Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-03-29
Physics
Condensed Matter
Disordered Systems and Neural Networks
19 pages, 4 eps figures
Scientific paper
We consider the infinite-range spin glass in which the spins have m > 1 components (a vector spin glass). Applying a magnetic field which is random in direction, there is an Almeida Thouless (AT) line below which the "replica symmetric" solution is unstable, just as for the Ising (m=1) case. We calculate the location of this AT line for Gaussian random fields for arbitrary m, and verify our results by numerical simulations for m = 3$.
Sharma Auditya
Young Patrick A.
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