Diamagnetism of 2D-Fermions in the Strong Nonhomogeneous Static Magnetic Field $( {\bf B} =B( 0, 0, 1/cosh^{2}( \frac{x-x_{0} }{ \delta })))$ : gas magnetization, ... and gas compressibility

TL;DR

This paper investigates the diamagnetic properties of a fermion gas in a specific nonuniform magnetic field, analyzing magnetization, susceptibility, chemical potential, and compressibility, and comparing these with the uniform field case.

Contribution

It introduces a detailed analysis of fermion gas behavior in a nonhomogeneous magnetic field, providing new insights into magnetic response properties.

Findings

Gas magnetization varies with nonuniform field parameters.

Magnetic susceptibility differs from the uniform field case.

Chemical potential and compressibility are affected by field inhomogeneity.

Abstract

We study diamagnetism of a gas of fermions moving in a nonhomogeneous magnetic field $( {\bf B} =B( 0, 0, 1/cosh^{2}( \frac{x-x_{0} }{ \delta })))$ The gas magnetization, the static magnetic susceptibility, the chemical potential and the gas compressibility are discussed and compared with the uniform field case. General need to study dynamics of electrons in different types of magnetic fields follows from a large number of experimental situations in which its understanding enables physicists to obtain new information.