Electron-phonon coupling and competing Kekulé orders in twisted bilayer graphene

Recent scanning tunneling microscopy experiments in twisted bilayer [K. P. Nuckolls et al., Nature (London) 620, 525 (2023)] and trilayer [H. Kim et al., Nature (London) 623, 942 (2023)] graphene have revealed the ubiquity of Kekulé charge-density wave order in magic-angle graphene. Most samples are...

Full description

Bibliographic Details
Main Authors: Kwan, YH, Wagner, G, Bultinck, N, Simon, SH, Berg, E, Parameswaran, SA
Format: Journal article
Language:English
Published: American Physical Society 2024
_version_ 1826314448370925568
author Kwan, YH
Wagner, G
Bultinck, N
Simon, SH
Berg, E
Parameswaran, SA
author_facet Kwan, YH
Wagner, G
Bultinck, N
Simon, SH
Berg, E
Parameswaran, SA
author_sort Kwan, YH
collection OXFORD
description Recent scanning tunneling microscopy experiments in twisted bilayer [K. P. Nuckolls et al., Nature (London) 620, 525 (2023)] and trilayer [H. Kim et al., Nature (London) 623, 942 (2023)] graphene have revealed the ubiquity of Kekulé charge-density wave order in magic-angle graphene. Most samples are moderately strained and show “incommensurate Kekulé spiral” (IKS) order involving a graphene-scale charge density distortion uniaxially modulated on the scale of the moiré superlattice, in accord with theoretical predictions. However, ultralow strain bilayer samples instead show graphene-scale Kekulé charge order that is uniform on the moiré scale. This order, especially prominent near filling factor 𝜈=−2, is unanticipated by theory which predicts a time-reversal breaking Kekulé current order at low strain. We show that including the coupling of moiré electrons to graphene-scale optical zone-corner (ZC) phonons stabilizes a uniform Kekulé charge ordered state at |𝜈|=2 with a quantized topological (spin or anomalous Hall) response. Our work clarifies how this phonon-driven selection of electronic order emerges in the strong-coupling regime of moiré graphene.
first_indexed 2024-09-25T04:34:11Z
format Journal article
id oxford-uuid:df01c58e-c581-4a3f-9492-f98deee23ce7
institution University of Oxford
language English
last_indexed 2024-09-25T04:34:11Z
publishDate 2024
publisher American Physical Society
record_format dspace
spelling oxford-uuid:df01c58e-c581-4a3f-9492-f98deee23ce72024-09-05T12:17:22ZElectron-phonon coupling and competing Kekulé orders in twisted bilayer grapheneJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:df01c58e-c581-4a3f-9492-f98deee23ce7EnglishSymplectic ElementsAmerican Physical Society2024Kwan, YHWagner, GBultinck, NSimon, SHBerg, EParameswaran, SARecent scanning tunneling microscopy experiments in twisted bilayer [K. P. Nuckolls et al., Nature (London) 620, 525 (2023)] and trilayer [H. Kim et al., Nature (London) 623, 942 (2023)] graphene have revealed the ubiquity of Kekulé charge-density wave order in magic-angle graphene. Most samples are moderately strained and show “incommensurate Kekulé spiral” (IKS) order involving a graphene-scale charge density distortion uniaxially modulated on the scale of the moiré superlattice, in accord with theoretical predictions. However, ultralow strain bilayer samples instead show graphene-scale Kekulé charge order that is uniform on the moiré scale. This order, especially prominent near filling factor 𝜈=−2, is unanticipated by theory which predicts a time-reversal breaking Kekulé current order at low strain. We show that including the coupling of moiré electrons to graphene-scale optical zone-corner (ZC) phonons stabilizes a uniform Kekulé charge ordered state at |𝜈|=2 with a quantized topological (spin or anomalous Hall) response. Our work clarifies how this phonon-driven selection of electronic order emerges in the strong-coupling regime of moiré graphene.
spellingShingle Kwan, YH
Wagner, G
Bultinck, N
Simon, SH
Berg, E
Parameswaran, SA
Electron-phonon coupling and competing Kekulé orders in twisted bilayer graphene
title Electron-phonon coupling and competing Kekulé orders in twisted bilayer graphene
title_full Electron-phonon coupling and competing Kekulé orders in twisted bilayer graphene
title_fullStr Electron-phonon coupling and competing Kekulé orders in twisted bilayer graphene
title_full_unstemmed Electron-phonon coupling and competing Kekulé orders in twisted bilayer graphene
title_short Electron-phonon coupling and competing Kekulé orders in twisted bilayer graphene
title_sort electron phonon coupling and competing kekule orders in twisted bilayer graphene
work_keys_str_mv AT kwanyh electronphononcouplingandcompetingkekuleordersintwistedbilayergraphene
AT wagnerg electronphononcouplingandcompetingkekuleordersintwistedbilayergraphene
AT bultinckn electronphononcouplingandcompetingkekuleordersintwistedbilayergraphene
AT simonsh electronphononcouplingandcompetingkekuleordersintwistedbilayergraphene
AT berge electronphononcouplingandcompetingkekuleordersintwistedbilayergraphene
AT parameswaransa electronphononcouplingandcompetingkekuleordersintwistedbilayergraphene