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metadata.artigo.dc.title: Effects of quantum deformation on the integer quantum Hall effect
metadata.artigo.dc.creator: Andrade, Fabiano M.
Silva, Edilberto O.
Assafrão, Denise
Filgueiras, Cleverson
metadata.artigo.dc.subject: Quantum deformation
Hall effect
Deformação quântica
Efeito Hall
metadata.artigo.dc.publisher: Cornell University Dec-2016
metadata.artigo.dc.identifier.citation: ANDRADE, F. M. et al. Effects of quantum deformation on the integer quantum Hall effect. High Energy Physics, [S. l.], p. 1-6, Dec. 2016. doi: 10.1209/0295-5075/116/31002.
metadata.artigo.dc.description.abstract: In 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.
metadata.artigo.dc.language: en_US
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