Exactly solvable multichain supersymmetric t-J model.

Abstract

We have constructed a Bethe ansatz solution for the multichain quantum supersymmetric frustrated t-J model. The system is in the antichiral state for both spin and charge degrees of freedom. Elementary spin and charge excitations carry nonzero chiralities (topological charges) but they are confined into pairs with opposite signs of their chiralities, so the state of the system remains antichiral. Topological terms of Wess-Zumino nature in the Hamiltonian cause such chiral behavior. We conjecture that a multichain supersymmetric frustrated t-J model without topological terms in the Hamiltonian has charge and spin excitations with gaps.