Journal of Physics A Mathematical and General
Algebraic Bethe ansatz for the anisotropic supersymmetric U model
Katrina Hibberd, M. D. Gould, Jon Links
Abstract
We present an algebraic Bethe ansatz for the anisotropic supersymmetric U model for correlated electrons on the unrestricted -dimensional electronic Hilbert space (where L is the lattice length). The supersymmetry algebra of the local Hamiltonian is the quantum superalgebra and the model contains two symmetry-preserving free real parameters; the quantization parameter q and the Hubbard interaction parameter U. The parameter U arises from the one-parameter family of inequivalent typical four-dimensional irreps of . Eigenstates of the model are determined by the algebraic Bethe ansatz on a one-dimensional periodic lattice.