Dynamic Effective Electron-Electron Interaction in the Vicinity of a Polarizable Molecule

Abstract

A method is described for calculating the effective electron-electron interaction in the vicinity of a polarizable molecule. The technique is applied to a numerical calculation of this interaction for dye molecules which are possible candidates for providing the attractive interaction for the proposed excitonic superconductor. The frequency and spatial dependence of this interaction is calculated, and a useful upper limit is obtained for the strength of the interaction near a single dye. Good agreement is found between the calculated and observed oscillator strengths, which indicates that these methods can provide a useful guide for precise calculations of the coupling strength for any proposed model system.