One-Dimensional Exactly Solvable Model of Polaron

Details One-Dimensional Exactly Solvable Model of Polaron One-Dimensional Exactly Solvable Model of Polaron

2004-11-18

arxiv.org/abs/cond-mat/0411494v1

Physics

Condensed Matter

Other Condensed Matter

8 pages

Scientific paper

Using for unperturbed electron and phonon Hamiltonians a representation by the Jacobi matrices a one-dimensional model of the electron-phonon interaction is constructed. In frame of the model the polaron and scattering spectral bands are calculated explicitly as well as the corresponding states. An explicit formula for the polaron effective mass is derived and the fit of model parameters is suggested. A connection of the model with the description of phonon degrees of freedom for quantum wires is discussed.

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