Edge states of graphene bilayer strip

TL;DR

This paper analyzes the electronic structure and edge states of zig-zag bilayer graphene strips, revealing how their properties depend on width and showing a singular density of states at the Fermi level.

Contribution

It provides an analytical computation of the density of states and explores the dependence of edge state flatness on the bilayer width.

Findings

Edge state band flatness varies with bilayer width.

Density of states at Fermi level exhibits a width-dependent singularity.

Asymmetry exists in the density of states below and above the Fermi energy.

Abstract

The electronic structure of the zig-zag bilayer strip is analyzed. The electronic spectra of the bilayer strip is computed. The dependence of the edge state band flatness on the bilayer width is found. The density of states at the Fermi level is analytically computed. It is shown that it has the singularity which depends on the width of the bilayer strip. There is also asymmetry in the density of states below and above the Fermi energy.