Theory of integer quantum Hall effect in graphene

TL;DR

This paper presents a theoretical explanation for the integer quantum Hall effect in graphene, linking the quantization to electron spin or density modulations caused by Coulomb interactions, with specific predictions for magnetic field effects.

Contribution

It introduces a new theoretical framework connecting Coulomb interactions to spatial modulations responsible for quantum Hall quantization in graphene.

Findings

Quantization linked to spin or density modulations

Predicted ordering at filling factor |f|=1 with large in-plane magnetic field

Outlines experimental consequences of the theory

Abstract

The observed quantization of the Hall conductivity in graphene at high magnetic fields is explained as being due to the dynamically generated spatial modulation of either the electron spin or the density, as decided by the details of Coulomb interaction on the scale of lattice constant. It is predicted that at a large in-plane component of the magnetic field such ordering will be present only at the filling factor |f|=1, and absent otherwise. Other experimental consequences of the theory are outlined.