Monomers and Dimers

Ole J. Heilmann, Elliott H. Lieb

Research output: Contribution to journalArticlepeer-review

126 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 - 1970

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


Dive into the research topics of 'Monomers and Dimers'. Together they form a unique fingerprint.

Cite this