Singlets and reflection symmetric spin systems

Elliott H. Lieb, Peter Schupp

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We rigorously establish some exact properties of reflection symmetric spin systems with antiferromagnetic crossing bonds: At least one ground state has total spin zero and a positive semidefinite coefficient matrix. The crossing bonds obey an ice rule. This augments some previous results which were limited to bipartite spin systems and is of particular interest for frustrated spin systems.

Original languageEnglish (US)
Pages (from-to)378-385
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1
StatePublished - May 1 2000

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics


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