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Please use this identifier to cite or link to this item: http://repositorio.ufla.br/jspui/handle/1/13424

Title: Landau levels, self-adjoint extensions and Hall conductivity on a cone
???metadata.dc.creator???: Poux, A.
Araújo, L. R. S.
Filgueiras, C.
Moraes, F.
Keywords: Hall conductivity
Landau levels
Condutividade Hall
Níveis de Landau
Publisher: Springer
Issue Date: May-2014
Citation: POUX, A. et al. Landau levels, self-adjoint extensions and Hall conductivity on a cone. The European Physical Journal Plus, [S. l.], v. 129, n. 5, p. 1-10, May 2014.
Abstract: In this work we obtain the Landau levels and the Hall conductivity at zero temperature of a two-dimensional electron gas on a conical surface. We investigate the integer quantum Hall effect considering two different approaches. The first one is an extrinsic approach which employs an effective scalar potential that contains both the Gaussian and the mean curvature of the surface. The second one, an intrinsic approach where the Gaussian curvature is the sole term in the scalar curvature potential. From a theoretical point of view, the singular Gaussian curvature of the cone may affect the wave functions and the respective Landau levels. Since this problem requests {\it self-adjoint extensions}, we investigate how the conical tip could influence the integer quantum Hall effect, comparing with the case were the coupling between the wave functions and the conical tip is ignored. This last case corresponds to the so-called {\it Friedrichs extension}. In all cases, the Hall conductivity is enhanced by the conical geometry depending on the opening angle. There are a considerable number of theoretical papers concerned with the self-adjoint extensions on a cone and now we hope the work addressed here inspires experimental investigation on these questions about quantum dynamics on a cone.
URI: https://link.springer.com/article/10.1140/epjp/i2014-14100-9
???metadata.dc.language???: en_US
Appears in Collections:DFI - Artigos publicados em periódicos

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