A complete Bethe ansatz solution for the open spin-s XXZ chain with general integrable boundary terms

Luc Frappat, Rafael I. Nepomechie, Eric Ragoucy

Research output: Contribution to journalArticlepeer-review

42 Scopus citations

Abstract

We consider the open spin-s XXZ quantum spin chain with N sites and general integrable boundary terms for generic values of the bulk anisotropy parameter, and for values of the boundary parameters which satisfy a certain constraint. We derive two sets of Bethe ansatz equations, and find numerical evidence that together they give the complete set of (2s+1)N eigenvalues of the transfer matrix. For the case of s = 1, we explicitly determine the Hamiltonian, and find an expression for its eigenvalues in terms of Bethe roots.

Original languageEnglish (US)
Article numberP09009
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number9
DOIs
StatePublished - Sep 1 2007

Keywords

  • Algebraic structures of integrable models
  • Integrable spin chains (vertex models)
  • Quantum integrability (Bethe ansatz)

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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