Melting of Two-Dimensional Solids on Disordered Substrates

David Carpentier and Pierre Le Doussal
Phys. Rev. Lett. 81, 1881 – Published 31 August 1998
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Abstract

We study 2D solids with weak substrate disorder, using Coulomb gas renormalization. The melting transition is found to be replaced by a sharp crossover between a high temperature liquid with thermally induced dislocations, and a low temperature glassy regime with disorder induced dislocations. We compute the length scale, larger than the Larkin length, beyond which these disorder induced defects appear. We discuss experimental consequences, reminiscent of melting, such as size effects in vortex flow and ac response in superconducting films.

  • Received 18 December 1997

DOI:https://doi.org/10.1103/PhysRevLett.81.1881

©1998 American Physical Society

Authors & Affiliations

David Carpentier and Pierre Le Doussal

  • CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, 24 Rue Lhomond, 75231 Paris, France

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Issue

Vol. 81, Iss. 9 — 31 August 1998

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