Exactly soluble Ising models exhibiting multiphase points

David A. Huse, Julia M. Yeomans, Michael E. Fisher

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


A class of decorated spin 1/2 Ising models is introduced: all bonds of a hypercubic lattice parallel to one axis are decorated by n spins. Within each decorated bond, nearest neighbor ferromagnetic interactions compete with next-nearest neighbor antiferromagnetic interactions. An exact dedecoration transformation reduces the model to an anisotropic Ising model which is exactly soluble in two dimensions (d = 2) and for which accurate series expansion estimates are available for d = 3. Phase diagrams are presented for d = 2 and 3: all exhibit a multiphase point at which many distinct, spatially modulated commensurate phases coexist. The variation of the characteristic wavevector and other properties are compared and contrasted with those of the axial next-nearest neighbor Ising (ANNNI) models.

Original languageEnglish (US)
Pages (from-to)2028-2030
Number of pages3
JournalJournal of Applied Physics
Issue number3
StatePublished - 1981
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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