Phys. Rev. Lett. 91, 162502 (2003) [4 pages]Quantum Phase Transitions in the Interacting Boson Model: Integrability, Level Repulsion, and Level CrossingReceived 20 June 2003; published 14 October 2003 We study the quantum phase transition mechanisms that arise in the interacting boson model. We show that the second-order nature of the phase transition from U(5) to O(6) may be attributed to quantum integrability, whereas all the first-order phase transitions of the model are due to level repulsion with one singular point of level crossing. We propose a model Hamiltonian with a true first-order phase transition for finite systems due to level crossings. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.162502
DOI:
10.1103/PhysRevLett.91.162502
PACS:
21.60.Fw, 21.10.Re, 64.60.Fr
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