Superconductor-insulator transition in thin metallic films induced by interface-roughness scattering
A. Gold
Centre d`Elaboration de Matériaux et d`Etudes Structurales (CEMES-CNRS), 31055 Toulouse, France
PACS: 03.75.Kk, 73.50.-h, 74.20.-z, 74.78.Db
Abstract
Disorder due to small random variations of the width L of thin
films leads to scattering for superconducting particles. It is shown for the
first time that this disorder, interface-roughness scattering for bosons,
gives rise to a superconductor-insulator transition, as observed for instance
in amorphous Bi films. We present a model calculation of a disordered
interacting Bose condensate in a quantum well of finite width L. Films with
L<LC are insulating, with LC as the critical width, while films
with L>LC are superconducting. Disorder strongly reduces the critical
temperature TC of the superconducting phase and TC vanishes at
LC. A phenomenological two-fluid model is also discussed.