The large N behaviour of the Lipkin model and exceptional points

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dc.contributor.authorHeiss W.D.
dc.contributor.authorScholtz F.G.
dc.contributor.authorGeyer H.B.
dc.date.accessioned2011-05-15T16:03:37Z
dc.date.available2011-05-15T16:03:37Z
dc.date.issued2005
dc.description.abstractThe ubiquitous Lipkin model is investigated for an interaction parameter beyond the traditional critical point. It is argued that a phase transition occurs higher up in the spectrum for such larger interaction, where, using appropriate scaling of the energies, the position of the phase transition becomes independent of the particle number. The phase transition is related to near singularities in the complex interaction plane, the exceptional points. Consideration of finite temperature yields the well-known physical features associated with phase transitions. © 2005 IOP Publishing Ltd.
dc.description.versionArticle
dc.identifier.citationJournal of Physics A: Mathematical and General
dc.identifier.citation38
dc.identifier.citation9
dc.identifier.issn3054470
dc.identifier.other10.1088/0305-4470/38/9/002
dc.identifier.urihttp://hdl.handle.net/10019.1/12704
dc.titleThe large N behaviour of the Lipkin model and exceptional points
dc.typeArticle
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