COOPER PAIRING IN MULTILAYER POLAR STRUCTURES

The Hamiltonian of the electron-phonon interaction with polar optical vibrations in multilayer structures is used to derive a Hamiltonian th at describes, through the introduction of unitary transformations of B ogolyubov type, the formation of pairs of electrons with opposite spin s and 2D wave vectors. The distribution function for the considered sy stems is derived using Zubarev's nonequilibrium statistical operator m ethod. An evolution equation is obtained for the distribution function , and under certain simplifying assumptions an integral equation for t he superconducting energy gap is obtained. The parameters of rome stru ctures are used in a numerical investigation of the temperature depend ence of the gap for different thicknesses of the conducting layer. It is shown that some of the structures may be candidates for high-temper ature superconductors.