Berlin 2012 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 13: Transport: Poster Session

TT 13.27: Poster

Montag, 26. März 2012, 15:00–19:00, Poster B

Decoherence-induced conductivity in the 1D Anderson model: Resistivity, generalized Lyapunov exponents and localization length — •Matías Zilly¹, Orsolya Ujsághy², Marko Woelki³, Thomas Stegmann¹, and Dietrich E. Wolf¹ — ¹Fakultät für Physik und CeNiDE, Universität Duisburg-Essen, Duisburg, Germany — ²Department of Theoretical Physics and Condensed Matter Research Group of the Hungarian Academy of Sciences, Budapest University of Technology and Economics, Budapest, Hungary — ³Theoretische Physik, Universität des Saarlands, Saarbrücken, Germany

A recently proposed statistical model for the effects of decoherence on electron transport [1] manifests a decoherence-driven transition from quantum-coherent localized to ohmic behavior when applied to the Anderson model. Here [2] we derive the resistivity in the ohmic case and study the critical decoherence density at which the transition takes place. This density is shown to be related to the second-order generalized Lyapunov exponent, which under the assumption of a Gaussian limiting distribution for the logarithm of the transmission lnT allows to determine the localization length.
M. Zilly, O. Ujsághy, and D. E. Wolf. Eur. Phys. J. B 68, 237 (2009)
M. Zilly, O. Ujsághy, M. Woelki, and D. E. Wolf. arXiv:1111.6014