Thermodynamics for a Rotating Chiral Fermion System in the Uniform Magnetic Field

Abstract

We study the thermodynamics for a uniformly rotating system of chiral fermions under the uniform magnetic field. Then, we obtain the mathematical expressions of some thermodynamic quantities in terms of the series with respect to the external magnetic field B, the angular velocity Ω and the chemical potential μ, expanded around B=0, Ω=0 and μ=0. Our results given by such series are a generalization of the expressions available in the references simply corresponding to the lower-order terms of our findings. The zero-temperature limit of our results is also discussed.

De Haas - van Alphen Effect under Rotation

“…where, q and M are the eigenvalue of the momentum and total angular momentum in the direction of the magnetic field with M = ±1/2, ±3/2, .... The equation ( 5) can be solved in terms of the generaliized Laguerre polynomial L µ n (z) and we end up with the normalized wave function [28],…”