Surface energy of the one-dimensional supersymmetric $t-J$ model with unparallel boundary fields

Fakai Wen; Junpeng Cao; Tao Yang; Kun Hao; Zhan-Ying Yang; Wen-Li Yang

doi:10.1007/JHEP06(2018)076

Surface energy of the one-dimensional supersymmetric $t-J$ model with unparallel boundary fields

Mathematical Physics 2018-10-16 v2 Strongly Correlated Electrons High Energy Physics - Theory math.MP

Authors: Fakai Wen , Junpeng Cao , Tao Yang , Kun Hao , Zhan-Ying Yang , Wen-Li Yang

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Abstract

We investigate the thermodynamic limit of the exact solution, which is given by an inhomogeneous $T-Q$ relation, of the one-dimensional supersymmetric $t-J$ model with unparallel boundary magnetic fields. It is shown that the contribution of the inhomogeneous term at the ground state satisfies the $L^{-1}$ scaling law, where $L$ is the system-size. This fact enables us to calculate the surface (or boundary) energy of the system. The method used in this paper can be generalized to study the thermodynamic limit and surface energy of other models related to rational R-matrices.

Keywords

supersymmetric t-J model unparallel boundary fields inhomogeneous T-Q relation surface energy thermodynamic limit rational R-matrices

Cite

@article{arxiv.1712.04199,
  title  = {Surface energy of the one-dimensional supersymmetric $t-J$ model with unparallel boundary fields},
  author = {Fakai Wen and Junpeng Cao and Tao Yang and Kun Hao and Zhan-Ying Yang and Wen-Li Yang},
  journal= {arXiv preprint arXiv:1712.04199},
  year   = {2018}
}

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published version, 18 pages, 5 figures, 1 table

Surface energy of the one-dimensional supersymmetric $t-J$ model with unparallel boundary fields

Abstract

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