title: Thermodynamical limit of the Lipkin-Meshkov-Glick model.
abstract: 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.
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France.
authors.forename: Pedro
authors.initials: P
authors.lastname: Ribeiro
authors.forename: Julien
authors.initials: J
authors.lastname: Vidal
authors.forename: Rémy
authors.initials: R
authors.lastname: Mosseri