Thermodynamics of the System of Massive Dirac Fermions in a Uniform Magnetic Field
- 1 October 2021
- journal article
- research article
- Published by IOP Publishing in Chinese Physics Letters
Abstract
We construct the grand partition function of the system of massive Dirac fermions in a uniform magnetic field from Landau levels, through which all thermodynamic quantities can be obtained. Making use of the Abel-Plana formula, these thermodynamic quantities can be expanded as power series with respect to the dimensionless variable b = 2eB/T (2). The zero-field magnetic susceptibility is expanded at zero mass, and the leading order term is logarithmic. We also calculate scalar, vector current, axial vector current and energy-momentum tensor of the system through ensemble average approach. Mass correction to chiral separation effect is discussed. For massless chiral fermions, our results recover the chiral magnetic effect for right- and left-handed fermions, as well as chiral separation effect.This publication has 48 references indexed in Scilit:
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