Diverging dc conductivity due to a flat band in disordered pseudospin-1 Dirac-Weyl fermions
Abstract
Several lattices, such as the dice or the Lieb lattice, possess Dirac cones and a flat band crossing the Dirac point, whose effective model is the pseudospin-1 Dirac-Weyl equation. We investigate the fate of the flat band in the presence of disorder by focusing on the density of states (DOS) and dc conductivity. While the central hub-site does not reveal the presence of the flat band, the sublattice resolved DOS on the non-central sites exhibits a narrow peak with height ~ 1/\sqrt{g} with g the dimensionless disorder variance. Although the group velocity is zero on the flat band, the dc conductivity diverges as ln(1/g) with decreasing disorder due to interband transitions around the band touching point between the propagating and the flat band. Generalizations to higher pseudospin are given.
Keywords
Cite
@article{arxiv.1305.6140,
title = {Diverging dc conductivity due to a flat band in disordered pseudospin-1 Dirac-Weyl fermions},
author = {Máté Vigh and László Oroszlány and Szabolcs Vajna and Pablo San-Jose and Gyula Dávid and József Cserti and Balázs Dóra},
journal= {arXiv preprint arXiv:1305.6140},
year = {2013}
}
Comments
5 pages, 5 figures