The role of quantum recurrence in superconductivity, carbon nanotubes and related gauge symmetry breaking

Abstract

Pure quantum phenomena are characterized by intrinsic recurrences in space and time. We use such an intrinsic periodicity as a quantization condition to derive the essential phenomenology of superconductivity. The resulting description is based on fundamental quantum dynamics and geometrical considerations, rather than on microscopical characteristics of the superconducting materials. This allows for the interpretation of the related gauge symmetry breaking by means of the competition between quantum recurrence and thermal noise. We also test the validity of this approach to describe the case of carbon nanotubes.