We consider critical quantum transport in disordered topological quantum wires at the transition between phases with different topological indexes. Focusing on the example of thermal transport in class D (`Majorana') quantum wires, we identify a transport universality class distinguished for anomalous retardation in the propagation of excitations -- a quantum generalization of Sinai diffusion. We discuss the expected manifestations of this transport mechanism for heat propagation in topological superconductors near criticality and provide a microscopic theory explaining the phenomenon.
@article{arxiv.1605.01657,
title = {Sinai Diffusion at Quasi-1D Topological Phase Transitions},
author = {Dmitry Bagrets and Alexander Altland and Alex Kamenev},
journal= {arXiv preprint arXiv:1605.01657},
year = {2016}
}
Comments
5 pages, 3 figures + 2 pages of Supplemental Material