Physics – Condensed Matter
Scientific paper
1995-03-03
J. Phys. I France 5 (1995) 379
Physics
Condensed Matter
14 pages, LaTeX, 1 uuencoded PostScript figure (accepted at 15 Nov 94 for publication in March 95 issue of J. Phys. I France)
Scientific paper
10.1051/jp1:1995132
The randomly pinned planar flux line array is supposed to show a phase transition to a vortex glass phase at low temperatures. This transition has been examined by using a mapping onto a 2D XY-model with random an\-iso\-tropy but without vortices and applying a renormalization group treatment to the replicated Hamiltonian based on the mapping to a Coulomb gas of vector charges. This renormalization group approach is extended by deriving renormalization group flow equations which take into account the possibility of a one-step replica symmetry breaking. It is shown that the renormalization group flow is unstable with respect to replica asymmetric perturbations and new fixed points with a broken replica symmetry are obtained. Approaching these fixed points the system can optimize its free energy contributions from fluctuations on large length scales; an optimal block size parameter $m$ can be found. Correlation functions for the case of a broken replica symmetry can be calculated. We obtain both correlations diverging as $\ln{r}$ and $\ln^2{r}$ depending on the choice of $m$.
No associations
LandOfFree
Replica Symmetry Breaking in Renormalization: Application to the Randomly Pinned Planar Flux Array does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Replica Symmetry Breaking in Renormalization: Application to the Randomly Pinned Planar Flux Array, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Replica Symmetry Breaking in Renormalization: Application to the Randomly Pinned Planar Flux Array will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-339417