Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
Journal Article
·
· Physical Review. B, Condensed Matter and Materials Physics
- Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse. 77, 50937 Cologne (Germany)
- Laboratoire de Physique Theorique de la Matiere Condensee, CNRS UMR 7600, Universite Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05 (France)
We analyze the finite-size scaling exponents in the Lipkin-Meshkov-Glick model by means of the Holstein-Primakoff representation of the spin operators and the continuous unitary transformations method. This combination allows us to exactly compute the leading corrections to the ground-state energy, the gap, the magnetization, and the two-spin correlation functions. We also present numerical calculations for large system size which confirm the validity of this approach. Finally, we use these results to discuss the entanglement properties of the ground state focusing on the (rescaled) concurrence that we compute in the thermodynamical limit.
- OSTI ID:
- 20719054
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 22 Vol. 71; ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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