Theory of Polar Corrections to Donor Binding

TL;DR

This paper develops a new theoretical formula for donor binding energy in cubic materials by including long-range polarization and donor-phonon interactions, improving upon previous models.

Contribution

It introduces a comprehensive theory that accounts for previously neglected polarization and phonon effects in calculating donor binding energies.

Findings

New formula for donor binding energy incorporating polarization effects

Quantitative correction to previous Rydberg energy estimates

Enhanced understanding of phonon contributions in donor states

Abstract

We calculate the optical phonon correction to the binding energy of electrons to donors in cubic materials. Previous theories calculated the Rydberg energy reduced by the effective mass and the static dielectric function. They omitted an important energy term from the long-range polarization of the ionized donor, which vanishes for the neutral donor. They also omitted the donor-phonon interaction. Including these terms yields a new formula for the donor binding energy.