Multilayer Josephson Junctions as a Multiple Quantum Well Structure

The macroscopic quantum model in conjunction with the transfer matrix method and Bloch wave analysis have been used to compute the energy dispersion equation for Cooper pairs in finite superconducting quantum well (SQW) structures. The energy dispersion equation has been numerically solved by the Cauchy Integration method to obtain the energy levels of quantum states in SQW. The possibility of energy levels and subbands formation for Cooper pairs within the bulk energy gap has been shown. Energy gap squeezing has been derived when the Bragg condition for Bloch wave number is satisfied.