Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains
Wojciech De Roeck (KU Leuven)
Abstract: We prove that in strongly disordered, interacting, quantum chains, the conductance of a chain of length L vanishes faster than 1/L. This means that transport is anomalous in such chains. This phenomenon was first claimed in 2005 in seminal work by Basko, Aleiner and Altshuler and a pioneering mathematical treatment was given by Imbrie in 2014. The proof largely relies on proving a stronger property for some rare intervals on the chain, whose location depends on the realization of disorder. This stronger property is called 'Many-Body Localization' and it is of independent interest. (joint work with Lydia Giacomin, Francois Huveneers, Oskar Prosniak)
mathematical physics
Audience: researchers in the discipline
One world IAMP mathematical physics seminar
Series comments: In order to receive announcements, please send an email to IAMPseminars@gmail.com with “subscribe” in the subject line.
| Organizers: | Margherita Disertori*, Wojciech Dybalski*, Ian Jauslin, Hal Tasaki* |
| *contact for this listing |