Tuning the Fano factor of graphene via Fermi velocity modulation
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/jspui/handle/123456789/29507 |
Resumo: | In this work we investigate the influence of a Fermi velocity modulation on the Fano factor of periodic and quasi-periodic graphene superlattices. We consider the continuum model and use the transfer matrix method to solve the Dirac-like equation for graphene where the electrostatic potential, energy gap and Fermi velocity are piecewise constant functions of the position . We found that in the presence of an energy gap, it is possible to tune the energy of the Fano factor peak and consequently the location of the Dirac point, by a modulation in the Fermi velocity. Hence, the peak of the Fano factor can be used experimentally to identify the Dirac point. We show that for higher values of the Fermi velocity the Fano factor goes below 1/3 at the Dirac point. Furthermore, we show that in periodic superlattices the location of Fano factor peaks is symmetric when the Fermi velocity and is exchanged, however by introducing quasi-periodicity the symmetry is lost. The Fano factor usually holds a universal value for a specific transport regime, which reveals that the possibility of controlling it in graphene is a notable result |
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Lima, Jonas R. F.Barbosa, Anderson L. R.Bezerra, Claudionor GomesPereira, Luiz Felipe Cavalcanti2020-07-08T21:13:08Z2020-07-08T21:13:08Z2018-03LIMA, J. R.F. ; BARBOSA, A.L.R. ; BEZERRA, C.G. ; PEREIRA, L. F. C.. Tuning the Fano factor of graphene via Fermi velocity modulation. Physica E: Low-dimensional Systems and Nanostructures, v. 97, p. 105-110, 2018. Disponível em: https://www.sciencedirect.com/science/article/pii/S1386947717310652?via%3Dihub. Acesso em: 07 jul. 2020. https://doi.org/10.1016/j.physe.2017.10.0191386-9477https://repositorio.ufrn.br/jspui/handle/123456789/2950710.1016/j.physe.2017.10.019ElsevierAttribution 3.0 Brazilhttp://creativecommons.org/licenses/by/3.0/br/info:eu-repo/semantics/openAccessTransfer matrix methodContinuumTuning the Fano factor of graphene via Fermi velocity modulationinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleIn this work we investigate the influence of a Fermi velocity modulation on the Fano factor of periodic and quasi-periodic graphene superlattices. We consider the continuum model and use the transfer matrix method to solve the Dirac-like equation for graphene where the electrostatic potential, energy gap and Fermi velocity are piecewise constant functions of the position . We found that in the presence of an energy gap, it is possible to tune the energy of the Fano factor peak and consequently the location of the Dirac point, by a modulation in the Fermi velocity. Hence, the peak of the Fano factor can be used experimentally to identify the Dirac point. We show that for higher values of the Fermi velocity the Fano factor goes below 1/3 at the Dirac point. Furthermore, we show that in periodic superlattices the location of Fano factor peaks is symmetric when the Fermi velocity and is exchanged, however by introducing quasi-periodicity the symmetry is lost. The Fano factor usually holds a universal value for a specific transport regime, which reveals that the possibility of controlling it in graphene is a notable resultengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNORIGINALTuningFanoFactorGraphene_bezerra_2017.pdfTuningFanoFactorGraphene_bezerra_2017.pdfapplication/pdf1115239https://repositorio.ufrn.br/bitstream/123456789/29507/1/TuningFanoFactorGraphene_bezerra_2017.pdf95427c75c6e48736ebd3ae1c7f9b6d5dMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.ufrn.br/bitstream/123456789/29507/2/license_rdf4d2950bda3d176f570a9f8b328dfbbefMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/29507/3/license.txte9597aa2854d128fd968be5edc8a28d9MD53TEXTTuningFanoFactorGraphene_bezerra_2017.pdf.txtTuningFanoFactorGraphene_bezerra_2017.pdf.txtExtracted texttext/plain31373https://repositorio.ufrn.br/bitstream/123456789/29507/4/TuningFanoFactorGraphene_bezerra_2017.pdf.txt9183244f4114d4faa41ab5dce58559e4MD54THUMBNAILTuningFanoFactorGraphene_bezerra_2017.pdf.jpgTuningFanoFactorGraphene_bezerra_2017.pdf.jpgGenerated Thumbnailimage/jpeg1681https://repositorio.ufrn.br/bitstream/123456789/29507/5/TuningFanoFactorGraphene_bezerra_2017.pdf.jpg52f4552c6741a2d6d9a3e5df860a645aMD55123456789/295072020-07-12 04:49:34.06oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-07-12T07:49:34Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Tuning the Fano factor of graphene via Fermi velocity modulation |
title |
Tuning the Fano factor of graphene via Fermi velocity modulation |
spellingShingle |
Tuning the Fano factor of graphene via Fermi velocity modulation Lima, Jonas R. F. Transfer matrix method Continuum |
title_short |
Tuning the Fano factor of graphene via Fermi velocity modulation |
title_full |
Tuning the Fano factor of graphene via Fermi velocity modulation |
title_fullStr |
Tuning the Fano factor of graphene via Fermi velocity modulation |
title_full_unstemmed |
Tuning the Fano factor of graphene via Fermi velocity modulation |
title_sort |
Tuning the Fano factor of graphene via Fermi velocity modulation |
author |
Lima, Jonas R. F. |
author_facet |
Lima, Jonas R. F. Barbosa, Anderson L. R. Bezerra, Claudionor Gomes Pereira, Luiz Felipe Cavalcanti |
author_role |
author |
author2 |
Barbosa, Anderson L. R. Bezerra, Claudionor Gomes Pereira, Luiz Felipe Cavalcanti |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Lima, Jonas R. F. Barbosa, Anderson L. R. Bezerra, Claudionor Gomes Pereira, Luiz Felipe Cavalcanti |
dc.subject.por.fl_str_mv |
Transfer matrix method Continuum |
topic |
Transfer matrix method Continuum |
description |
In this work we investigate the influence of a Fermi velocity modulation on the Fano factor of periodic and quasi-periodic graphene superlattices. We consider the continuum model and use the transfer matrix method to solve the Dirac-like equation for graphene where the electrostatic potential, energy gap and Fermi velocity are piecewise constant functions of the position . We found that in the presence of an energy gap, it is possible to tune the energy of the Fano factor peak and consequently the location of the Dirac point, by a modulation in the Fermi velocity. Hence, the peak of the Fano factor can be used experimentally to identify the Dirac point. We show that for higher values of the Fermi velocity the Fano factor goes below 1/3 at the Dirac point. Furthermore, we show that in periodic superlattices the location of Fano factor peaks is symmetric when the Fermi velocity and is exchanged, however by introducing quasi-periodicity the symmetry is lost. The Fano factor usually holds a universal value for a specific transport regime, which reveals that the possibility of controlling it in graphene is a notable result |
publishDate |
2018 |
dc.date.issued.fl_str_mv |
2018-03 |
dc.date.accessioned.fl_str_mv |
2020-07-08T21:13:08Z |
dc.date.available.fl_str_mv |
2020-07-08T21:13:08Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
LIMA, J. R.F. ; BARBOSA, A.L.R. ; BEZERRA, C.G. ; PEREIRA, L. F. C.. Tuning the Fano factor of graphene via Fermi velocity modulation. Physica E: Low-dimensional Systems and Nanostructures, v. 97, p. 105-110, 2018. Disponível em: https://www.sciencedirect.com/science/article/pii/S1386947717310652?via%3Dihub. Acesso em: 07 jul. 2020. https://doi.org/10.1016/j.physe.2017.10.019 |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/jspui/handle/123456789/29507 |
dc.identifier.issn.none.fl_str_mv |
1386-9477 |
dc.identifier.doi.none.fl_str_mv |
10.1016/j.physe.2017.10.019 |
identifier_str_mv |
LIMA, J. R.F. ; BARBOSA, A.L.R. ; BEZERRA, C.G. ; PEREIRA, L. F. C.. Tuning the Fano factor of graphene via Fermi velocity modulation. Physica E: Low-dimensional Systems and Nanostructures, v. 97, p. 105-110, 2018. Disponível em: https://www.sciencedirect.com/science/article/pii/S1386947717310652?via%3Dihub. Acesso em: 07 jul. 2020. https://doi.org/10.1016/j.physe.2017.10.019 1386-9477 10.1016/j.physe.2017.10.019 |
url |
https://repositorio.ufrn.br/jspui/handle/123456789/29507 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRN instname:Universidade Federal do Rio Grande do Norte (UFRN) instacron:UFRN |
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Universidade Federal do Rio Grande do Norte (UFRN) |
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UFRN |
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UFRN |
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Repositório Institucional da UFRN |
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Repositório Institucional da UFRN |
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