Exact solution of the F model of an antiferroelectric

Elliott H. Lieb

Research output: Contribution to journalArticlepeer-review

303 Scopus citations


The Rys F model of an antiferroelectric is solved by the transfer-matrix method. The result is different in many respects from the analogous Ising antiferromagnet, i.e., an infinite-order phase transition and a natural boundary in the complex T plane. It can also be solved when an external electric field is included. Above the transition temperature the behavior is normal while below Tc there is no polarization unless the electric field is sufficiently large.

Original languageEnglish (US)
Pages (from-to)1046-1048
Number of pages3
JournalPhysical review letters
Issue number24
StatePublished - 1967

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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