Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains

Wojciech De Roeck; Lydia Giacomin; Francois Huveneers; Oskar Prosniak

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arXiv · 2408.04338

Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains

Wojciech De Roeck·Lydia Giacomin·Francois Huveneers·Oskar Prosniak

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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 \cite{Basko2006,gornyi2005interacting} and a pioneering treatment appeared in \cite{Imbrie2016a}

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Wojciech De Roeck, Lydia Giacomin, Francois Huveneers, Oskar Prosniak. 2025-07-18. Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains. https://arxiv.org/abs/2408.04338

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