Solution of the dimer problem by the transfer matrix method

Elliott H. Lieb

Research output: Contribution to journalArticle

95 Scopus citations

Abstract

It is shown how the monomer-dimer problem can be formulated in terms of a transfer matrix, and hence in terms of simple spin operators as was originally done for the Ising problem. Thus, we rederive the solution to the pure dimer problem without using Pfaffians. The solution is extremely simple once one sees how to formulate the transfer matrix.

Original languageEnglish (US)
Pages (from-to)2339-2341
Number of pages3
JournalJournal of Mathematical Physics
Volume8
Issue number12
DOIs
StatePublished - Jan 1 1967

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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