Geometry effects in topologically confined bilayer graphene loops

We investigate the electronic confinement in bilayer graphene by topological loops of different shapes. These loops are created by lateral gates acting via gap inversion on the two graphene sheets. For large-area loops the spectrum is well described by a quantization rule depending only on the loop...

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Detalles Bibliográficos
Autores: Benchtaber, Nassima, Sánchez, David, Serra, Llorenç
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2021
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/271507
Acceso en línea:http://hdl.handle.net/10261/271507
Access Level:acceso abierto
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spelling Geometry effects in topologically confined bilayer graphene loopsBenchtaber, NassimaSánchez, DavidSerra, LlorençWe investigate the electronic confinement in bilayer graphene by topological loops of different shapes. These loops are created by lateral gates acting via gap inversion on the two graphene sheets. For large-area loops the spectrum is well described by a quantization rule depending only on the loop perimeter. For small sizes, the spectrum depends on the loop shape. We find that zero-energy states exhibit a characteristic pattern that strongly depends on the spatial symmetry. We show this by considering loops of higher to lower symmetry (circle, square, rectangle and irregular polygon). Interestingly, magnetic field causes valley splittings of the states, an asymmetry between energy reversal states, flux periodicities and the emergence of persistent currents.We acknowledge support from Grant No. PID2020-117347GB-I00 funded by MCIN/AEI/10.13039/501100011033, MINECO/AEI/FEDER María de Maeztu Program for Units of Excellence MDM2017-0711, and GOIB Grant No. PDR2020-12.NoarXivMinisterio de Ciencia e Innovación (España)Agencia Estatal de Investigación (España)European CommissionMinisterio de Economía y Competitividad (España)Govern de les Illes BalearsConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202220222021info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Preprintinfo:eu-repo/semantics/submittedVersionapplication/pdfhttp://hdl.handle.net/10261/271507reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-117347GB-I00info:eu-repo/grantAgreement/MICINN//MDM-2017-0711Benchtaber, Nassima; Sánchez, David; Serra, Llorenç. Geometry effects in topologically confined bilayer graphene loops. New Journal of Physics 24: 013001 (2022). http://dx.doi.org/10.1088/1367-2630/ac434d . http://hdl.handle.net/10261/271510https://doi.org/10.48550/arXiv.2110.05811Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2715072026-05-22T06:33:51Z
dc.title.none.fl_str_mv Geometry effects in topologically confined bilayer graphene loops
title Geometry effects in topologically confined bilayer graphene loops
spellingShingle Geometry effects in topologically confined bilayer graphene loops
Benchtaber, Nassima
title_short Geometry effects in topologically confined bilayer graphene loops
title_full Geometry effects in topologically confined bilayer graphene loops
title_fullStr Geometry effects in topologically confined bilayer graphene loops
title_full_unstemmed Geometry effects in topologically confined bilayer graphene loops
title_sort Geometry effects in topologically confined bilayer graphene loops
dc.creator.none.fl_str_mv Benchtaber, Nassima
Sánchez, David
Serra, Llorenç
author Benchtaber, Nassima
author_facet Benchtaber, Nassima
Sánchez, David
Serra, Llorenç
author_role author
author2 Sánchez, David
Serra, Llorenç
author2_role author
author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (España)
Agencia Estatal de Investigación (España)
European Commission
Ministerio de Economía y Competitividad (España)
Govern de les Illes Balears
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
description We investigate the electronic confinement in bilayer graphene by topological loops of different shapes. These loops are created by lateral gates acting via gap inversion on the two graphene sheets. For large-area loops the spectrum is well described by a quantization rule depending only on the loop perimeter. For small sizes, the spectrum depends on the loop shape. We find that zero-energy states exhibit a characteristic pattern that strongly depends on the spatial symmetry. We show this by considering loops of higher to lower symmetry (circle, square, rectangle and irregular polygon). Interestingly, magnetic field causes valley splittings of the states, an asymmetry between energy reversal states, flux periodicities and the emergence of persistent currents.
publishDate 2021
dc.date.none.fl_str_mv 2021
2022
2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Preprint
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/271507
url http://hdl.handle.net/10261/271507
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-117347GB-I00
info:eu-repo/grantAgreement/MICINN//MDM-2017-0711
Benchtaber, Nassima; Sánchez, David; Serra, Llorenç. Geometry effects in topologically confined bilayer graphene loops. New Journal of Physics 24: 013001 (2022). http://dx.doi.org/10.1088/1367-2630/ac434d . http://hdl.handle.net/10261/271510
https://doi.org/10.48550/arXiv.2110.05811

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