SIZE-DEPENDENT ELECTRONIC EIGENSTATES OF MULTILAYER ORGANIC QUANTUM-WELLS

A detailed theoretical treatment is given of eigenfunctions and eigene nergies of a multilayer organic quantum well sandwiched between two di fferent dielectric media. The abrupt change of dielectric constants at the interfaces distorts the wave function and results in there being possible surface states in addition to propagating states. The proper boundary conditions are accounted for by the method of image charges. Analytic criteria for the existence of surface states are established using the nearest-layer approximation; they depend not only on the int ralayer and interlayer parameters but also on the number of layers. Th e size dependence together with the dependence on signs and relative m agnitudes of the structure parameters fully determine the energy spect rum of propagating states as well as the number and the location of su rface states.