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
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.
. [J]. 中国物理快报, 2021, 38(9): 91201-.
Ren-Hong Fang, Ren-Da Dong, De-Fu Hou, and Bao-Dong Sun. Thermodynamics of the System of Massive Dirac Fermions in a Uniform Magnetic Field. Chin. Phys. Lett., 2021, 38(9): 91201-.
2021, Vol. 38 
