Effects of quantum deformation on the integer quantum Hall effect

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorAndrade, Fabiano M.-
Autor(es): dc.creatorSilva, Edilberto O.-
Autor(es): dc.creatorAssafrão, Denise-
Autor(es): dc.creatorFilgueiras, Cleverson-
Data de aceite: dc.date.accessioned2026-02-09T12:35:13Z-
Data de disponibilização: dc.date.available2026-02-09T12:35:13Z-
Data de envio: dc.date.issued2018-07-13-
Data de envio: dc.date.issued2018-07-13-
Data de envio: dc.date.issued2016-12-
Fonte completa do material: dc.identifierhttps://repositorio.ufla.br/handle/1/29615-
Fonte completa do material: dc.identifierhttps://arxiv.org/abs/1603.08859-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1164280-
Descrição: dc.descriptionIn this work an application of the κ--deformed algebra in condensed matter physics is presented. Starting by the κ--deformed Dirac equation we study the relativistic generalization of the κ--deformed Landau levels as well as the consequences of the deformation on the Hall conductivity. By comparing the κ--deformed Landau levels in the nonrelativistic regime with the energy levels of a two-dimensional electron gas (2DEG) in the presence of a normal magnetic field, upper bounds for the deformation parameter in different materials are established. An expression for the κ--deformed Hall conductivity of a 2DEG is obtained as well. The expression recovers the well-known result for the usual Hall conductivity in the limit ε=κ−1→0. The deformation parameter breaks the Landau levels degeneracy and due to this, it is observed that deformation gives rise to new plateaus of conductivity in a such way that the plateaus widths of the κ--deformed Hall conductivity are less than the usual one. By studying the temperature dependence of the κ--deformed Hall conductivity, we show that an increase of the temperature causes the smearing of the plateaus and a diminution of the effect of the deformation, whilst an increase in the magnetic field enhances the effect of the deformation.-
Idioma: dc.languageen-
Publicador: dc.publisherCornell University-
Direitos: dc.rightsrestrictAccess-
???dc.source???: dc.sourceHigh Energy Physics-
Palavras-chave: dc.subjectQuantum deformation-
Palavras-chave: dc.subjectHall effect-
Palavras-chave: dc.subjectDeformação quântica-
Palavras-chave: dc.subjectEfeito Hall-
Título: dc.titleEffects of quantum deformation on the integer quantum Hall effect-
Tipo de arquivo: dc.typeArtigo-
Aparece nas coleções:Repositório Institucional da Universidade Federal de Lavras (RIUFLA)

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