Lang-Firsov approaches to polaron physics: From variational methods to unbiased quantum Monte Carlo simulations

Physics – Condensed Matter – Strongly Correlated Electrons

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40 pages, 15 figures, to be published in Polarons in Advanced Materials, Ed. A. S. Alexandrov (Canopus/Springer Publishing, Br

Scientific paper

We review variational and quantum Monte Carlo approaches based on (extended)
Lang-Firsov transformations of the Hamiltonian. Derivations for one, two and
many electrons are given, and results for the Holstein polaron, the
Holstein-Hubbard bipolaron, and the spinless Holstein model at finite carrier
densities are presented.

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