# Elastic systems with correlated disorder: Response to tilt and application to surface growth - Condensed Matter > Disordered Systems and Neural Networks

Elastic systems with correlated disorder: Response to tilt and application to surface growth - Condensed Matter > Disordered Systems and Neural Networks - Download this document for free, or read online. Document in PDF available to download.

Abstract: We study elastic systems such as interfaces or lattices pinned by correlatedquenched disorder considering two different types of correlations: generalizedcolumnar disorder and quenched defects correlated as ~ x^{-a} for largeseparation x. Using functional renormalization group methods, we obtain thecritical exponents to two-loop order and calculate the response to a transversefield h. The correlated disorder violates the statistical tilt symmetryresulting in nonlinear response to a tilt. Elastic systems with columnardisorder exhibit a transverse Meissner effect: disorder generates the criticalfield h c below which there is no response to a tilt and above which the tiltangle behaves as \theta ~ h-h c^{\phi} with a universal exponent \phi<1. Thisdescribes the destruction of a weak Bose glass in type-II superconductors withcolumnar disorder caused by tilt of the magnetic field. For isotropiclong-range correlated disorder, the linear tilt modulus vanishes at smallfields leading to a power-law response \theta ~ h^{\phi} with \phi>1. Theobtained results are applied to the Kardar-Parisi-Zhang equation withtemporally correlated noise.

Author: ** Andrei A. Fedorenko**

Source: https://arxiv.org/