Sinai Diffusion at Quasi-1D Topological Phase Transitions

Dmitry Bagrets, Alexander Altland, Alex Kamenev

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11 Scopus citations

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.

Original languageEnglish (US)
Article number196801
JournalPhysical review letters
Volume117
Issue number19
DOIs
StatePublished - Nov 1 2016

Bibliographical note

Funding Information:
The research of A.K. was supported by National Science Foundation Grant No. DMR1306734.

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