A comparison of plane rotor and Ising models

M. Aizenman, B. Simon

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

Let βcI be the critical inverse temperature in an Ising ferromagnet with pair interactions and let βcR be the critical temperatures in the plane rotor (classical xy model) with the same couplings. We prove that βcR ≥ 2βcI. This yields the lower bound βc ≥ 0.88 for the Kosterlitz-Thouless transition.

Original languageEnglish (US)
Pages (from-to)281-282
Number of pages2
JournalPhysics Letters A
Volume76
Issue number3-4
DOIs
StatePublished - Mar 31 1980

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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