Variable-Range Hopping and Quantum Creep in One Dimension

Thomas Nattermann, Thierry Giamarchi, and Pierre Le Doussal
Phys. Rev. Lett. 91, 056603 – Published 31 July 2003

Abstract

We study the quantum nonlinear response to an applied electric field E of a one-dimensional pinned charge-density wave or Luttinger liquid in the presence of disorder. From an explicit construction of low-lying metastable states and of bounce instanton solutions between them, we demonstrate quantum creep v=ec/E1/2 as well as a sharp crossover at E=E* towards a linear response form consistent with variable-range hopping arguments, but dependent only on electronic degrees of freedom.

  • Figure
  • Figure
  • Received 12 March 2003

DOI:https://doi.org/10.1103/PhysRevLett.91.056603

©2003 American Physical Society

Authors & Affiliations

Thomas Nattermann1, Thierry Giamarchi2, and Pierre Le Doussal3

  • 1Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77 D-50937 Köln, Germany
  • 2Universite de Geneve, DPMC, 24 Quai Ernest Ansermet, CH-1211 Geneve 4, Switzerland
  • 3CNRS-Laboratoire de Physique Theorique de l’Ecole Normale Superieure, 24 Rue Lhomond, Paris 75231, France

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Issue

Vol. 91, Iss. 5 — 1 August 2003

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