Partially Solvable Anisotropic t-J Model with Long-Range Interactions

Details Partially Solvable Anisotropic t-J Model with Long-Range Interactions Partially Solvable Anisotropic t-J Model with Long-Range Interactions

1996-06-18

arxiv.org/abs/cond-mat/9606128v1

Physics

Condensed Matter

10 pages, 3 Postscript figures

Scientific paper

10.1143/JPSJ.65.2361

A new anisotropic t-J model in one dimension is proposed which has long-range hopping and exchange. This t-J model is only partially solvable in contrast to known integrable models with long-range interaction. In the high-density limit the model reduces to the XXZ chain with the long-range exchange. Some exact eigenfunctions are shown to be of Jastrow-type if certain conditions for an anisotropy parameter are satisfied. The ground state as well as the excitation spectrum for various cases of the anisotropy parameter and filling are derived numerically. It is found that the Jastrow-type wave function is an excellent trial function for any value of the anisotropy parameter.

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