Thermal Transport in One-Dimensional Electronic Fluids

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 cons...

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Bibliographic Details
Published in:Physical review letters 2019-05, Vol.122 (20), p.206801-206801, Article 206801
Main Authors: Samanta, R, Protopopov, I V, Mirlin, A D, Gutman, D B
Format: Article
Language:English
Subjects:
Bosons
Dependence
Heat conductivity
Heat transfer
Hilbert space
Thermal conductivity
Transport
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Summary: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 L^{1/3}, of heat conductivity with the frequency ω and system size L, respectively.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.122.206801