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

Samuel Belliard; Rodrigo A. Pimenta

doi:10.1016/j.nuclphysb.2015.03.016

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

Mathematical Physics 2015-04-03 v2 Statistical Mechanics High Energy Physics - Theory math.MP Exactly Solvable and Integrable Systems

Authors: Samuel Belliard , Rodrigo A. Pimenta

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

The spectral problem of the Heisenberg XXZ spin- $\frac{1}{2}$ 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.

Keywords

algebraic bethe ansatz xxz spin chain spectral problem integrable boundaries eigenvalues eigenvectors bethe equations bethe roots

Cite

@article{arxiv.1412.7511,
  title  = {Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases},
  author = {Samuel Belliard and Rodrigo A. Pimenta},
  journal= {arXiv preprint arXiv:1412.7511},
  year   = {2015}
}

Comments

V2 published version

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

Abstract

Keywords

Cite

Comments

Related papers