A New Disorder Driven Roughening Transition of CDW's and Flux Line Lattices

Abstract

We study the competition between pinning of a charge density wave (CDW) by random distributed impurities and a periodic potential of the underlying crystal lattice. In d=3 dimensions, we find for commensurate phases of order p>p_c\approx 6/πa disorder driven continuous roughening transition from a 'flat' phase with translational long range order to a 'rough' glassy phase with quasi long range order. Critical exponents are calculated in a double expansion in μ=p^2/p_c^2-1 and ε=4-d and fulfill the scaling relations of random field models. Implications for flux line lattices in high temperature superconductors are briefly discussed.

4 pages, RevTeX, 1 postscript figure

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• Non-Gaussian effects and multifractality in the Bragg glass
• Numerical study of the disorder-driven roughening transition in an elastic manifold in a periodic potential
• Roughness and critical force for depinning at 3-loop order
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles