Vector breaking of replica symmetry in some lowtemperature disordered systems
Abstract
We present a new method to study disordered systems in the lowtemperature limit. The method uses the replicated Hamiltonian. It studies the saddle points of this Hamiltonian and shows how the various saddlepoint contributions can be resummed in order to obtain the scaling behaviour at low temperatures. In a large class of strongly disordered systems, it is necessary to include saddle points of the Hamiltonian which break the replica symmetry in a vector sector, as opposed to the usual matrix sector breaking of the spin glass meanfield theory.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 May 1997
 DOI:
 10.1088/03054470/30/10/015
 arXiv:
 arXiv:condmat/9611017
 Bibcode:
 1997JPhA...30.3363D
 Keywords:

 Condensed Matter  Disordered Systems and Neural Networks
 EPrint:
 Latex, 26 pages, 1 postscript figure