Emergence of bound states in ballistic magnetotransport of graphene antidots

TL;DR

This paper proposes an experimental approach to detect bound states around graphene antidots via ballistic conductance measurements, revealing resonances influenced by magnetic fields and introducing a more efficient numerical method.

Contribution

It introduces a novel experimental detection technique for bound states in graphene antidots and develops a computational method with linear scaling in system size.

Findings

Observation of Breit-Wigner like conductance resonances near bound state energies

Bound states are influenced by magnetic fields in graphene antidots

New numerical method reduces computational effort proportional to system size

Abstract

An experimental method for detection of bound states around an antidot formed from a hole in a graphene sheet is proposed by measuring the ballistic two terminal conductances. In particularly, we consider the effect of bound states formed by magnetic field on the two terminal conductance and show that one can observe Breit-Wigner like resonances in the conductance as a function of the Fermi level close to the energies of the bound states. In addition, we develop a new numerical method in which the computational effort is proportional to the linear dimensions, instead of the area of the scattering region beeing typical for the existing numerical recursive Green's function method.