Frequency-Temperature Crossover in the Conductivity of Disordered Luttinger Liquids

Details Frequency-Temperature Crossover in the Conductivity of Disordered Luttinger Liquids Frequency-Temperature Crossover in the Conductivity of Disordered Luttinger Liquids

2006-10-16

arxiv.org/abs/cond-mat/0610426v1

Phys. Rev. B 76, 155108 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevB.76.155108

The temperature ($T$) and frequency ($\omega$) 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 $\omega/T$ 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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