Competition of trivial and topological phases in patterned graphene based heterostructures

TL;DR

This paper investigates how mechanical strain influences the electronic phases of patterned graphene heterostructures, revealing that topological phases are robust against distortions while trivial phases are more sensitive.

Contribution

It introduces a low-energy Dirac Hamiltonian model that captures the competition between trivial and topological phases under strain in graphene heterostructures.

Findings

Topological gap remains resilient under strain.

Trivial gap is sensitive to mechanical distortions.

Model explains previous ab initio results effectively.

Abstract

We explore the effect of mechanical strain on the electronic spectrum of patterned graphene based heterostructures. We focus on the competition of Kekul\'e-O type distortion favoring a trivial phase and commensurate Kane-Mele type spin-orbit coupling generating a topological phase. We derive a simple low-energy Dirac Hamiltonian incorporating the two gap promoting mechanisms and include terms corresponding to uniaxial strain. The derived effective model explains previous ab initio results through a simple physical picture. We show that while the trivial gap is sensitive to mechanical distortions, the topological gap stays resilient.