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Article: Pathology of Schwinger boson mean-field theory for Heisenberg spin models

TitlePathology of Schwinger boson mean-field theory for Heisenberg spin models
Authors
Issue Date2002
PublisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/
Citation
Physical Review B - Condensed Matter And Materials Physics, 2002, v. 66 n. 10, p. 1044171-1044176 How to Cite?
AbstractWe reanalyze the Schwinger boson mean-field theory (SBMFT) for Heisenberg spin models on the cubic lattice. We find that the second-order phase-transition point for magnetic ordering previously reported corresponds to a local maximum of the free-energy functional. For both ferromagnetic and antiferromagnetic Heisenberg models with spin S ≥ SC, where SC < 1/2, the mean-field transitions are first-order from the magnetically long-ranged ordered phase to the completely uncorrelated phase. In addition to erroneously giving a first-order transition for magnetic ordering, the mean-field theory does not include a phase with finite short-range correlation, thus negating one of the prime advantages of SBMFT. The relevance of these pathologies to other situations beyond the cubic lattice is discussed.
Persistent Identifierhttp://hdl.handle.net/10722/174831
ISSN
2001 Impact Factor: 3.07
References

 

DC FieldValueLanguage
dc.contributor.authorDe Silva, TNen_US
dc.contributor.authorMa, Men_US
dc.contributor.authorZhang, FCen_US
dc.date.accessioned2012-11-26T08:47:43Z-
dc.date.available2012-11-26T08:47:43Z-
dc.date.issued2002en_US
dc.identifier.citationPhysical Review B - Condensed Matter And Materials Physics, 2002, v. 66 n. 10, p. 1044171-1044176en_US
dc.identifier.issn0163-1829en_US
dc.identifier.urihttp://hdl.handle.net/10722/174831-
dc.description.abstractWe reanalyze the Schwinger boson mean-field theory (SBMFT) for Heisenberg spin models on the cubic lattice. We find that the second-order phase-transition point for magnetic ordering previously reported corresponds to a local maximum of the free-energy functional. For both ferromagnetic and antiferromagnetic Heisenberg models with spin S ≥ SC, where SC < 1/2, the mean-field transitions are first-order from the magnetically long-ranged ordered phase to the completely uncorrelated phase. In addition to erroneously giving a first-order transition for magnetic ordering, the mean-field theory does not include a phase with finite short-range correlation, thus negating one of the prime advantages of SBMFT. The relevance of these pathologies to other situations beyond the cubic lattice is discussed.en_US
dc.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/en_US
dc.relation.ispartofPhysical Review B - Condensed Matter and Materials Physicsen_US
dc.titlePathology of Schwinger boson mean-field theory for Heisenberg spin modelsen_US
dc.typeArticleen_US
dc.identifier.emailZhang, FC: fuchun@hkucc.hku.hken_US
dc.identifier.authorityZhang, FC=rp00840en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0036752332en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036752332&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume66en_US
dc.identifier.issue10en_US
dc.identifier.spage1044171en_US
dc.identifier.epage1044176en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridDe Silva, TN=6603018612en_US
dc.identifier.scopusauthoridMa, M=7202445040en_US
dc.identifier.scopusauthoridZhang, FC=14012468800en_US

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