Manypolaron system in the Fractional Dimensional Space within Plasmon Pole Approximatiion

TL;DR

This paper investigates how polaron binding energy and effective mass are affected by carrier density and system dimensionality using a fractional-dimensional approach with plasmon pole approximation, incorporating screening effects.

Contribution

It introduces a fractional-dimensional model to analyze polaron properties considering static and dynamic screening effects with the Hubbard local field factor.

Findings

Polaronic properties decrease as carrier density increases.

Higher dimensionality leads to reduced polaron binding energy and effective mass.

Screening effects significantly influence polaron characteristics.

Abstract

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.