Thermodynamics of chiral fermion system in a uniform magnetic field

Abstract

We construct the grand partition function of the system of chiral 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 series with respect to a dimensionless variable b ¼ 2eB=T 2. We find that the series expansions of the energy density, pressure, magnetization intensity, and magnetic susceptibility contain a singular term with ln b 2 , while the particle number density, entropy density, and heat capacity are power series of b 2. The asymptotic behaviors of these thermodynamic quantities in extreme conditions are also discussed.

Thermodynamics for a rotating chiral fermion system in the uniform magnetic field

“…where the logarithmic term b 2 ln b 2 has been discussed in detail in [11], and its coefficient is independent of ω in this work. It is worth noting that there would be no such logarithmic term if the un-normal ordering description of field operators was adopted [4,31].…”

“…In a recent article [11], making use of Abel-Plana formula, the authors obtained the asymptotic expansion of g(x, b) at b = 0 as follows…”

“…For a uniformly rotating massless fermion system, the analytic expressions of the charge current and the energy-momentum tensor are obtained [9]. For the massive and massless fermion systems under the background of a uniform magnetic field, the general expansions according to fermion mass, magnetic field and chemical potential are derived by the approaches of proper-time and grand partition function [10][11][12].…”

De Haas - van Alphen Effect under Rotation

“…De Haas-van Alphen effect is the consequence of charged fermions filling discrete but highly degenerate Landau levels [26,27] in a magnetic field. In the absence of rotation, all degenerate Landau levels are equally populated at thermal equilibrium and the disceteness of different Laudau level is refelected in the thermodynamic limit as the oscillatory terms with respect to the chemical potential and the magnetic field in the thermodynamic potential, magnetization and magnetic susceptibility as well as some transport coefficients.…”

Holographic Schwinger effect in the dynamical AdS/QCD model

“…In the further research, the magnetic field has significant influences on the QCD matter and phase diagram [42][43][44]. The interesting properties of the magnetic field drew much attention in different subjects [45][46][47][48][49][50][51][52].…”