Random walk analysis of the commensurate-incommensurate transition in the isotropic spin-1 chain

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Abstract

It has been observed that in the isotropic spin-1 chain a transition in the asymptotic properties of the correlation function (commensurate-incommensurate transition) occurs at the AKLT point. We propose a simple random-walk-type argument, explaining this transition. Also, we consider a modification of the AKLT model, for which this argument can be turned into a rigorous proof.

Original languageEnglish
Pages (from-to)957-981
Number of pages25
JournalJournal of Statistical Physics
Volume130
Issue number5
DOIs
Publication statusPublished - Mar 2008
Externally publishedYes

Keywords

  • AKLT model
  • Commensurate-incommensurate transition
  • Isotropic spin-1 chain

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