Abstract
An analytical approach to the one-dimensional spinless Holstein model is proposed, whichis valid at finite charge-carrier concentrations. Spectral functions of charge carriers arecomputed on the basis of self-energy calculations. A generalization of the Lang–Firsovcanonical transformation method is shown to provide an interpolation scheme between theextreme weak-coupling and strong-coupling cases. The transformation depends on avariationally determined parameter that characterizes the charge distribution across thepolaron volume. The relation between the spectral functions of the polaron and electron,the latter corresponding to the photoemission spectrum, is derived. Particular attention ispaid to the distinction between the coherent and incoherent parts of the spectra, and theirevolution as a function of band filling and model parameters. Results are discussedand compared with recent numerical calculations for the many-polaron problem.
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