Extended analytical BCS theory of superconductivity in thin films
Abstract
We present an analytically solvable theory of Bardeen-Cooper-Schrieffer-type superconductivity in good metals which are confined along one of the three spatial directions, such as thin films. Closed-form expressions for the dependence of the superconducting critical temperature Tc as a function of the confinement size L are obtained, in quantitative agreement with experimental data with no adjustable parameters. Upon increasing the confinement, a crossover from a spherical Fermi surface, which contains two growing hollow spheres corresponding to states forbidden by confinement, to a strongly deformed Fermi surface, is predicted. This crossover represents a new topological transition, driven by confinement, between two Fermi surfaces belonging to two different homotopy classes. This topological transition provides a mechanistic explanation of the commonly observed non-monotonic dependence of Tc upon film thickness with a maximum which, according to our theory, coincides with the topological transition.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 17, 2023
- Source ID
- 10.1063/5.0132820
Entities
People
- Alessio Zaccone
- Riccardo Travaglino
Organizations
- Army Research Office
- University of Bologna
- University of Milan