The XY model has long-range order for all spins and all dimensions greater than one

Tom Kennedy, Elliott H. Lieb, B. Sriram Shastry

Research output: Contribution to journalArticle

140 Scopus citations

Abstract

The quantum XY model of interacting spins on a hypercubic lattice has long-range order in the ground state for all values of the spin and all dimensions greater than one. We also show that in the limit of high dimension the spontaneous magnetization converges to the spontaneous magnetization of the Néel state.

Original languageEnglish (US)
Pages (from-to)2582-2584
Number of pages3
JournalPhysical review letters
Volume61
Issue number22
DOIs
StatePublished - Jan 1 1988

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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