Localisation of excitations by particle-hole scattering in inhomogeneous superconductors

✍ Scribed by C.J. Lambert; V.C. Hui

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 372 KB
• Volume: 165-166
• Category: Article
• ISSN: 0921-4526
• DOI: 10.1016/s0921-4526(09)80139-7

✦ Synopsis

We demonstrate that the quasi-particle excitations of a two dimensional inhomogeneous superconductor may be localised by spatial fluctuations in the order parameter ~(r.). Two models of disorder are introduced. In the first, the magnitude of ~(r.) varies randomly, but the phase is constant. In the second, the phase varies randomly with position, but the magnitude of ~(d is constant. A finite size scaling technique is used to compute the inverse localisation length of long strips of finite width. The results suggest that for a two dimensional superconductor, fluctuations in I~(r.) I can localise excitations, while fluctuations in the phase alone cannot.