Ground state magnetization of conduction electrons in graphene with Zeeman effect

TL;DR

This paper analytically investigates how the Zeeman effect influences the ground state magnetization of conduction electrons in graphene, revealing subtle spin-splitting effects and their dependence on carrier density.

Contribution

It provides the first analytical expressions for magnetization in graphene considering the Zeeman effect at zero temperature, highlighting the impact on de Haas van Alphen oscillations.

Findings

Zeeman effect introduces new small peaks in magnetization.

These peaks become more prominent at higher carrier densities.

Results offer insights for spin control in graphene-based devices.

Abstract

In this work we address the ground state magnetization in graphene, considering the Zeeman effect and taking into account the conduction electrons in the long wavelength approximation. We obtain analytical expressions for the magnetization at T=0 K, where the oscillations given by the de Haas van Alphen (dHvA) effect are present. We find that the Zeeman effect modifies the magnetization by introducing new peaks associated with the spin splitting of the Landau levels. These peaks are very small for typical carrier densities in graphene, but become more important for higher densities. The obtained results provide insight of the way in which the Zeeman effect modifies the magnetization, which can be useful to control and manipulate the spin degrees of freedom.