Variable range hopping and quantum creep in one dimension

Details Variable range hopping and quantum creep in one dimension Variable range hopping and quantum creep in one dimension

2003-03-12

arxiv.org/abs/cond-mat/0303233v1

Phys. Rev. Lett. 91, 056603 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevLett.91.056603

We study the quantum non linear response to an applied electric field $E$ of a one dimensional pinned charge density wave or Luttinger liquid in 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.

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