Charge Transfer on a Two-Dimensional Lattice with Impurity Sites

Abstract

The quantum dynamics of charge transfer along a two-dimensional lattice with impurity sites at the lattice edges is considered. These sites simulate the surface (Tamm) states. In the tight-binding approximation, the nonstationary problem of the evolution of quantum excitation along impurity sites at the lattice perimeter is solved. The solution is obtained as an expansion in eigenfunctions of the unperturbed Hamiltonian. Analytical results are obtained for the propagation of the wave function over impurity sites.