Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections

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dc.creatorRibeiro, P.
dc.creatorVidal, J.
dc.creatorMosseri, R.
dc.date2008-05-27
dc.date2008-09-01
dc.date.accessioned2026-07-07T09:59:22Z
dc.date.available2026-07-07T09:59:22Z
dc.descriptionThe spectrum of the Lipkin-Meshkov-Glick model is exactly derived in the thermodynamic limit by means of a spin coherent states formalism. In the first step, a classical analysis allows one to distinguish between four distinct regions in the parameter space according to the nature of the singularities arising in the classical energy surface; these correspond to spectral critical points. The eigenfunctions are then analyzed more precisely in terms of the associated roots of the Majorana polynomial, leading to exact expressions for the density of states in the thermodynamic limit. Finite-size effects are also analyzed, leading in particular to logarithmic corrections near the singularities occuring in the spectrum. Finally, we also compute expectation values of the spin operators in a semi-classical analysis in order to illustrate some subtle effects occuring in one region of the parameter space.
dc.description12 pages, 10 figures, published version
dc.identifierhttps://arxiv.org/abs/0805.4078
dc.identifierhttp://arxiv.org/abs/0805.4078
dc.identifierPhys. Rev. E 78, 021106 (2008)
dc.identifierdoi:10.1103/PhysRevE.78.021106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167994
dc.subjectStatistical Mechanics
dc.subjectNuclear Theory
dc.subjectQuantum Physics
dc.titleExact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
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