Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains

Fuente: arXiv
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Autori principali: De Roeck, Wojciech, Giacomin, Lydia, Huveneers, Francois, Prosniak, Oskar
Natura: Preprint
Pubblicazione: 2024
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author De Roeck, Wojciech
Giacomin, Lydia
Huveneers, Francois
Prosniak, Oskar
author_facet De Roeck, Wojciech
Giacomin, Lydia
Huveneers, Francois
Prosniak, Oskar
contents 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 \cite{Basko2006,gornyi2005interacting} and a pioneering treatment appeared in \cite{Imbrie2016a}
format Preprint
id arxiv_https___arxiv_org_abs_2408_04338
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains
De Roeck, Wojciech
Giacomin, Lydia
Huveneers, Francois
Prosniak, Oskar
Mathematical Physics
Disordered Systems and Neural Networks
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 \cite{Basko2006,gornyi2005interacting} and a pioneering treatment appeared in \cite{Imbrie2016a}
title Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains
topic Mathematical Physics
Disordered Systems and Neural Networks
url https://arxiv.org/abs/2408.04338