation, one needs to taken into account the differences in elastic properties of the layers. Applying linear elastic theory one can derive the following conditions [0038]
  • e[0039] 1t1A1a2+e2t2A2a1=0 (zero-stress condition) a 0 = t 1 A 1 a 1 a 2 2 + t 2 A 2 a 2 a 1 2 t 1 A 1 a 2 2 + t 2 A 2 a 1 2 5 ( Match substrate lattice constant ) A = C 11 + C 12 - 2 C 12 2 C 11 ( Layer stiffness )
    Figure US20030089392A1-20030515-M00002
  • where t[0040] 1 and t2 are the thicknesses of layers 1 and 2, and C11 and C12 are the elastic stiffness coefficients.
  • Although illustrative embodiments of the invention have been described in detail herein with reference to the accompanying drawings, it is to be understood that the invention is not limited to those precise embodiments, and that various changes and modifications can be effected therein by one skilled in the art without departing from the scope and spirit of the invention as defined by the appended claims. [0041]

Claims (41)

We claim:
1. A photovoltaic device having a multiple quantum well portion with alternating tensile strained layers and compressively strained layers, said tensile strained layers and said compressively strained layers having compositions such that a period of one tensile strained layer and one compressively strained layer exerts substantially no shear force on a neighbouring structure.
2. A photovoltaic device as claimed in claim 1, wherein said neighbouring structure is one of:
a further period of one tensile strained layer and one compressively strained layer;
a layer of arbitrary doping having the same lattice constant as a substrate; and a substrate.
3. A photovoltaic device as claimed in claim 1, being a crystalline photovoltaic device grown upon a substrate with a substrate lattice constant.
4. A photovoltaic device as claimed in claim 3, wherein at least one of said tensile strained layers or said compressively strained layers is a quantum well having a Group III/V semiconductor composition with a bandgap lower than if said quantum well had a lattice constant equal to said substrate lattice constant.
5. A photovoltaic device as claimed in claim 3, wherein at least one of said tensile strained layers or said compressively strained layers is a barrier having a Group III/V semiconductor composition with a bandgap higher than if said barrier had a lattice constant equal to said substrate lattice constant.
6. A photovoltaic device as claimed in claim 1, wherein said multiple quantum well portion is formed of alternating quantum well layers and barrier layers having a Group III/V semiconductor composition, wherein a period of one quantum well layer and one quantum barrier layer contains at least four different elements and has an average lattice constant substantially matching a neighbouring structure lattice constant.
7. A photovoltaic device as claimed in claim 4, wherein said substrate is InP and said compressively strained layer is InxGa1−xAs, where x>0.53.
8. A photovoltaic device as claimed in claim 5, wherein said substrate is InP and said tensile strained layer is InxGa1−xAs1−yPy, where y>0.
9. A photovoltaic device as claimed in claim 8, wherein y=1 such that said tensile strained layer is GaInP.
10. A photovoltaic device as claimed in claim 3, wherein said substrate is InP and said multiple quantum well portion is formed of layers of AlxGa1−xAsySb1−y, where 0≦x≦1 and 0≦y≦1.
11. A photovoltaic device as claimed in claim 3, wherein said substrate is GaSb and said multiple quantum well portion is formed of layers of InxGa1−xAsySb1−y, where 0≦x≦1 and 0≦y≦1.
12. A photovoltaic device as claimed in claim 3, wherein said substrate is GaAs.
13. A photovoltaic device as claimed in claim 12, wherein said multiple quantum well portion is formed of layers of InxGa1−xAsyP1−y, where 0≦x≦1 and 0≦y≦1.
14. A photovoltaic device as claimed in claim 1, wherein said multiple quantum well portion is formed upon a virtual substrate composed of a strain relaxed buffer layer having a virtual substrate lattice constant different from a substrate lattice constant of an underlying substrate.
15. A photovoltaic device as claimed in claim 14, wherein said virtual substrate is InP1−yAsy, where 0<y<1, and said substrate is InP.
16. A photovoltaic device as claimed in claim 1, wherein said photovoltaic device is a thermophotovoltaic device.
17. A photovoltaic device as claimed in claim 1, wherein said quantum wells have a bandgap substantially equal to or less than 0.73 eV
18. A photovoltaic device having a multiple well quantum portion formed upon a virtual substrate having a virtual substrate lattice constant different than a substrate lattice constant of an underlying substrate, wherein said virtual substrate is InP1−xAsx, where 0<x<1, and said substrate is InP.
19. A photovoltaic device as claimed in claim 18, wherein said multiple quantum well portion is formed with alternating tensile strained layers and compressively strained layers, said tensile strained layers and said compressively strained layers having compositions such that a period of one tensile strained layer and one compressively strained layer exerts substantially no shear force on a neighbouring structure.
20. A photovoltaic device as claimed in claim 19, wherein said neighbouring structure is one of:
a further period of one tensile strained layer and one compressively strained layer;
a layer of arbitrary doping having the same lattice constant as said virtual substrate; and
said virtual substrate.
21. A photovoltaic device as claimed in claim 18, wherein at least one of said tensile strained layers or said compressively strained layers is a quantum well having a Group III/V semiconductor composition with a bandgap lower than if said quantum well had a lattice constant equal to said substrate lattice constant.
22. A photovoltaic device as claimed in claim 18, wherein at least one of said tensile strained layers or said compressively strained layers is a barrier having a Group III/V semiconductor composition with a bandgap higher than if said barrier had a lattice constant equal to said substrate lattice constant.
23. A photovoltaic device as claimed in claim 18, wherein said multiple quantum well portion is formed of alternating quantum well layers and barrier layers having a Group III/V semiconductor composition, wherein a period of one quantum well layer and one quantum barrier layer contains at least four different elements and has an average lattice constant substantially matching a neighbouring structure lattice constant.
24. A photovoltaic device as claimed in claim 21, wherein said substrate is InP and said compressively strained layer is InxGa1−xAs, where x is larger than z of InzGa1−zAs which is lattice-matched to the virtual substrate.
25. A photovoltaic device as claimed in claim 23, wherein said substrate is InP and said tensile strained layer is InxGa1−xAs1−yPy, where y>0.
26. A photovoltaic device as claimed in claim 25, wherein y=1 such that said tensile strained layer is GaInP or wherein x=1 such that said tensile strained layer is InAsP
27. A photovoltaic device as claimed in claim 18, wherein said substrate is InP and said multiple quantum well portion is formed of layers of AlxGa1−xAsySb1−y, where 0≦x≦1 and 0≦y≦1.
28. A photovoltaic device as claimed in claim 18, wherein said substrate is GaSb and said multiple quantum well portion is formed of layers of InxGa1−xAsySb1−y, where 0≦x≦1 and 0≦y≦1.
29. A photovoltaic device as claimed in claim 18, wherein said substrate is GaAs.
30. A photovoltaic device as claimed in claim 29, wherein said multiple quantum well portion is formed of layers of InxGa1−xAsyP1−y, where 0<x<1 and 0<y<1.
31. A photovoltaic device as claimed in claim 18, wherein said photovoltaic device is a thermophotovoltaic device.
32. A photovoltaic device as claimed in claim 18, wherein said quantum wells have a bandgap substantially equal to or less than 0.73 eV
33. A photovoltaic device having a multiple quantum well portion formed of strained alternating quantum well layers of Inx,Ga1−xAs, where x>0.53, and barrier layers of GayIn1−yP, where y>0.
34. A photovoltaic device as claimed in claim 33, wherein said multiple quantum well portion is formed with alternating tensile strained layers and compressively strained layers, said tensile strained layers and said compressively strained layers having compositions such that a period of one tensile strained layer and one compressively strained layer exerts substantially no shear force on a neighbouring structure.
35. A photovoltaic device as claimed in claim 34, wherein said neighbouring structure is one of:
a further period of one tensile strained layer and one compressively strained layer;
a layer of arbitrary doping having the same lattice constant as a substrate; and a substrate.
36. A photovoltaic device as claimed in claim 33, being a crystalline photovoltaic device grown upon a substrate layer with a substrate lattice constant.
37. A photovoltaic device as claimed in claim 36, wherein said substrate is InP.
38. A photovoltaic device as claimed in claim 33, wherein said multiple quantum well portion is formed upon a virtual substrate composed of a strain relaxed buffer layer having a virtual substrate lattice constant different from a substrate lattice constant of an underlying substrate.
39. A photovoltaic device as claimed in claim 38, wherein said virtual substrate is InP1−yAsy, where 0<y<1, and said substrate is InP.
40. A photovoltaic device as claimed in claim 33, wherein said photovoltaic device is a thermophotovoltaic device.
41. A photovoltaic device as claimed in claim 33, wherein said quantum wells have a bandgap substantially equal to or less than 0.73 eV.
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