Correlation Inequalities for Classical and Quantum XY Models

Costanza Benassi, Benjamin Lees, Daniel Ueltschi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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
Subtitle of host publicationContemporary Trends and Open Problems
EditorsAlessandro Michelangeli, Gianfausto Dell'Antonio
PublisherSpringer
Pages15-31
Number of pages17
ISBN (Electronic)9783319589046
ISBN (Print)9783319589039
DOIs
Publication statusPublished - Sep 2017
Externally publishedYes

Publication series

NameSpringer INdAM Series
PublisherSpringer
Volume18

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