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Sses Superconductor Junctions The Josephson Effect

Posted on:2002-10-10Degree:MasterType:Thesis
Country:ChinaCandidate:X M CuiFull Text:PDF
GTID:2190360032454569Subject:Theoretical Physics
Abstract/Summary:PDF Full Text Request
In this paper, the Josephson effect of SSeS junction is discussed with the extended Jaccobson method, and the relation between current density and phase of the junction is derived under the weak current assumption. Firstly, various types of the junctions and different research methods are introduced. The study on various superconductor junctions, such as SIS, SNS, SINS, 515 11S and SNSINS etc., have been done by predecessors, and applied principally to many realms. Generally, there are two methods in the theoretical study of the Josephson effect, one of which is macroscopic method and the other is microcosmic method, and the former is adopted in this paper. Secondly, the basic equation for Schottky potential hill junction is expounded according to the point of view of Feynman抯 macroscopic quantum mechanics. Simplifying the micro-derived equation of G-L equation derives the equation satisfied out of junction area. Because of the rapid variation of macro-wave function ipi with space in the junction area, the SchrOedinger equation, rather than the G-L equation, must be adopted in this area, and after simplifying, the equation for the junction area is obtained starting from SchrOedinger equation. Then each solution of equation for superconductor junction area and the variation of the total phase ofjunction current in 1-dimension case are studied. The boundary conditions: Rs(,,) = and d~p = 0 are used for solving the equation. On the basis of this, using the conjunction condition on the surface, the relation between the current density and the phase of SSeS junction is derived, which is not the common direct current Josephson relation. Finally, the obtained results are discussed and the application prospects of SSeS and the problems to be sovled are expounded.
Keywords/Search Tags:Superconductor junction, Josephson effect, Ginzburg-Landau equation, Schottky potential hill, direct current Josephson relation
PDF Full Text Request
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