Elastic theory of flux lattices in presence of weak disorder

Details Elastic theory of flux lattices in presence of weak disorder Elastic theory of flux lattices in presence of weak disorder

1995-01-19

arxiv.org/abs/cond-mat/9501087v1

Phys. Rev. B 52 1242 (1995)

Physics

Condensed Matter

59 pages; RevTeX 3.0; 5 postscript figures uuencoded

Scientific paper

10.1103/PhysRevB.52.1242

The effect of disorder on flux lattices at equilibrium is studied quantitatively in the absence of free dislocations using both the Gaussian variational method and the renormalization group. Our results for the mean square relative displacements clarify the nature of the crossovers with distance. We find three regimes: (i) a short distance regime (``Larkin regime'') where elasticity holds (ii) an intermediate regime (``Random Manifold'') where vortices are pinned independently (iii) a large distance, quasi-ordered regime where the periodicity of the lattice becomes important and there is universal logarithmic growth of displacements for $2

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