Theoretical Treatment for Electron Transport throughout Benzene Ring Model

Abstract

In this paper we present our theoretical treatment for electron transport through benzene ring attached to donor and left lead in the left side, while in the right side it is attached to acceptor and right lead. Our treatment is based on the time-dependent Anderson – Newns Hamiltonian. The equations of motion are derived for all subsystems then the steady state is considered to obtain analytical expression for the transmission probability as a function of system energies. The subsystems eigenvalues, the coupling interaction between them as well as the leads band width all are taken into consideration and highlighted. We concluded that the variation of contact's position of the acceptor with the benzene ring may have great effects on the electronic transport properties of molecular devices because of quantum interference.