Electronic properties of curved graphene sheets

TL;DR

This paper introduces a model to analyze how slight curvature and defects in graphene sheets affect their electronic properties, revealing observable patterns in local density of states.

Contribution

It presents a novel cosmological analogy-based model for understanding electronic structure in curved graphene with various defects.

Findings

Curvature induces characteristic local density of states patterns.

Defects like pentagon-heptagon pairs influence electronic properties.

Observable effects can be detected via microscopy techniques.

Abstract

A model is proposed to study the electronic structure of slightly curved graphene sheets with an arbitrary number of pentagon-heptagon pairs and Stone-Wales defects based on a cosmological analogy. The disorder induced by curvature produces characteristic patterns in the local density of states that can be observed in scanning tunnel and transmission electron microscopy.