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Manypolaron system in the Fractional Dimensional Space within Plasmon Pole Approximatiion

The polaron binding energy and effective mass in a degenerate polar gas is calculated in the fractional-dimensional approach under plasmon pole approximation.The effect of carrier densities on the static and dynamic screening correction of the electron-phonon interaction and electron-electron interaction to the polaronic propertis is calculated from electron self-energies within the second-order perturbation method. The Hubbard local field factor has been used for the static screening correction in the polaronic properties. We found that polaronic properties decrease with increase with carrier density and dimensionality of the system.