Variable range hopping and quantum creep in one dimension
Disordered Systems and Neural Networks
2007-05-23 v1 Strongly Correlated Electrons
Abstract
We study the quantum non linear response to an applied electric field 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 as well as a sharp crossover at towards a linear response form consistent with variable range hopping arguments, but dependent only on electronic degrees of freedom.
Cite
@article{arxiv.cond-mat/0303233,
title = {Variable range hopping and quantum creep in one dimension},
author = {Thomas Nattermann and Thierry Giamarchi and Pierre Le Doussal},
journal= {arXiv preprint arXiv:cond-mat/0303233},
year = {2007}
}