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arXiv · 1003.5599

The de Almeida-Thouless line in vector spin glasses

Auditya Sharma·A. P. Young
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Abstract

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$.

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Auditya Sharma, A. P. Young. 2010-03-29. The de Almeida-Thouless line in vector spin glasses. https://doi.org/10.1103/physreve.81.061115

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