Large-N scaling behavior of the Lipkin-Meshkov-Glick model
Date
2005
Authors
Leyvraz F.
Heiss W.D.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
We introduce a novel semiclassical approach to the Lipkin model. In this way the well-known phase transition arising at the critical value of the coupling is intuitively understood. New results-showing for strong couplings the existence of a threshold energy which separates deformed from undeformed states as well as the divergence of the density of states at the threshold energy-are explained straightforwardly and in quantitative terms by the appearance of a double well structure in a classical system corresponding to the Lipkin model. Previously unnoticed features of the eigenstates near the threshold energy are also predicted and found to hold. © 2005 The American Physical Society.
Description
Keywords
Classical system, Threshold energy, Undeformed states, Eigenvalues and eigenfunctions, Energy absorption, Mathematical models, Phase transitions
Citation
Physical Review Letters
95
5
95
5