Please use this identifier to cite or link to this item: http://repositorio.ufla.br/jspui/handle/1/33088
Title: On the singular effects in the relativistic landau levels in graphene with a disclination
Keywords: Landau levels
Hall conductivity
Graphene
Elastic deformations
Níveis de landau
Condutividade de salão
Grafeno
Deformações elásticas
Issue Date: 1-Dec-2018
Publisher: IOP Publishing
Citation: NASCIMENTO, R. F. do et al. On the singular effects in the relativistic landau levels in graphene with a disclination. Chinese Physical Society, [S. l.], v. 70, n. 6, p. 817-822, 1 Dec. 2018.
Abstract: The effect of a pseudo Aharonov-Bohm (AB) magnetic field generated by a disclination on a two-dimensional electron gas in graphene is addressed in the continuum limit within the geometric approach. The influence of the coupling between the spinor fields and the singular conical curvature is investigated, which shows that singularities have pronounced impact in the Hall conductivity. Moreover, the degeneracy related to the Dirac valleys is broken for negative values of the angular momentum quantum numbers, ℓ, including ℓ ≡ 0. In this case, a Hall plateau develops at the null filling factor. Obtaining the Hall conductivity by summing over the positive and the negative ℓ ′ s, the null Landau level is recovered and the plateau at the null filling factor disappears. In any case, the standard plateaus, which are seen in a flat graphene are not obtained with these curvature and singular effects.
URI: https://iopscience.iop.org/article/10.1088/0253-6102/70/6/817
http://repositorio.ufla.br/jspui/handle/1/33088
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