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Correlation inequalities for classical and quantum XY models
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Benassi, Costanza, Lees, Benjamin and Ueltschi, Daniel (2017) Correlation inequalities for classical and quantum XY models. In: Michelangeli, Alessandro and Dell'Antonio, Gianfausto, (eds.) Advances in Quantum Mechanics: Contemporary Trends and Open Problems. Springer INdAM Series . Springer International Publishing. ISBN 9783319589039 (In Press)
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Official URL: https://doi.org/10.1007/978-3-319-58904-6
Abstract
We review correlation inequalities of truncated functions for the classical and quantum XY models. A consequence is that the critical temperature of the XY model is necessarily smaller than that of the Ising model, in both the classical and quantum cases. We also discuss an explicit lower bound on the critical temperature of the quantum XY model.
Item Type: | Book Item | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Series Name: | Springer INdAM Series | ||||
Publisher: | Springer International Publishing | ||||
ISBN: | 9783319589039 | ||||
ISSN: | 2281-518X | ||||
Book Title: | Advances in Quantum Mechanics: Contemporary Trends and Open Problems | ||||
Editor: | Michelangeli, Alessandro and Dell'Antonio, Gianfausto | ||||
Official Date: | 30 March 2017 | ||||
Dates: |
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Status: | Peer Reviewed | ||||
Publication Status: | In Press | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 14 July 2017 | ||||
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