Thermodynamical limit of the Lipkin-Meshkov-Glick model

Thermodynamical limit of the Lipkin-Meshkov-Glick model

A method based on the analysis of the Majorana polynomial roots is introduced to compute the spectrum of the Lipkin-Meshkov-Glick model in the thermodynamical limit. A rich structure made of four qualitatively different regions is revealed in the parameter space, whereas the ground state study disti...

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Veröffentlicht in:Physical review letters 2007-08, Vol.99 (5), p.050402-050402, Article 050402
Hauptverfasser: Ribeiro, Pedro, Vidal, Julien, Mosseri, Rémy
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
GROUND STATES
MAJORANA THEORY
MATHEMATICAL SPACE
POLYNOMIALS
THERMODYNAMIC MODEL
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Zusammenfassung:A method based on the analysis of the Majorana polynomial roots is introduced to compute the spectrum of the Lipkin-Meshkov-Glick model in the thermodynamical limit. A rich structure made of four qualitatively different regions is revealed in the parameter space, whereas the ground state study distinguishes between only two phases.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.99.050402