Effect of Minimal Length on Landau Diamagnetism and de Haas-van Alphen Effect

TL;DR

This paper investigates how a minimal length scale, inspired by quantum gravity, modifies Landau diamagnetism and the de Haas-van Alphen effect, revealing temperature-independent corrections and low-temperature behavior changes.

Contribution

It introduces a GUP-based correction to magnetization and susceptibility, providing new insights into quantum gravity effects on diamagnetic phenomena.

Findings

Curie's law gets a temperature-independent correction due to GUP

GUP affects the low-temperature behavior of the de Haas-van Alphen effect

Quantum gravity effects vanish when GUP corrections are neglected

Abstract

We study Landau diamagnetism in the framework of generalised uncertainty principle(GUP). We calculate the correction to magnetisation and susceptibility by constructing the grand partition function of diamagnetic material in this framework. We explicitly show that Curie's law gets a temperature independent correction which vanishes when quantum gravity effects are neglected. We further consider the low temperature limit to find how GUP affects the de Haas-van Alphen effect.