Thermodynamics of the System of Massive Dirac Fermions in a Uniform Magnetic Field

作者：Fang, Ren-Hong; Dong, Ren-Da; Hou, De-Fu^*; Sun, Bao-Dong^*

来源：Chinese Physics Letters, 2021, 38(9): 091201.

DOI：10.1088/0256-307X/38/9/091201

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.

• 单位
  山东大学