Thermal Transport in One Dimensional Electronic Fluid

Abstract

We study thermal conductivity for one-dimensional electronic fluid. The many-body Hilbert space is partitioned into bosonic and fermionic sectors that carry the thermal current in parallel. For times shorter than bosonic Umklapp time, the momentum of Bose and Fermi components are separately conserved, giving rise to the ballistic heat propagation and imaginary heat conductivity proportional to $T/i\omega$. 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 L{é}vy flights of low-momentum bosons that lead to a fractional scaling, ${\omega }^{-\frac{1}{3}}$ and $L^{1/3}$, of heat conductivity with the frequency $\omega$ and system size $L$ respectively.

arXiv comment14 pages (including Appendix), 4 figures, v2: references added, typos corrected

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• High-temperature spin dynamics in the Heisenberg chain: Magnon propagation and emerging KPZ-scaling in the zero-magnetization limit
• Breakdown of Diffusion on the Edge
• Superdiffusive transport of energy in one-dimensional metals
• Entropy production in one-dimensional quantum fluids
• Anomalous Hydrodynamics in One Dimensional Electronic Fluid
• Thermal conductivity of a weakly interacting Bose gas in quasi-one-dimension
• Equilibration of Quasi-One-Dimensional Fermi Gases
• Viscous Properties of a Degenerate One-Dimensional Fermi Gas
• Relaxation of the degenerate one-dimensional Fermi gas
• Plasmon localization and relaxation, and thermal transport in one-dimensional conductors
• Kinetic processes in Fermi-Luttinger liquids