title: Sinai Diffusion at Quasi-1D Topological Phase Transitions.
abstract: We consider critical quantum transport in disordered topological quantum wires at the transition between phases with different topological indices. 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.
authors.affiliation: Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, 50937 Köln, Germany.
authors.forename: Dmitry
authors.initials: D
authors.lastname: Bagrets
authors.affiliation: Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, 50937 Köln, Germany.
authors.forename: Alexander
authors.initials: A
authors.lastname: Altland
authors.affiliation: W.I. Fine Theoretical Physics Institute and School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA.
authors.forename: Alex
authors.initials: A
authors.lastname: Kamenev