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General continuum model for twisted bilayer graphene and arbitrary smooth deformations

by Leon Balents

Submission summary

As Contributors: Leon Balents
Arxiv Link: https://arxiv.org/abs/1909.01545v1
Date submitted: 2019-09-05
Submitted by: Balents, Leon
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Condensed Matter Physics - Theory

Abstract

We present a simple derivation of a continuum Hamiltonian for bilayer graphene with an arbitrary smooth lattice deformation -- technically in a fashion parametrized by displacement fields with small gradients. We show that this subsumes the continuum model of Bistritzer and Macdonald for twisted bilayer grapheneas well as many generalizations and extensions of it. The derivation is carried out entirely in real space.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1909.01545v1 on 5 September 2019

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