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Title: General continuum model for twisted bilayer graphene and arbitrary smooth deformations

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 graphene as well as many generalizations and extensions of it. The derivation is carried out entirely in real space.

Authors:
 [1]
  1. Canadian Institute for Advanced Research, Kavli Institute for Theoretical Physics
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1570016
Grant/Contract Number:  
FG02-08ER46524
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
Journal Name: SciPost Physics Proceedings Journal Volume: 7 Journal Issue: 4; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English

Citation Formats

Balents, Leon. General continuum model for twisted bilayer graphene and arbitrary smooth deformations. Netherlands: N. p., 2019. Web. doi:10.21468/SciPostPhys.7.4.048.
Balents, Leon. General continuum model for twisted bilayer graphene and arbitrary smooth deformations. Netherlands. doi:10.21468/SciPostPhys.7.4.048.
Balents, Leon. Thu . "General continuum model for twisted bilayer graphene and arbitrary smooth deformations". Netherlands. doi:10.21468/SciPostPhys.7.4.048.
@article{osti_1570016,
title = {General continuum model for twisted bilayer graphene and arbitrary smooth deformations},
author = {Balents, Leon},
abstractNote = {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 graphene as well as many generalizations and extensions of it. The derivation is carried out entirely in real space.},
doi = {10.21468/SciPostPhys.7.4.048},
journal = {SciPost Physics Proceedings},
number = 4,
volume = 7,
place = {Netherlands},
year = {2019},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.21468/SciPostPhys.7.4.048

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Works referenced in this record:

The electronic properties of graphene
journal, January 2009

  • Castro Neto, A. H.; Guinea, F.; Peres, N. M. R.
  • Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162
  • DOI: 10.1103/RevModPhys.81.109