Shift of Dirac points and strain induced pseudo-magnetic field in graphene

TL;DR

This paper explains how strain in graphene causes a pseudo-magnetic field through the movement of Dirac points, which are confined within specific regions of the Brillouin zone, offering a new perspective on strain effects.

Contribution

It introduces a novel explanation for strain-induced pseudo-magnetic fields in graphene based on Dirac point dynamics and their confinement within the Brillouin zone.

Findings

Pseudo-magnetic field explained by curl movement of Dirac points

Dirac points confined within two triangles in the Brillouin zone

Dirac points can be modeled as a slowly varying function of position

Abstract

We propose that the strain induced effective pseudo-magnetic field in graphene can also be explained by a curl movement of the Dirac points, if the Dirac points can be regarded as a slowly varying function of position. We also prove that the Dirac points must be confined within two triangles, each one has 1/8 the area of the Brillouin zone.