Pure states in spin glasses

David A. Huse; Daniel S. Fisher

doi:10.1088/0305-4470/20/15/012

Pure states in spin glasses

David A. Huse, Daniel S. Fisher

Research output: Contribution to journal › Letter › peer-review

85 Scopus citations

Abstract

The question of the existence of multiple pure states in spin glasses and other disordered systems is considered. The authors show that the distribution of overlaps, P(q), is an unreliable indicator of how many distinct pure states a system has. They discuss the definition of, and possible relations between, pure states. They also discuss the spin glass on a Bethe lattice and the infinite-range model, pointing out why their ordered phases are likely to be unlike that of realistic spin glass models. Various possibilities for the behaviour of finite-range spin glasses are discussed.

Original language	English (US)
Pages (from-to)	L997-L1003
Journal	Journal of Physics A: Mathematical and General
Volume	20
Issue number	15
DOIs	https://doi.org/10.1088/0305-4470/20/15/012
State	Published - Oct 21 1987
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/20/15/012

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AB - The question of the existence of multiple pure states in spin glasses and other disordered systems is considered. The authors show that the distribution of overlaps, P(q), is an unreliable indicator of how many distinct pure states a system has. They discuss the definition of, and possible relations between, pure states. They also discuss the spin glass on a Bethe lattice and the infinite-range model, pointing out why their ordered phases are likely to be unlike that of realistic spin glass models. Various possibilities for the behaviour of finite-range spin glasses are discussed.

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