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Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains

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arxiv 2408.04338 v2 pith:7PU6JM4N submitted 2024-08-08 math-ph cond-mat.dis-nnmath.MP

Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains

classification math-ph cond-mat.dis-nnmath.MP
keywords chainscitedisorderedinteractingquantumstronglyabsenceanomalous
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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