title: Finite-size scaling exponents of the Lipkin-Meshkov-Glick model.
abstract: We study the ground state properties of the critical Lipkin-Meshkov-Glick model. Using the Holstein-Primakoff boson representation, and the continuous unitary transformation technique, we compute explicitly the finite-size scaling exponents for the energy gap, the ground state energy, the magnetization, and the spin-spin correlation functions. Finally, we discuss the behavior of the two-spin entanglement in the vicinity of the phase transition.
authors.affiliation: Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, 50937 Köln, Germany. sdusuel@thp.uni-koeln.de
authors.forename: Sébastien
authors.initials: S
authors.lastname: Dusuel
authors.forename: Julien
authors.initials: J
authors.lastname: Vidal