Exact Results of the 1D $1/r^2$ Supersymmetric t-J Model without Translational Invariance

Abstract

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

14 pages, Latex

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• Quantum duality and Bethe-ansatz for the Hofstadter problem on hexagonal lattice
• Integrabilities of the long range t-J model of twisted boundary condition
• Spinless Calogero-Sutherland model with twisted boundary condition
• SU(m|n) supersymmetric Calogero-Sutherland model confined in harmonic potential