2003/03/12 by Thomas Nattermann, Thierry Giamarchi, Pierre Le Doussal · 4 citations
Materials Science · Mathematics · Physics and Astronomy · #Charge (physics) #Charge density wave #Condensed matter physics #Creep #Crossover #Degrees of freedom (physics and chemistry) #Dimension (graph theory) #Electrical resistivity and conductivity #Instanton #Materials science #Mathematics #Metastability #Nonlinear system #Organic and Molecular Conductors Research #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Range (aeronautics) #Variable-range hopping #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.91.056603
published as Phys. Rev. Lett. 91, 056603 (2003)
arxiv created 2003/03/12 · openalex publication_date 2003/07/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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=e(-c/E(1/2)) 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.