npsm 새물리 New Physics : Sae Mulli

pISSN 0374-4914 eISSN 2289-0041
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Research Paper

New Phys.: Sae Mulli 2018; 68: 1048-1051

Published online October 31, 2018 https://doi.org/10.3938/NPSM.68.1048

Copyright © New Physics: Sae Mulli.

Compressibility of a Fermion Gas in Graphene

Gukhyung IHM*

Department of Physics, Chungnam National University, Daejeon 34134, Korea

Correspondence to:ghihm@cnu.ac.kr

Received: September 10, 2018; Accepted: September 27, 2018

This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present the electronic compressibility of a Fermi gas in graphene. We focus on investigating both the temperature and the electron density dependences of the compressibility while neglecting electron-electron interactions and disorder effects. In previous studies, the temperature dependence of the compressibility has been neglected mainly due to its behavior being independent of temperature for ordinary two-dimensional electrons in a semiconductor. We use the Sommerfeld expansion method to obtain the relation between the chemical potential and the electron density, which is crutial in determining the compressibility. As a result, in contrast to ordinary two-dimensional electron systems, the compressibility of graphene has been shown to have a distinct temperature dependence of ~ $[E_F^2 - \frac{\pi^2}{3}(k_BT)^2]^{1/2}$.

Keywords: Compressibility, Graphene, Sommerfeld expansion, Chemical potential

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