Magnetization in pristine graphene with Zeeman splitting and variable spin-orbit coupling

TL;DR

This paper investigates how Zeeman splitting and variable Rashba spin-orbit coupling influence the spin magnetization in pristine graphene, revealing tunable magnetic oscillations and potential for spintronic device applications.

Contribution

It introduces a detailed analysis of spin magnetization in graphene considering both Zeeman and Rashba effects, highlighting how external fields control magnetic properties.

Findings

Magnetization depends critically on Rashba spin-orbit coupling controlled by external electric fields.

Landau levels for spin-up and spin-down states can mix, causing jumps in magnetization.

Two tunable magnetic oscillation phases are identified, useful for spintronic device design.

Abstract

The aim of this work is to describe the spin magnetization of graphene with Rashba spinorbit coupling and Zeeman effect. It is shown that the magnetization depends critically on the spin-orbit coupling l that is controlled with an external electric field. In turn, by manipulating the density of charge carriers, it is shown that spin up and down Landau levels mix introducing jumps in the spin magnetization. Two magnetic oscillations phases are described that can be tunable through the applied external fields. The maximum and minimum of the oscillations can be alternated by taking into account how the energy levels are filled when the Rashba-spin-orbit coupling is turned on. The results obtained are of importance to design superlattices with variable spin-orbit coupling with different configurations in which spin oscillations and spin filters can be developed.