| THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
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Thermodynamics of the System of Massive Dirac Fermions in a Uniform Magnetic Field |
| Ren-Hong Fang1, Ren-Da Dong2, De-Fu Hou2*, and Bao-Dong Sun1* |
1Key Laboratory of Particle Physics and Particle Irradiation (MOE), Institute of Frontier and Interdisciplinary Science, Shandong University, Qingdao 266237, China
2Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics (MOS), Central China Normal University, Wuhan 430079, China
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| Cite this article: |
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Ren-Hong Fang, Ren-Da Dong, De-Fu Hou et al 2021 Chin. Phys. Lett. 38 091201 |
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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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Received: 16 June 2021
Editors' Suggestion
Published: 02 September 2021
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| Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 11890713, 11735007, 11890711, and 11947228), and the Chinese Postdoctoral Science Foundation (Grant No. 2019M662316). |
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