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arXiv:1312.0376 · Journal of Statistical Mechanics Theory and Experiment

Exact solution of the one-dimensional super-symmetrict–Jmodel with unparallel boundary fields

Xin Zhang, Junpeng Cao, Wen‐Li Yang, Kangjie Shi, Yupeng Wang

Published Apr 25, 2014• 22 citations
arXivHTMLPDF

Abstract

The exact solution of the one-dimensional super-symmetric t-J model under generic integrable boundary conditions is obtained via the Bethe ansatz methods. With the coordinate Bethe ansatz, the corresponding R-matrix and K-matrices are derived for the second eigenvalue problem associated with spin degrees of freedom. It is found that the second eigenvalue problem can be transformed to that of the transfer matrix of the inhomogeneous XXX spin chain, which allows us to obtain the spectrum of the Hamiltonian and the associated Bethe ansatz equations by the off-diagonal Bethe ansatz method.

DOI
10.1088/1742-5468/2014/04/p04031

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