Neutral Magic‐Angle Bilayer Graphene: Condon Instability and Chiral Resonances

The full optical response of twisted bilayer graphene at the neutrality point close to the magic angle within the continuum model (CM) is discussed. First, three different channels consistent with the underlying D 3 symmetry are identified, yielding the total, magnetic, and chiral response. Second,...

Full description

Bibliographic Details
Main Authors: Tobias Stauber, Martin Wackerl, Paul Wenk, Dionisios Margetis, José González, Guillermo Gómez-Santos, John Schliemann
Format: Article
Language:English
Published: Wiley-VCH 2023-06-01
Series:Small Science
Subjects:
Online Access:https://doi.org/10.1002/smsc.202200080
_version_ 1797799325067116544
author Tobias Stauber
Martin Wackerl
Paul Wenk
Dionisios Margetis
José González
Guillermo Gómez-Santos
John Schliemann
author_facet Tobias Stauber
Martin Wackerl
Paul Wenk
Dionisios Margetis
José González
Guillermo Gómez-Santos
John Schliemann
author_sort Tobias Stauber
collection DOAJ
description The full optical response of twisted bilayer graphene at the neutrality point close to the magic angle within the continuum model (CM) is discussed. First, three different channels consistent with the underlying D 3 symmetry are identified, yielding the total, magnetic, and chiral response. Second, the full optical response in the immediate vicinity of the magic angle θ m is numerically calculated, which provides a direct mapping of the CM onto an effective two‐band model. It is, further, shown that the ground state of the CM in the immediate vicinity of θ m is unstable toward transverse current fluctuations, a so‐called Condon instability. Third, due to the large counterflow, the acoustic plasmonic excitations with typical wave numbers have larger energies than the optical ones and their energy density may be largely enhanced at certain frequencies which are denominated as chiral resonances. Finally, symmetry relations for the optical response and their consequences for the chiral response are discussed.
first_indexed 2024-03-13T04:17:07Z
format Article
id doaj.art-d3d8456b838545f6adf93d582bcbd110
institution Directory Open Access Journal
issn 2688-4046
language English
last_indexed 2024-03-13T04:17:07Z
publishDate 2023-06-01
publisher Wiley-VCH
record_format Article
series Small Science
spelling doaj.art-d3d8456b838545f6adf93d582bcbd1102023-06-21T00:42:44ZengWiley-VCHSmall Science2688-40462023-06-0136n/an/a10.1002/smsc.202200080Neutral Magic‐Angle Bilayer Graphene: Condon Instability and Chiral ResonancesTobias Stauber0Martin Wackerl1Paul Wenk2Dionisios Margetis3José González4Guillermo Gómez-Santos5John Schliemann6Instituto de Ciencia de Materiales de Madrid, CSIC E-28049 Madrid SpainInstitut für Theoretische Physik Universität Regensburg 93053 Regensburg GermanyInstitut für Theoretische Physik Universität Regensburg 93053 Regensburg GermanyInstitute for Physical Science and Technology Department of Mathematics Center for Scientific Computation and Mathematical Modeling University of Maryland College Park MD 20742 USAInstituto de Estructura de la Materia, CSIC E-28006 Madrid SpainDepartamento de Física de la Materia Condensada Instituto Nicolás Cabrera and Condensed Matter Physics Center (IFIMAC) Universidad Autónoma de Madrid E-28049 Madrid SpainInstitut für Theoretische Physik Universität Regensburg 93053 Regensburg GermanyThe full optical response of twisted bilayer graphene at the neutrality point close to the magic angle within the continuum model (CM) is discussed. First, three different channels consistent with the underlying D 3 symmetry are identified, yielding the total, magnetic, and chiral response. Second, the full optical response in the immediate vicinity of the magic angle θ m is numerically calculated, which provides a direct mapping of the CM onto an effective two‐band model. It is, further, shown that the ground state of the CM in the immediate vicinity of θ m is unstable toward transverse current fluctuations, a so‐called Condon instability. Third, due to the large counterflow, the acoustic plasmonic excitations with typical wave numbers have larger energies than the optical ones and their energy density may be largely enhanced at certain frequencies which are denominated as chiral resonances. Finally, symmetry relations for the optical response and their consequences for the chiral response are discussed.https://doi.org/10.1002/smsc.202200080chiral responseoptical absorptionplasmonstwisted bilayer graphene
spellingShingle Tobias Stauber
Martin Wackerl
Paul Wenk
Dionisios Margetis
José González
Guillermo Gómez-Santos
John Schliemann
Neutral Magic‐Angle Bilayer Graphene: Condon Instability and Chiral Resonances
Small Science
chiral response
optical absorption
plasmons
twisted bilayer graphene
title Neutral Magic‐Angle Bilayer Graphene: Condon Instability and Chiral Resonances
title_full Neutral Magic‐Angle Bilayer Graphene: Condon Instability and Chiral Resonances
title_fullStr Neutral Magic‐Angle Bilayer Graphene: Condon Instability and Chiral Resonances
title_full_unstemmed Neutral Magic‐Angle Bilayer Graphene: Condon Instability and Chiral Resonances
title_short Neutral Magic‐Angle Bilayer Graphene: Condon Instability and Chiral Resonances
title_sort neutral magic angle bilayer graphene condon instability and chiral resonances
topic chiral response
optical absorption
plasmons
twisted bilayer graphene
url https://doi.org/10.1002/smsc.202200080
work_keys_str_mv AT tobiasstauber neutralmagicanglebilayergraphenecondoninstabilityandchiralresonances
AT martinwackerl neutralmagicanglebilayergraphenecondoninstabilityandchiralresonances
AT paulwenk neutralmagicanglebilayergraphenecondoninstabilityandchiralresonances
AT dionisiosmargetis neutralmagicanglebilayergraphenecondoninstabilityandchiralresonances
AT josegonzalez neutralmagicanglebilayergraphenecondoninstabilityandchiralresonances
AT guillermogomezsantos neutralmagicanglebilayergraphenecondoninstabilityandchiralresonances
AT johnschliemann neutralmagicanglebilayergraphenecondoninstabilityandchiralresonances