Spin glasses in the limit of an infinite number of spin components

Lee, L.W.; Dhar, Abhishek; Young, A.P.

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/1186

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DC Field	Value	Language
dc.contributor.author	Lee, L.W.	-
dc.contributor.author	Dhar, Abhishek	-
dc.contributor.author	Young, A.P.	-
dc.date.accessioned	2006-05-11T10:40:53Z	-
dc.date.available	2006-05-11T10:40:53Z	-
dc.date.issued	2005-03-28	-
dc.identifier.citation	Physical Review E, 2005, Vol.71, 036146	en
dc.identifier.issn	1539-3755	-
dc.identifier.issn	1550-2376 (online)	-
dc.identifier.uri	http://hdl.handle.net/2289/1186	-
dc.description.abstract	We consider spin glass models in which the number of spin components m is infinite. In the formulation of the problem appropriate for numerical calculations proposed by several authors, we show that the order parameter defined by the long-distance limit of the correlation functions is actually zero and there is only "quasi-long-range order" below the transition temperature. Nonetheless, there can be a finite temperature phase transition where the decay of correlations changes from exponential to power law. We also show that the spin glass transition temperature is zero in three dimensions so power-law behavior only occurs at T=0 in this case. We also argue that the order of limits, m-->[infinity] and N-->[infinity] is important, where N is the number of spins.	en
dc.format.extent	711101 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	The American Physical Society	en
dc.relation.uri	http://link.aps.org/abstract/PRE/v71/e036146	en
dc.rights	(2005) by the American Physical Society	en
dc.title	Spin glasses in the limit of an infinite number of spin components	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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