Nuclear Physics B (May 2015)

Modified algebraic Bethe ansatz for XXZ chain on the segment – II – general cases

  • S. Belliard,
  • R.A. Pimenta

DOI
https://doi.org/10.1016/j.nuclphysb.2015.03.016
Journal volume & issue
Vol. 894, no. C
pp. 527 – 552

Abstract

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The spectral problem of the Heisenberg XXZ spin-12 chain on the segment is investigated within a modified algebraic Bethe ansatz framework. We consider in this work the most general boundaries allowed by integrability. The eigenvalues and the eigenvectors are obtained. They are characterised by a set of Bethe roots with cardinality equal to N, the length of the chain, and which satisfies a set of Bethe equations with an additional term.