Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-07-19
J. Stat. Mech. (2006) P10004
Physics
Condensed Matter
Statistical Mechanics
38 pages, 12 Postscript figures
Scientific paper
10.1088/1742-5468/2006/10/P10004
We show that, above the critical temperature, if the dimension D of a given Ising spin glass model is sufficiently high, its free energy can be effectively expressed through the free energy of a related Ising model. When, in a large sense, D is infinite, in the paramagnetic phase and on its boundary the mapping is exact. In this limit the method provides a general and simple rule to obtain exactly the upper phase boundaries. We provide even simple effective rules to find crossover surfaces and correlation functions. We apply the mapping to several spin glass models.
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