D. Ihle et H. Fehske, UNITARY TRANSFORMATION SCHEME FOR POLARON AND BIPOLARON CORRELATION MODELS, Journal of physics. A, mathematical and general, 28(9), 1995, pp. 275-279
On the basis of the modified Lang-Firsov-transformed Holstein-Hubbard
model, effective polaron and bipolaron models are derived within the u
nified framework of Schrieffer-Wolff-type transformations in the stron
g correlation limit. The resulting polaronic t-J and bipolaronic local
pairing models obtained for large positive and negative on-site inter
actions, respectively, exhibit different renormalizations of the hoppi
ng and interaction terms in the moderately heavy and light polaron and
bipolaron cases.