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Pfaffian Correlation Functions of Planar Dimer Covers

Author(s): Aizenman, Michael; Lainz Valcazar, Manuel; Warzel, Simone

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dc.contributor.authorAizenman, Michael-
dc.contributor.authorLainz Valcazar, Manuel-
dc.contributor.authorWarzel, Simone-
dc.date.accessioned2019-05-30T15:59:41Z-
dc.date.available2019-05-30T15:59:41Z-
dc.date.issued2017-02en_US
dc.identifier.citationAizenman, Michael, Lainz Valcazar, Manuel, Warzel, Simone. (2017). Pfaffian Correlation Functions of Planar Dimer Covers. JOURNAL OF STATISTICAL PHYSICS, 166 (1078 - 1091. doi:10.1007/s10955-016-1684-8en_US
dc.identifier.issn0022-4715-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr15b07-
dc.description.abstractThe Pfaffian structure of the boundary monomer correlation functions in the dimer-covering planar graph models is rederived through a combinatorial/topological argument. These functions are then extended into a larger family of order-disorder correlation functions which are shown to exhibit Pfaffian structure throughout the bulk. Key tools involve combinatorial switching symmetries which are identified through the loop-gas representation of the double dimer model, and topological implications of planarity.en_US
dc.format.extent1078 - 1091en_US
dc.language.isoen_USen_US
dc.relation.ispartofJOURNAL OF STATISTICAL PHYSICSen_US
dc.rightsAuthor's manuscripten_US
dc.titlePfaffian Correlation Functions of Planar Dimer Coversen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1007/s10955-016-1684-8-
dc.date.eissued2017-01-03en_US
dc.identifier.eissn1572-9613-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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