Crystal surfaces with correlated disorder: Phase transitions between roughening and superroughening
arXiv:cond-mat/9506037 · doi:10.1103/PhysRevLett.75.4760
Abstract
A theory for surface transitions in the presence of a disordered pinning potential is presented. Arbitrary disorder correlations are treated in the framework of a dynamical functional renormalization group. The roughening transition, where surface roughness and mobility behave discontinuously, is shown to turn smoothly into the continuous superroughening transition, when the range of disorder correlations is decreased. Implications for random-field -models and vortex glasses are discussed.
13 pages with 2 figures, latex+revtex
References in corpus (7)
- Elastic Theory of pinned flux lattices
- Dynamic and Static Properties of the Randomly Pinned Planar Flux Array
- Glassy Roughness of a Crystalline Surface Upon a Disordered Substrate
- Dynamics of Particle Deposition on a Disordered Substrate: I. Near- Equilibrium Behavior
- How (Super) Rough is the Glassy Phase of a Crystalline Surface with a Disordered Substrate?
- Comment on: Dynamic and Static Properties of the Randomly Pinned Flux Array
- Dynamical Properties of a Growing Surface on a Random Substrate
Cited by in corpus (8)
- Driven Dynamics of Periodic Elastic Media in Disorder
- Random quantum magnets with long-range correlated disorder: Enhancement of critical and Griffiths-McCoy singularities
- Ground state properties of fluxlines in a disordered environment
- Roughening and superroughening in the ordered and random two-dimensional sine-Gordon models
- Dislocations in the ground state of the solid-on-solid model on a disordered substrate
- XY models with disorder and symmetry-breaking fields in two dimensions
- Longitudinal and transverse dissipation in a simple model for the vortex lattice with screening
- Roughening of a growing surface on a crystal with correlated disorder: influence of nonlinearity