On the Lower Critical Dimension of XY Spin Glasses

M. Schwartz, A. P. Young*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We discuss a proof by Nishimori and Ozeki that there is no spin glass order in short-range vector spin glasses below four dimensions. We argue that certain assumptions made in their derivation are incorrect. We also give a simple proof without using the replica trick, of the rather unsurprising result that such systems have no spin glass order in or below two dimensions.

Original languageEnglish
Pages (from-to)209-214
Number of pages6
JournalJournal de Physique (Paris), Lettres
Issue number2
StatePublished - 15 May 1991


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