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Frequency-Temperature Crossover in the Conductivity of Disordered Luttinger Liquids

Bernd Rosenow·Andreas Glatz·Thomas Nattermann
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Abstract

The temperature ($T$) and frequency ($ω$) dependent conductivity of weakly disordered Luttinger liquids is calculated in a systematic way both by perturbation theory and from a finite temperature renormalization group (RG) treatment to leading order in the disorder strength. Whereas perturbation theory results in $ω/T$ scaling of the conductivity such scaling is violated in the RG traetment. We also determine the non-linear field dependence of the conductivity, whose power law scaling is different from that of temperature and frequency dependence.

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Bernd Rosenow, Andreas Glatz, Thomas Nattermann. 2006-10-16. Frequency-Temperature Crossover in the Conductivity of Disordered Luttinger Liquids. https://doi.org/10.1103/physrevb.76.155108

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