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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 distinguishes between only two phases.