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arXiv · 2105.14786

Thermodynamics of the system of massive Dirac fermions in a uniform magnetic field

Ren-Hong Fang·Ren-Da Dong·De-Fu Hou·Bao-Dong Sun
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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.

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Ren-Hong Fang, Ren-Da Dong, De-Fu Hou, Bao-Dong Sun. 2021-05-31. Thermodynamics of the system of massive Dirac fermions in a uniform magnetic field. https://doi.org/10.1088/0256-307x%2F38%2F9%2F091201

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