NANOSCALE SUPERCONDUCTIVITY

Abstract

We deal with the problem of nanoscale superconductivity. Nanoscale superconductivity remains to be one of the most interesting research areas in condensed mater. Recent technology and experiments have fabricated high-quality superconducting MgB 2 nanoparticles. We consider the two-band superconductivity in ultrasmall grains, by extending the Richardson exact solution to two-band systems, and develop the theory of interactions between nano-scale ferromagnetic particles and superconductors. The properties of nano-sized two-gap superconductors and the Kondo effect in superconducting ultrasmall grains are investigated as well. The theory of the Josephson effect is presented, and his application to quantum computing are analyzed.