Transport of charge-density waves in the presence of disorder: Classical pinning vs quantum localization

Abstract

We consider the interplay of the elastic pinning and the Anderson localization in the transport properties of a charge-density wave in one dimension, within the framework of the Luttinger model in the limit of strong repulsion. We address a conceptually important issue of which of the two disorder-induced phenomena limits the mobility more effectively. We argue that the interplay of the classical and quantum effects in transport of a very rigid charge-density wave is quite nontrivial: the quantum localization sets in at a temperature much smaller than the pinning temperature, whereas the quantum localization length is much smaller than the pinning length.

arXiv comment4 pages

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• Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires
• Relaxation processes in a disordered Luttinger liquid
• Thermal transport in disordered one-dimensional spin chains