Transport in a Luttinger liquid with dissipation: Two impurities

Leiming Chen, Zoran Ristivojevic, and Thomas Nattermann
Phys. Rev. B 80, 195102 – Published 2 November 2009

Abstract

We consider theoretically the transport in a one-channel spinless Luttinger liquid with two strong impurities in the presence of dissipation. As a difference with respect to the dissipation free case, where the two impurities fully transmit electrons at resonance points, the dissipation prevents complete transmission in the present situation. A rich crossover diagram for the conductance as a function of applied voltage, temperature, dissipation strength, Luttinger liquid parameter K, and the deviation from the resonance condition is obtained. For weak dissipation and 1/2<K<1, the conduction shows a nonmonotonic increase as a function of temperature or voltage. For strong dissipation the conduction increases monotonically but is exponentially small.

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  • Received 22 June 2009

DOI:https://doi.org/10.1103/PhysRevB.80.195102

©2009 American Physical Society

Authors & Affiliations

Leiming Chen1,2, Zoran Ristivojevic1,3, and Thomas Nattermann1

  • 1Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str. 77, 50937 Köln, Germany
  • 2College of Science, China University of Mining and Technology, Xuzhou 221116, People’s Republic of China
  • 3Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA

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Issue

Vol. 80, Iss. 19 — 15 November 2009

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