%0 Journal Article %T Franck-Condon Factors as Spectral Probes of Polaron Structure %A David W. Brown %A Aldo H. Romero %A Katja Lindenberg %J Physics %D 1999 %I arXiv %X We apply the Merrifield variational method to the Holstein molecular crystal model in D dimensions to compute non-adiabatic polaron band energies and Franck-Condon factors at general crystal momenta. We analyze these observable properties to extract characteristic features related to polaron self-trapping and potential experimental signatures. These results are combined with others obtained by the Global-Local variational method in 1D to construct a polaron phase diagram encompassing all degrees of adiabaticity and all electron-phonon coupling strengths. The polaron phase diagram so constructed includes disjoint regimes occupied by "small" polarons, "large" polarons, and a newly-defined class of "compact" polarons, all mutually separated by an intermediate regime occupied by transitional structures. %U http://arxiv.org/abs/cond-mat/9906238v1