Spectral functions of the spinless Holstein model

Details Spectral functions of the spinless Holstein model Spectral functions of the spinless Holstein model

2005-08-30

arxiv.org/abs/cond-mat/0508712v2

J. Phys.: Condens. Matter 18 2453-2472 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

20 pages, 15 figures, final version

Scientific paper

10.1088/0953-8984/18/8/011

An analytical approach to the one-dimensional spinless Holstein model is proposed, which is valid at finite charge-carrier concentrations. Spectral functions of charge carriers are computed on the basis of self-energy calculations. A generalization of the Lang-Firsov canonical transformation method is shown to provide an interpolation scheme between the extreme weak- and strong-coupling cases. The transformation depends on a variationally determined parameterthat characterizes the charge distribution across the polaron volume. The relation between the spectral functions of polarons and electrons, the latter corresponding to the photoemission spectrum, is derived. Particular attention is paid to the distinction between the coherent and incoherent parts of the spectra, and their evolution as a function of band filling and model parameters. Results are discussed and compared with recent numerical calculations for the many-polaron problem.

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