Some Aspects of Statistical Thermodynamics of a Magnetized Fermi Gas

TL;DR

This paper demonstrates that a magnetized Fermi gas retains its three-dimensional nature at the Landau ground state, contradicting previous claims that it becomes effectively one-dimensional due to pressure vanishing perpendicular to the magnetic field.

Contribution

The study clarifies the dimensional behavior of a Fermi gas under strong magnetic fields, showing it remains three-dimensional at the Landau ground state, contrary to earlier assumptions.

Findings

Fermi gas remains three-dimensional at the Landau ground state.

Perpendicular pressure does not vanish at the Landau ground state.

Contradicts previous claims of effective one-dimensionality.

Abstract

We show that at the Landau ground state a Fermi gas remains precisely a three-dimensional for an arbitrary magnetic field in radical contrast to the previous claims that the perpendicular component of the pressure of a Fermi gas vanishes at the Landau ground state and therefore, it becomes strictly a one-dimensional gas.