Thermodynamics of chiral fermion system in a uniform magnetic field

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 = 2eB/T-2. We find that the series expansions of the energy density, pressure, magnetization intensity, and magnetic susceptibility contain a singular term with in 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.