Abstract
We study the 2D vortex-free model in a random field, a model for randomly pinned flux lines in a plane. We construct controlled renormalization group recursion relations which allow for replica symmetry breaking (RSB). The fixed point previously found by Cardy and Ostlund in the glass phase is unstable to RSB. The susceptibility associated to infinitesimal RSB perturbation in the high-temperature phase is found to diverge as , when . This provides analytical evidence that RSB occurs in finite dimensional models. The physical consequences for the glass phase are discussed.
- Received 22 September 1994
DOI:https://doi.org/10.1103/PhysRevLett.74.606
©1995 American Physical Society