Simple exact solutions of one-dimensional finite-chain hard-core Bose-Hubbard and Fermi-Hubbard models

Feng Pan, Liaoning Normal University
J. P. Draayer, Louisiana State University

Abstract

Exact algebraic solutions of a one-dimensional finite-chain hard-core Bose-Hubbard model with nearest-neighbour interactions, which is related to a state-dependent nuclear pairing interaction with a nearest-state interaction approximation, are derived based on a simple algebraic approach. Further extensions to arbitrary spin cases and the corresponding Fermi-Hubbard model are also presented.