Finite-temperature crossovers in periodic disordered systems

L. Foini and T. Giamarchi
Phys. Rev. E 91, 032101 – Published 2 March 2015

Abstract

We consider the static properties of periodic structures in weak random disorder. We apply a functional renormalization group approach (FRG) and a Gaussian variational method (GVM) to study their displacement correlations. We focus in particular on the effects of temperature and we compute explicitly the crossover length scales separating different regimes in the displacement correlation function. We compare the FRG and GVM results and find excellent agreement. We show that the FRG predicts, in addition, the existence of a third length scale associated with the screening of the disorder by thermal fluctuations and discuss a protocol to observe it.

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  • Received 11 December 2014

DOI:https://doi.org/10.1103/PhysRevE.91.032101

©2015 American Physical Society

Authors & Affiliations

L. Foini and T. Giamarchi

  • Department of Quantum Matter Physics, University of Geneva, 24 Quai Ernest-Ansermet, CH-1211 Geneva, Switzerland

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Vol. 91, Iss. 3 — March 2015

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