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Updated: Apr 6, 2026

Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids
Wade DeGottardi1, K A Matveev1
1Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA.
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 and find a strong deviation from perfect conductance quantization. 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.
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