Space dependent Fermi velocity in strained graphene

TL;DR

This paper clarifies discrepancies between models of curved graphene, showing that strain induces a spatially varying Fermi velocity which impacts experimental interpretation.

Contribution

It demonstrates that strained or corrugated graphene exhibits a space-dependent Fermi velocity in both tight binding and quantum field theory models.

Findings

Strained graphene has a position-dependent Fermi velocity.

The models reconcile discrepancies in curved graphene descriptions.

Implications for experimental data interpretation.

Abstract

We resolve some apparent discrepancies between two different models for curved graphene: the one based on tight binding and elasticity theory, and the covariant approach based on quantum field theory in curved space. We demonstrate that strained or corrugated samples will have a space dependent Fermi velocity in either approach that can affect the interpretation of some experiments.