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Thermodynamics of electrons in the graphene bilayer

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Abstract

Some problems of the thermodynamics of electrons in a doped graphene bilayer are considered. Analytical expressions are derived for chemical potential and specific heat in the limiting cases of low and high temperatures. The Seebeck and Thomson coefficients are estimated. Landau levels are studied using a semi-classical approach. An expression for thermodynamic potential is obtained and the de Haas-van Alphen oscillations are studied. The oscillations of magnetic entropy and electron temperature in a magnetic field, i.e., the oscillating magnetocaloric effect, are investigated. For all parameters, the cases of graphene bilayer and monolayer are compared.

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Authors and Affiliations

  1. Prokhorov General Physics Institute, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russia

    Z. Z. Alisultanov

  2. Amirkhanov Institute of Physics, Dagestan Research Center, Russian Academy of Sciences, Makhachkala, 367003, Russia

    Z. Z. Alisultanov

  3. Dagestan State University, Makhachkala, 367000, Russia

    Z. Z. Alisultanov

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  1. Z. Z. Alisultanov
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Correspondence to Z. Z. Alisultanov.

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Original Russian Text © Z.Z. Alisultanov, 2014, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2014, Vol. 146, No. 2, pp. 340–351.

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Alisultanov, Z.Z. Thermodynamics of electrons in the graphene bilayer. J. Exp. Theor. Phys. 119, 300–310 (2014). https://doi.org/10.1134/S1063776114070012

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  • DOI: https://doi.org/10.1134/S1063776114070012

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