Transport in Luttinger Liquids with Strong Impurities

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.

References in corpus (2)

• Variable-range hopping in quasi-one-dimensional electron crystals
• Variable range hopping and quantum creep in one dimension

Cited by in corpus (1)

• Pinning of Flux Lines by Planar Defects