Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains
Mathematical Physics
2025-07-22 v2 Disordered Systems and Neural Networks
math.MP
Abstract
We prove that in strongly disordered, interacting, quantum chains, the conductance of a chain of length vanishes faster than . This means that transport is anomalous in such chains. This phenomenon was first claimed in \cite{Basko2006,gornyi2005interacting} and a pioneering treatment appeared in \cite{Imbrie2016a}
Keywords
Cite
@article{arxiv.2408.04338,
title = {Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains},
author = {Wojciech De Roeck and Lydia Giacomin and Francois Huveneers and Oskar Prosniak},
journal= {arXiv preprint arXiv:2408.04338},
year = {2025}
}
Comments
88 pages, 6 figures, v1 ---> v2, The second part of the manuscript (starting from the current section 12) has been substantially rewritten and simplified to improve readability and a few inconsequential errors have been corrected