Correlation inequalities for classical and quantum XY models

Costanza Benassi, Benjamin T Lees, Daniel Ueltschi

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

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.
Original languageEnglish
Title of host publicationAdvances in Quantum Mechanics
EditorsA. Michelangeli, G. Dell'Antonio
PublisherSpringer, Cham
Pages15-31
Number of pages16
Volume18
ISBN (Electronic)978-3-319-58904-6
ISBN (Print)978-3-319-58903-9
DOIs
Publication statusPublished - 2017

Publication series

NameAdvances in Quantum Mechanics
PublisherSpringer

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