Transport in Luttinger Liquids with Strong Impurities
Mesoscale and Nanoscale Physics
2009-11-13 v1 Disordered Systems and Neural Networks
Abstract
The tunnel current of a Luttinger liquid with a finite density of strong impurities is calculated using an instanton approach. For very low temperatures or electric fields the (nonlinear) conductivity is of variable range hopping (VRH) type as for weak pinning. For higher temperatures or fields the conductivity shows power law behavior corresponding to a crossover from multi- to single-impurity tunneling. For even higher and not too strong pinning there is a second crossover to weak pinning. The determination of the position of the various crossover lines both for strong and weak pinning allows the construction of the global regime diagram.
Keywords
Cite
@article{arxiv.0807.0194,
title = {Transport in Luttinger Liquids with Strong Impurities},
author = {S. Malinin and T. Nattermann},
journal= {arXiv preprint arXiv:0807.0194},
year = {2009}
}