Monomers and Dimers

Ole J. Heilmann, Elliott H. Lieb

Research output: Contribution to journalArticle

115 Scopus citations


We prove that the free energy of an arbitrary monomer-dimer system is analytic in the density and temperature for nonzero density, and hence that the system has no phase transition. This result can also be used to locate the z=e2βh roots of the Heisenberg ferromagnet or antiferromagnet at high temperature.

Original languageEnglish (US)
Pages (from-to)1412-1414
Number of pages3
JournalPhysical review letters
Issue number25
StatePublished - Jan 1 1970

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Heilmann, O. J., & Lieb, E. H. (1970). Monomers and Dimers. Physical review letters, 24(25), 1412-1414.