Magnetic moment of an electron gas on the surface of constant negative curvature

TL;DR

This paper studies how constant negative curvature surfaces affect the magnetic properties of an electron gas, revealing curvature-induced changes in magnetic response and oscillation behavior at different magnetic field strengths.

Contribution

It introduces the impact of surface curvature on magnetic moment behavior, highlighting the transition from monotonic to oscillating dependence and the breaking of oscillation periodicity.

Findings

Curvature extends the monotonic magnetic moment region at low fields.

High magnetic fields induce oscillating magnetic moment dependence.

Surface curvature breaks the periodicity of oscillations.

Abstract

The magnetic moment of an electron gas on the surface of constant negative curvature is investigated. It is shown that the surface curvature leads to the appearance of the region of the monotonic dependence $M(B)$ at low magnetic fields. At high magnetic fields, the dependence of the magnetic moment on a magnetic field is the oscillating one. The effect of the surface curvature is to increase the region of the monotonic dependence of the magnetic moment and to break the periodicity of oscillations of the magnetic moment as a function of an inverse magnetic field.