Functional Relations and Bethe Ansatz for the XXZ Chain

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105 Scopus citations

Abstract

There is an approach due to Bazhanov and Reshetikhin for solving integrable RSOS models which consists of solving the functional relations which result from the truncation of the fusion hierarchy. We demonstrate that this is also an effective means of solving integrable vertex models. Indeed, we use this method to recover the known Bethe Ansatz solutions of both the closed and open XXZ quantum spin chains with U(1) symmetry. Moreover, since this method does not rely on the existence of a pseudovacuum state, we also use this method to solve a special case of the open XXZ chain with nondiagonal boundary terms.

Original languageEnglish (US)
Pages (from-to)1363-1376
Number of pages14
JournalJournal of Statistical Physics
Volume111
Issue number5-6
DOIs
StatePublished - Jun 1 2003

Keywords

  • Bethe Ansatz
  • Boundary sine-Gordon model
  • Functional relations
  • Fusion hierarchy
  • Integrable quantum spin chain; boundary terms
  • Yang-Baxter equation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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