Mesoscopic transport signatures of disorder-induced non-Hermitian phases
Abstract
We investigate the impact on basic quantum transport properties of disorder-induced exceptional points (EPs) that emerge in a disorder-averaged Green's function description of two-dimensional (2D) Dirac semimetals with spin- or orbital-dependent potential scattering. Remarkably, we find that EPs may promote the nearly vanishing conductance of a finite sample at the Dirac point to a sizable value that increases with disorder strength. This striking behavior exhibits a strong directional anisotropy that is closely related to the Fermi arcs connecting the EPs. We corroborate our results by numerically exact simulations, thus revealing the fingerprints of characteristic non-Hermitian spectral features also on the localization properties of the considered systems. Finally, several candidates for the experimental verification of our theoretical analysis are discussed, including disordered electronic square-net materials and cold atoms in spin-dependent optical lattices.
Keywords
Cite
@article{arxiv.2201.05616,
title = {Mesoscopic transport signatures of disorder-induced non-Hermitian phases},
author = {Benjamin Michen and Jan Carl Budich},
journal= {arXiv preprint arXiv:2201.05616},
year = {2023}
}