Interaction effects on thermal transport in quantum wires

Abstract

We develop a theory of thermal transport of weakly interacting electrons in quantum wires. Unlike higher-dimensional systems, a one-dimensional electron gas requires three-particle collisions for energy relaxation. The fastest relaxation is provided by the intrabranch scattering of comoving electrons which establishes a partially equilibrated form of the distribution function. The thermal conductance is governed by the slower interbranch processes which enable energy exchange between counterpropagating particles. We derive an analytic expression for the thermal conductance of interacting electrons valid for arbitrary relation between the wire length and electron thermalization length. We find that in sufficiently long wires the interaction-induced correction to the thermal conductance saturates to an interaction-independent value.

14 pages, 4 figures

References in corpus (5)

• Three-particle collisions in quantum wires: Corrections to thermopower and conductance
• Non-equilibrium Luttinger liquid: Zero-bias anomaly and dephasing
• Energy relaxation and thermalization of hot electrons in quantum wires
• Conductance of fully equilibrated quantum wires
• Equilibration of a one-dimensional Wigner crystal

Cited by in corpus (15)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
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• Diffractive scattering of three particles in one dimension: a simple result for weak violations of the Yang--Baxter equation
• Steady-state properties of a thermodynamically unbalanced Fermi gas
• Viscous Dissipation in One-Dimensional Quantum Liquids
• Thermal transport and quench relaxation in nonlinear Luttinger liquids
• Nonlinear conductance of long quantum wires at a conductance plateau transition: Where does the voltage drop?
• Entropy production in one-dimensional quantum fluids
• Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal
• Plasmon decay and thermal transport from spin-charge coupling in generic Luttinger liquids
• Kinetic processes in Fermi-Luttinger liquids
• One-dimensional interacting electrons beyond the Dzyaloshinskii-Larkin theorem
• Dissipative Hot-spot Enabled Shock and Bounce Dynamics via Terahertz Quantum Quenches in Helical Edge States
• Brownian scattering of a spinon in a Luttinger liquid
• Fate of the Quasi-condensed State for Bias-driven Hard-Core Bosons in one Dimension