Density of states in a two-dimensional chiral metal with vacancies

Abstract

We study quantum interference effects in a two-dimensional chiral metal (bipartite lattice) with vacancies. We demonstrate that randomly distributed vacancies constitute a peculiar type of chiral disorder leading to strong modifications of critical properties at zero energy as compared to conventional chiral metals. In particular, the average density of states diverges as $\rho \propto E^{-1}|\ln E{|}^{-3/2}$ and the correlation length $L_c\propto \sqrt{|\ln E|}$ in the limit $E\to 0$. When the average density of vacancies is different in the two sublattices, a finite concentration of zero modes emerges and a gap in the quasiclassical density of states opens around zero energy. Interference effects smear this gap resulting in exponentially small tails at low energies.

arXiv comment5 pages, 2 figures; updated reference to arXiv:1404.6138

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