Sharma A, Young AP. de Almeida-Thouless line in vector spin glasses.
PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010;
81:061115. [PMID:
20866386 DOI:
10.1103/physreve.81.061115]
[Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/30/2010] [Indexed: 05/29/2023]
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 a de 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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