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Phys. Rev. B 76, 155108 (2007) [5 pages]

Frequency-temperature crossover in the conductivity of disordered Luttinger liquids

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Bernd Rosenow1,2, Andreas Glatz2,3, and Thomas Nattermann2
1Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA
2Institut für Theoretische Physik, Universität zu Köln, 50937 Köln, Germany
3Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA

Received 5 July 2007; published 10 October 2007

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 ωT scaling of the conductivity, such scaling is violated in the RG treatment. We also determine the nonlinear field dependence of the conductivity, whose power law scaling is different from that of temperature and frequency dependence.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.76.155108
DOI:
10.1103/PhysRevB.76.155108
PACS:
71.10.Pm, 72.15.Lh, 72.80.Ng