Role of the dissipative organic matrix in the two-electron transfer in the dimer nanocluster

Abstract

The influence of dissipative environment, such as a weak structured organic matrix, on the electron transfer kinetics in the dimer nanocluster with two electrons is theoretically investigated. The theoretical model within a stochastic approach is formulated as minimal. For this aim, Redfield’s theory for the reduced density matrix is used, and then Haken-Strobl approximation is performed. For the dimer nanocluster the model “two centers – two electrons” is considered with using Hubbard’s Hamiltonian. Thereby, the electron correlation is taken into account. It was found that the ifference in the electron populations on the dimer nanocluster centers has an oscillatory time dependence with a beats, which is damping due to the influence of a dissipative environment. This shows that a dissipative environment leads to the relaxation in the nano-system studied here, so that the periodical switching of nanodimer between the states with the opposite directions of its dipole moment is dumped. Eventually, the dimer nanocluster relaxes from an initial state with two electrons on one center to the final state with a uniform distribution of electrons on the centers. It is shown how the process of switching is modified for the different values of the nanodimer parameters at given value of the dissipation parameter. The presence of the different switching regimes in the considered nano-system is interesting for various device applications due to the ability to control the state of such nano-system by action of the external electric and magnetic fields.