Transport in Luttinger Liquids with Strong Impurities

S. Malinin; T. Nattermann

doi:10.1142/s0217979207045359

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arXiv · 0807.0194

Transport in Luttinger Liquids with Strong Impurities

S. Malinin·T. Nattermann

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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 $T$ or electric fields $E$ 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 $T$ 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.

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S. Malinin, T. Nattermann. 2008-07-01. Transport in Luttinger Liquids with Strong Impurities. https://doi.org/10.1142/s0217979207045359

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