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Green's and spectral functions of the small Frohlich polaron

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posted on 05.04.2006 by A.S. Alexandrov, Chanun Sricheewin
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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  • Science

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  • Physics

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150230 bytes

Publication date

1999

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This is a pre-print. It is also available at: http://arxiv.org/abs/cond-mat/9911376.

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en

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