Pathologies of the infinite-n limit of random anisotropy: spin glass transition or local crossover?

Daniel S. Fisher

Physica A: Statistical Mechanics and its Applications, 1991, vol. 177, issue 1, 84-92

Abstract: Random anisotropy magnets in the spherical model limit exhibit a spin glass phase, which is shown to be a pathology of this limit. For any finite n, the spin glass phase transition is replaced by a crossover line. Detailed analysis is carried out for the infinite-range mean-field limit. Possible implications for the high-dimensional limit of spin glasses are discussed.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:177:y:1991:i:1:p:84-92

DOI: 10.1016/0378-4371(91)90138-3

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