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

TL;DR

This paper investigates a disorder-driven continuous roughening transition in charge density waves and flux line lattices, revealing a new phase transition from ordered to glassy states influenced by impurities and lattice potential.

Contribution

It introduces a novel disorder-driven roughening transition in CDWs and flux line lattices, with calculated critical exponents and implications for high-temperature superconductor vortex behavior.

Findings

Identifies a continuous roughening transition in 3D CDWs and flux lattices.

Calculates critical exponents satisfying scaling relations.

Discusses implications for high-temperature superconductor vortex 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/\pi a 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 \mu=p^2/p_c^2-1 and \epsilon=4-d and fulfill the scaling relations of random field models. Implications for flux line lattices in high temperature superconductors are briefly discussed.