One more technique for the dimer problem

Jerome K. Percus

Research output: Contribution to journalArticle

Abstract

The problem of counting the dimer coverings of a square lattice is recast as a counting of coverings by oriented closed loops. Thus the answer is expressed as the value of a suitable permanent. This permanent is transformed to a determinant, which on evaluation recovers the familiar result.

Original languageEnglish (US)
Pages (from-to)1881-1884
Number of pages4
JournalJournal of Mathematical Physics
Volume10
Issue number10
DOIs
StatePublished - 1969

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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