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Delta-T noise for fractional quantum Hall states at different filling factor

Giacomo Rebora1,2,*, Jérôme Rech3, Dario Ferraro1,2, Thibaut Jonckheere3, Thierry Martin3, and Maura Sassetti1,2

  • 1Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146, Genova, Italy
  • 2CNR-SPIN, Via Dodecaneso 33, 16146, Genova, Italy
  • 3Aix Marseille Univ, Université de Toulon, CNRS, CPT, IphU, AMUtech, Marseille 13288, France
  • *rebora@fisica.unige.it
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Phys. Rev. Research 4, 043191 – Published 15 December, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.043191

Abstract

The current fluctuations due to a temperature bias, i.e., the delta-T noise, allow one to access properties of strongly interacting systems which cannot be addressed by the usual voltage-induced noise. In this work, we study the full delta-T noise between two different fractional quantum Hall edge states, with filling factors (νL,νR) in the Laughlin sequence, coupled through a quantum point contact and connected to two reservoirs at different temperatures. We are able to solve exactly the problem for all couplings and for any set of temperatures in the specific case of a hybrid junction (1/3,1). Moreover, we derive a universal analytical expression which connects the delta-T noise to the equilibrium one valid for all generic pairs (νL,νR) up to the first order in the temperature mismatch. We expect that this linear term can be accessible in today's experimental setups. We describe the two opposite-coupling regimes focusing on the strong one, which corresponds to a nontrivial situation. Our analysis on delta-T noise allows us to better understand the transport properties of strongly interacting systems and to move toward more involved investigations concerning the statistics and scaling dimension of their emergent excitations.

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Phys. Rev. Research 4, 043191– Published 15 December, 2022
  • Received 1 July 2022
  • Revised 18 October 2022
  • Accepted 8 November 2022
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