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dc.contributor.authorPires, Wagner P.por
dc.contributor.authorSilva, Jeferson Danilo L.por
dc.contributor.authorBraga, Alessandra N.por
dc.contributor.authorAlves, Van Sérgiopor
dc.contributor.authorAlves, Danilo T.por
dc.contributor.authorMarino, E. C.por
dc.description.abstractRecently, in the literature, it was shown that the logarithmic renormalization of the Fermi velocity in a plane graphene sheet (which, in turn, is related to the Coulombian static potential associated to electrons in the sheet) is inhibited by the presence of a single parallel conducting plate. In the present paper, we investigate the situation of a suspended graphene sheet in a cavity formed by two conducting plates parallel to the sheet. The effect of a cavity on the interaction between electrons in the graphene is not merely the addition of the effects of each plate individually. From this, one can expect that the inhibition of the renormalization of the Fermi velocity generated by a cavity is not a mere addition of the inhibition induced by each single plate. In other words, the simple addition of the result for the inhibition of the renormalization of the Fermi velocity found in the literature for a single plate could not be used to predict the exact behavior of the inhibition for the graphene between two plates. Here, we show that, in fact, this is what happens and calculate how the presence of a cavity formed by two conducting plates parallel to the suspended graphene sheet amplifies, in a non-additive manner, the inhibition of the logarithmic renormalization of the Fermi velocity. In the limits of a single plate and no plates, our formulas recover those found in the literature.por
dc.description.sponsorshipThis work was partially supported by the following Brazilian Agencies: Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES), Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq), and Fundacao de Amparo a Pesquisa do Estado do Rio de Janeiro (FAPERJ). E. C. Marino was partially supported by CNPq and FAPERJ. D. T. Alves was partially supported by CAPES via Programa Estagio Senior no Exterior - Processo 88881.119705/2016-01, by CNPq via Processos 461826/2014-3 (Edital Universal) and 311920/2014-4 (Bolsa de Produtividade em Pesquisa), and also thanks Jaime Santos, Mikhail I. Vasilevskiy, Nuno M. R. Peres and Yuliy Bludov for useful discussions, as well as the hospitality of the Centro de Fisica, Universidade do Minho, Braga - Portugal. V. S. Alves acknowledges CNPq for support through Bolsa de Produtividade em Pesquisa n. 312654/2017-0. The authors also thank Ygor P. Silva for useful comments.por
dc.titleCavity effects on the Fermi velocity renormalization in a graphene sheetpor
dc.subject.fosCiências Naturais::Ciências Físicaspor
dc.subject.wosScience & Technologypor
sdum.journalNuclear Physics Bpor

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