Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids

Abstract

We study the transport properties of long quantum wires by generalizing the Luttinger liquid approach to allow for the finite lifetime of the bosonic excitations. Our theory accounts for long-range disorder and strong electron interactions, both of which are common features of experiments with quantum wires. We obtain the electrical and thermal resistances and thermoelectric properties of such quantum wires. We cast our results in terms of the thermal conductivity and bulk viscosity of the electron liquid and give the temperature scale above which the transport can be described by classical hydrodynamics.

5 pages, 1 figure

References in corpus (4)

• Thermalization of acoustic excitations in a strongly interacting one-dimensional quantum liquid
• Resistivity of inhomogeneous quantum wires
• Kinetics of mobile impurities and correlation functions in one-dimensional superfluids at finite temperature
• Relaxation of weakly interacting electrons in one dimension

Cited by in corpus (15)

• Viscous magnetoresistance of correlated electron liquids
• Hydrodynamic electron transport near charge neutrality
• Viscous Dissipation in One-Dimensional Quantum Liquids
• Thermal conductivity of the degenerate one-dimensional Fermi gas
• Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance
• Second sound in systems of one-dimensional fermions
• Propagation and attenuation of sound in one-dimensional quantum liquids
• Equilibration of Quasi-One-Dimensional Fermi Gases
• Viscous Properties of a Degenerate One-Dimensional Fermi Gas
• Decoupled heat and charge rectification as a many-body effect in quantum wires
• Viscosity of a Multi-channel One-Dimensional Fermi Gas
• Conductance of inhomogeneous Luttinger liquids with a finite bandwidth
• Electronic pumping of heat without charge transfer
• Spin drag mechanism of giant thermal magnetoresistance
• Decay of the Kohn mode in hydrodynamic regime