We consider a one-dimensional two-band model of electrons on a lattice with nearest-neighbor hopping t constrained by the excluded multiple occupancy of the sites, an interband splitting, \ensuremath{\Delta}, and intraband and interband exchange J between neighboring sites. This model is integrable at the supersymmetric point and reduces to the SU(4)-invariant supersymmetric t-J model with crystal field splitting. We present the exact solution via Bethe's ansatz and discuss ground-state properties and the excitation spectrum as a function of \ensuremath{\Delta}.We consider a one-dimensional two-band model of electrons on a lattice with nearest-neighbor hopping t constrained by the excluded multiple occupancy of the sites, an interband splitting, \ensuremath{\Delta}, and intraband and interband exchange J between neighboring sites. This model is integrable at the supersymmetric point and reduces to the SU(4)-invariant supersymmetric t-J model with crystal field splitting. We present the exact solution via Bethe's ansatz and discuss ground-state properties and the excitation spectrum as a function of \ensuremath{\Delta}.

Physical Review LettersOct 19, 199212 citations

Exact solution of the one dimensional supersymmetric t-J model

Sarben Sarkar

Physica B Condensed MatterAug 1, 19900 citations

Exact results of the one-dimensional 1/ r2 supersymmetrict-Jmodel without translational invariance

C. Gruber, D. F. Wang

In this work, we continue the study of the supersymmetric t-J model with 1/ ${\mathit{r}}^{2}$ hopping and exchange without translational invariance. A set of Jastrow eigenfunctions are obtained for the system, with eigenenergies explicitly calculated. The ground state of the t-J model is included in this set of wave functions. The spectrum of this t-J model consists of equidistant energy levels which are highly degenerate.In this work, we continue the study of the supersymmetric t-J model with 1/${\mathit{r}}^{2}$ hopping and exchange without translational invariance. A set of Jastrow eigenfunctions are obtained for the system, with eigenenergies explicitly calculated. The ground state of the t-J model is included in this set of wave functions. The spectrum of this t-J model consists of equidistant energy levels which are highly degenerate.

arXiv:cond-mat/9401009Physical review. B, Condensed matterAug 1, 199416 citations

Spectrum of the supersymmetric t-J model

J. Exeter, Sarben Sarkar

Physica B Condensed MatterFeb 1, 19952 citations

In this work, we continue the study of the supersymmetric t-J model with 1/

{\mathit{r}}^{2}

hopping and exchange without translational invariance. A set of Jastrow eigenfunctions are obtained for the system, with eigenenergies explicitly calculated. The ground state of the t-J model is included in this set of wave functions. The spectrum of this t-J model consists of equidistant energy levels which are highly degenerate.