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Unusual magnetotransport in twisted bilayer graphene from strain-induced open Fermi surfaces

Anisotropic hopping in a toy Hofstadter model was recently invoked to explain a rich and surprising Landau spectrum measured in twisted bilayer graphene away from the magic angle. Suspecting that such anisotropy could arise from unintended uniaxial strain, we extend the Bistritzer–MacDonald model to...

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Autores principales: Wang, Xiaoyu, Finney, Joe, Sharpe, Aaron L., Rodenbach, Linsey K., Hsueh, Connie L., Watanabe, Kenji, Taniguchi, Takashi, Kastner, M. A., Vafek, Oskar, Goldhaber-Gordon, David
Formato: Online Artículo Texto
Lenguaje:English
Publicado: National Academy of Sciences 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10450440/
https://www.ncbi.nlm.nih.gov/pubmed/37579169
http://dx.doi.org/10.1073/pnas.2307151120
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author Wang, Xiaoyu
Finney, Joe
Sharpe, Aaron L.
Rodenbach, Linsey K.
Hsueh, Connie L.
Watanabe, Kenji
Taniguchi, Takashi
Kastner, M. A.
Vafek, Oskar
Goldhaber-Gordon, David
author_facet Wang, Xiaoyu
Finney, Joe
Sharpe, Aaron L.
Rodenbach, Linsey K.
Hsueh, Connie L.
Watanabe, Kenji
Taniguchi, Takashi
Kastner, M. A.
Vafek, Oskar
Goldhaber-Gordon, David
author_sort Wang, Xiaoyu
collection PubMed
description Anisotropic hopping in a toy Hofstadter model was recently invoked to explain a rich and surprising Landau spectrum measured in twisted bilayer graphene away from the magic angle. Suspecting that such anisotropy could arise from unintended uniaxial strain, we extend the Bistritzer–MacDonald model to include uniaxial heterostrain and present a detailed analysis of its impact on band structure and magnetotransport. We find that such strain strongly influences band structure, shifting the three otherwise-degenerate van Hove points to different energies. Coupled to a Boltzmann magnetotransport calculation, this reproduces previously unexplained nonsaturating [Formula: see text] magnetoresistance over broad ranges of density near filling [Formula: see text] and predicts subtler features that had not been noticed in the experimental data. In contrast to these distinctive signatures in longitudinal resistivity, the Hall coefficient is barely influenced by strain, to the extent that it still shows a single sign change on each side of the charge neutrality point—surprisingly, this sign change no longer occurs at a van Hove point. The theory also predicts a marked rotation of the electrical transport principal axes as a function of filling even for fixed strain and for rigid bands. More careful examination of interaction-induced nematic order versus strain effects in twisted bilayer graphene could thus be in order.
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spelling pubmed-104504402023-08-26 Unusual magnetotransport in twisted bilayer graphene from strain-induced open Fermi surfaces Wang, Xiaoyu Finney, Joe Sharpe, Aaron L. Rodenbach, Linsey K. Hsueh, Connie L. Watanabe, Kenji Taniguchi, Takashi Kastner, M. A. Vafek, Oskar Goldhaber-Gordon, David Proc Natl Acad Sci U S A Physical Sciences Anisotropic hopping in a toy Hofstadter model was recently invoked to explain a rich and surprising Landau spectrum measured in twisted bilayer graphene away from the magic angle. Suspecting that such anisotropy could arise from unintended uniaxial strain, we extend the Bistritzer–MacDonald model to include uniaxial heterostrain and present a detailed analysis of its impact on band structure and magnetotransport. We find that such strain strongly influences band structure, shifting the three otherwise-degenerate van Hove points to different energies. Coupled to a Boltzmann magnetotransport calculation, this reproduces previously unexplained nonsaturating [Formula: see text] magnetoresistance over broad ranges of density near filling [Formula: see text] and predicts subtler features that had not been noticed in the experimental data. In contrast to these distinctive signatures in longitudinal resistivity, the Hall coefficient is barely influenced by strain, to the extent that it still shows a single sign change on each side of the charge neutrality point—surprisingly, this sign change no longer occurs at a van Hove point. The theory also predicts a marked rotation of the electrical transport principal axes as a function of filling even for fixed strain and for rigid bands. More careful examination of interaction-induced nematic order versus strain effects in twisted bilayer graphene could thus be in order. National Academy of Sciences 2023-08-14 2023-08-22 /pmc/articles/PMC10450440/ /pubmed/37579169 http://dx.doi.org/10.1073/pnas.2307151120 Text en Copyright © 2023 the Author(s). Published by PNAS. https://creativecommons.org/licenses/by/4.0/This open access article is distributed under Creative Commons Attribution License 4.0 (CC BY) (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Physical Sciences
Wang, Xiaoyu
Finney, Joe
Sharpe, Aaron L.
Rodenbach, Linsey K.
Hsueh, Connie L.
Watanabe, Kenji
Taniguchi, Takashi
Kastner, M. A.
Vafek, Oskar
Goldhaber-Gordon, David
Unusual magnetotransport in twisted bilayer graphene from strain-induced open Fermi surfaces
title Unusual magnetotransport in twisted bilayer graphene from strain-induced open Fermi surfaces
title_full Unusual magnetotransport in twisted bilayer graphene from strain-induced open Fermi surfaces
title_fullStr Unusual magnetotransport in twisted bilayer graphene from strain-induced open Fermi surfaces
title_full_unstemmed Unusual magnetotransport in twisted bilayer graphene from strain-induced open Fermi surfaces
title_short Unusual magnetotransport in twisted bilayer graphene from strain-induced open Fermi surfaces
title_sort unusual magnetotransport in twisted bilayer graphene from strain-induced open fermi surfaces
topic Physical Sciences
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10450440/
https://www.ncbi.nlm.nih.gov/pubmed/37579169
http://dx.doi.org/10.1073/pnas.2307151120
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