Exact solution of the open XXZ chain with general integrable boundary terms at roots of unity

Rajan Murgan, Rafael I. Nepomechie, Chi Shi

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We propose a Bethe-ansatz-type solution of the open spin-1/2 integrable XXZ quantum spin chain with general integrable boundary terms and bulk anisotropy values iπ/(p+1), where p is a positive integer. All six boundary parameters are arbitrary, and need not satisfy any constraint. The solution is in terms of generalized T-Q equations, having more than one Q function. We find numerical evidence that this solution gives the complete set of 2N transfer matrix eigenvalues, where N is the number of spins.

Original languageEnglish (US)
Article numberP08006
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number8
StatePublished - Aug 1 2006



  • 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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