Tuning the Fano factor of graphene via Fermi velocity modulation

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, energ...

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Principais autores:	Lima, Jonas R. F., Barbosa, Anderson L. R., Bezerra, Claudionor Gomes, Pereira, Luiz Felipe Cavalcanti
Formato:	article
Idioma:	English
Publicado em:	Elsevier
Assuntos:	Transfer matrix method Continuum
Endereço do item:	https://repositorio.ufrn.br/jspui/handle/123456789/29507
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spelling	ri-123456789-295072020-07-12T07:49:34Z Tuning the Fano factor of graphene via Fermi velocity modulation Lima, Jonas R. F. Barbosa, Anderson L. R. Bezerra, Claudionor Gomes Pereira, Luiz Felipe Cavalcanti Transfer matrix method Continuum 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 2020-07-08T21:13:08Z 2020-07-08T21:13:08Z 2018-03 article 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 https://repositorio.ufrn.br/jspui/handle/123456789/29507 10.1016/j.physe.2017.10.019 en Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ application/pdf Elsevier
institution	Repositório Institucional
collection	RI - UFRN
language	English
topic	Transfer matrix method Continuum
spellingShingle	Transfer matrix method Continuum Lima, Jonas R. F. Barbosa, Anderson L. R. Bezerra, Claudionor Gomes Pereira, Luiz Felipe Cavalcanti Tuning the Fano factor of graphene via Fermi velocity modulation
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
format	article
author	Lima, Jonas R. F. Barbosa, Anderson L. R. Bezerra, Claudionor Gomes Pereira, Luiz Felipe Cavalcanti
author_facet	Lima, Jonas R. F. Barbosa, Anderson L. R. Bezerra, Claudionor Gomes Pereira, Luiz Felipe Cavalcanti
author_sort	Lima, Jonas R. F.
title	Tuning the Fano factor of graphene via Fermi velocity modulation
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
publisher	Elsevier
publishDate	2020
url	https://repositorio.ufrn.br/jspui/handle/123456789/29507
work_keys_str_mv	AT limajonasrf tuningthefanofactorofgrapheneviafermivelocitymodulation AT barbosaandersonlr tuningthefanofactorofgrapheneviafermivelocitymodulation AT bezerraclaudionorgomes tuningthefanofactorofgrapheneviafermivelocitymodulation AT pereiraluizfelipecavalcanti tuningthefanofactorofgrapheneviafermivelocitymodulation
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Tuning the Fano factor of graphene via Fermi velocity modulation

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