|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Quasiclassical theory of superconductivity: a multiple interface geometry(II) | | A. Shelankov
; M. Ozana
; | | Date: |
16 Jul 1999 | | Journal: | Phys.Rev.B 61 (2000),7077-7100 | | Subject: | Superconductivity; Mesoscopic Systems and Quantum Hall Effect | cond-mat.supr-con cond-mat.mes-hall | | Abstract: | A new method which allows one to study multiple coherent reflection/transmissions by partially transparent interfaces, (e.g., in multi-layer mesoscopic structures or grain boundaries in high-Tc’s), in the framework of the quasiclassical theory of superconductivity is suggested. It is argued that in the presence of interfaces, a straight-line trajectory transforms to a simple connected 1-dimensional tree (graph) with knots, i.e. the points where the interface scattering events occur and pieces of the trajectories are coupled. For the 2-component trajectory "wave function" which factorizes the matrix Gor’kov Green’s function, a linear boundary condition on the knot is formulated for an arbitrary interface, specular or diffusive (in the many channel model). From the new boundary condition, we derive: (i) the excitation scattering amplitude for the multi-channel Andreev/ordinary reflection/transmission processes; (ii) the boundary conditions for the Riccati equation; (iii) the transfer matrix which couples the trajectory Green’s function before and after the interface scattering. To show the usage of the method, the cases of a film separated from a bulk superconductor by a partially transparent interface, and a SIS’ sandwich with finite thickness layers, are considered. The electric current response to the vector potential (the superfluid density $
ho_s$) with the $pi $ phase difference in S and S’ is calculated for the sandwich. It is shown that the model is very sensitive to imperfection of the SS’ interface: the low temperature response being paramagnetic ($
ho_s <0$) in the ideal system case, changes its sign and becomes diamagnetic ($
ho_s > 0$) when the probability of reflection is as low as a few percent. | | Source: | arXiv, cond-mat/9907230 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER