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    Band Structure of Graphite and de Haas-van Alphen Effect

    J. W. McClure*

    • National Carbon Research Laboratories, National Carbon Company, Cleveland, Ohio
    • *A Division of Union Carbide Corporation.

    Phys. Rev. 108, 612 – Published 1 November, 1957

    DOI: https://doi.org/10.1103/PhysRev.108.612

    Abstract

    The de Haas-van Alphen effect in the magnetic susceptibility of graphite has been interpreted by applying the susceptibility formula for general bands of Lifschitz and Kosevich to the band model of Slonczewski. The majority electrons and holes are responsible for the two periods of oscillation of the susceptibility. The analysis yields information concerning the band structure: (1) the total band overlap is about 0.03 ev, (2) the energy difference between the two doubly degenerate bands at the corner of the Brillouin zone is about 0.025 ev, (3) γ0 must be larger than about 1.2 ev, and (4) the relation γ1=0.04γ02 holes approximately (where both γ's are in ev and correspond to Wallace's notation). Calculated carrier densities are 2.4×105 per atom for electrons and 1.8×105 per atom for holes, in rough agreement with estimates made from galvanomagnetic data. Rough agreement with electron specific-heat data is also obtained.

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