Quasi-exact solvability of the one-dimensional Holstein model
The one-dimensional Holstein model of spinless fermions interacting with dispersionless phonons is solved by using a Bethe ansatz in analogue to that for the one-dimensional spinless Fermi-Hubbard model. Excitation energies and the corresponding wavefunctions of the model are determined by a set of partial differential equations. It is shown that the model is, at least, quasi-exactly solvable for the two-site case, when the phonon frequency, the electron-phonon coupling strength and the hopping integral satisfy certain relations. As examples, some quasi-exact solutions of the model for the two-site case are derived. © 2006 IOP Publishing Ltd.
Publication Source (Journal or Book title)
Journal of Physics A: Mathematical and General
Pan, F., Dai, L., & Draayer, J. (2006). Quasi-exact solvability of the one-dimensional Holstein model. Journal of Physics A: Mathematical and General, 39 (13) https://doi.org/10.1088/0305-4470/39/13/L02