Majorana zero modes in graphene with trigonal warping

TL;DR

This paper investigates how trigonal warping in graphene leads to zero energy Majorana fermions, with localized wavefunctions, and discusses potential experimental implications.

Contribution

It reveals the emergence of Majorana zero modes in warped graphene and analyzes their properties based on a modified Dirac equation.

Findings

Zero energy solutions are Majorana fermions.

Wavefunctions are spatially localized.

Experimental consequences are discussed.

Abstract

We study the low energy properties of warped monolayer graphene, where the symmetry of the original honeycomb lattice reveals itself. The zero energy solutions are Majorana fermions, whose wavefunction, originating from the corresponding modified Dirac equation is spatially localized. Experimental consequences are discussed.