Thermal Transport in One-Dimensional Electronic Fluids

R. Samanta, I. V. Protopopov, A. D. Mirlin, D. B. Gutman

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Abstract

We study thermal conductivity for one-dimensional electronic fluids. The many-body Hilbert space is partitioned into bosonic and fermionic sectors that carry the thermal current in parallel. For times shorter than the bosonic umklapp time, the momenta of Bose and Fermi components are separately conserved, giving rise to the ballistic heat propagation and imaginary heat conductivity proportional to T/iω. The real part of thermal conductivity is controlled by decay processes of fermionic and bosonic excitations, leading to several regimes in frequency dependence. At lowest frequencies or longest length scales, the thermal transport is dominated by Lévy flights of low-momentum bosons that lead to a fractional scaling, ω-1/3 and L1/3, of heat conductivity with the frequency ω and system size L, respectively.

Original languageEnglish
Article number206801
JournalPhysical Review Letters
Volume122
Issue number20
DOIs
StatePublished - 24 May 2019

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Publisher Copyright:
© 2019 American Physical Society.

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