Quenchedn-vectorp-spin model

Autor: Taucher, T., Frankel, N. E.
Zdroj: Journal of Statistical Physics; May 1993, Vol. 71 Issue: 3-4 p379-413, 35p
Abstrakt: A disorderedn-vector model withp spin interactions previously introduced is studied for the quenched case by means of the replica method and a generalized Parisi theory. We present formal solutions for generaln andp and then study the casep ? 8. The high-temperature solution is stable at all temperatures and there is only one phase transition at a temperatureTg. Only longitudinal lowtemperature solutions are possible. There is one spin-glass solution, and it is stable for allTg. The phase transition atTg is of first order and displays a jump discontinuity in the order parametersqj(L) andd. The spin-glass free energy is temperature dependent forn > 1 while it is constant whenn = 1.
Databáze: Supplemental Index