Abstract
Mid infrared spectra are obtained by exact calculations of the optical conductivity σ(ω) of a finite size Holstein model. σ(ω) shows a number of peaks corresponding to the bound states of polarons with different number of phonons. It is found that for intermediate coupling the peak in σ(ω) is strongly asymmetric. The optical conductivity of the 2-site model in presence of two electrons is studied. Numerical results show a shift of the peak in σ(ω) to the low energy region with an increasing Hubbard U for strong electron-phonon interaction ( E p > U) whereas the peak moves to high energy region for U > E p . A new peak in high energy region starts to develop in large U limit in the presence of phonons. Significance of these calculations for the experimental observations of the mid infrared spectra of high- T c cuprates is discussed.
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