Bridged-assisted electron transfer. Random matrix theory approach

TL;DR

This paper investigates electron transfer in bridged systems with disordered bridge energies using random matrix theory, analyzing spectral properties via the Wegner model and Blue's function to understand effective coupling.

Contribution

It introduces a novel application of random matrix theory and Blue's function to study spectral properties of disordered electron transfer systems.

Findings

Spectral properties depend on disorder and coupling ratios.

Effective donor/acceptor coupling can be characterized analytically.

The approach provides insights into electron transfer mechanisms in disordered systems.

Abstract

We discuss the effective donor/acceptor coupling for a bridged electron transfer system with a site-diagonal disorder of bridge energies. The average spectral properties of the system are discussed by using the Wegner model (Anderson's type tight-binding Hamiltonian (TBH))for the electronic part of the problem. Spectral properties of the system are discussed using the concept of the functional inverse of the resolvent (``Blue's function'', introduced by Zee) for various limits of noise versus site-site coupling ratio.