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Transport in high D-dimensional topological insulators models

ORAL

Abstract

We study the longitudinal conductivity $\sigma^{reg}_{xx}(\omega)$ in the neighboring of the phase transition of the topological charge in topological insulators models in (4+1)-D dimensions [1-4] employing the Kubo formalism of the linear response theory [5-6]. Thus we analyze the effect of topological phase transition of the sudden variation of the second Chern number $Q_2$ in higher dimensions on AC conductivity. In addition, we investigate the effect of the sudden variation of the second Chern number in von Neumann entropy [7-8].

References
[1] Rice, Phys. Rev. Lett 49, 1455 (1982).
[2] Qu-Wu-Zhang, Phys. Rev. B 74, 085308 (2006).
[3] B. Andrei Bernevig with Taylor L. Hughes, Topological Insulators and Topological Superconductors, Princeton University Press, Princeton, New Jersey, (2013).
[4] János K. Asbóth, László Oroszlány, András Pályi, A short Course on Topological Insulators, Springer, Heidelberg (2016).
[5] L. S. Lima, Physica E 113, 208 (2019).
[6] L. S. Lima, Phys. Lett. A 384, 126514 (2020).
[7] L. S. Lima, Physica A 545, 123800 (2020).
[8] L. S. Lima, International Journal of Modern Physics B 33, 1950284 (2019).

Presenters

  • Leonardo LIMA

    Centro federal de educacao tecnologica

Authors

  • Leonardo LIMA

    Centro federal de educacao tecnologica