Green's and spectral functions of the small Frolich polaron

Details Green's and spectral functions of the small Frolich polaron Green's and spectral functions of the small Frolich polaron

1999-11-23

arxiv.org/abs/cond-mat/9911376v2

Physics

Condensed Matter

Superconductivity

RevTeX, 5 pages, 2 postscript figures, LaTeX processing problems corrected

Scientific paper

10.1209/epl/i2000-00530-3

According to recent Quantum Monte Carlo simulations the small polaron theory is practically exact in a wide range of the long-range (Frohlich) electron-phonon coupling and adiabatic ratio. We apply the Lang-Firsov transformation to convert the strong-coupling term in the Hamiltonian into the form of an effective hopping integral and derive the single-particle Green's function describing propagation of the small Frohlich polaron. One and two dimensional spectral functions are studied by expanding the Green's function perturbatively. Numerical calculations of the spectral functions are produced. Remarkably, the coherent spectral weight (Z) and effective mass (Z') renormalisation exponents are found to be different with Z'>>Z, which can explain a small coherent spectral weight and a relatively moderate mass enhancement in oxides.

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