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Surface Induced Anomalous Superconductivity | Herman J. Fink
; Stephen B. Haley
; | Date: |
7 Mar 2003 | Subject: | Superconductivity | cond-mat.supr-con | Abstract: | The Ginzburg-Landau (GL) theory is recast using a Hamiltonian involving the complete kinetic energy density which requires that the surface energy must contain a term
abla |psi|^2 to support superconducting (SC) states. The GL equations contain two temperature, t, dependent parameters alpha(t) and eta(t), which are respectively the coefficients of the SC pair density propto |psi|^2, and the pair interaction term propto |psi|^4 in the free energy density. The sign of these parameters, which define distinct solution classes, and the ratio s(t) = sqrt{|alpha|/|eta|} are governed by the characteristics of the surface energy density. In addition to the conventional bulk superconducting states with (alpha < 0, eta > 0), anomalous superconducting states exist for all other sign combinations, including cases with eta < 0 which may exist only when surface pair interactions are significant. All possible solutions of our generalized nonlinear, one dimensional GL equations are found analytically and applied to a thin superconducting slab which manifests the possibility of states exhibiting enhanced, diminished, and pre-wetting superconductivity. Critical currents are determined as functions of s(t) and surface parameters. The results are applied to critical current experiments on SNS systems. | Source: | arXiv, cond-mat/0303121 | Services: | Forum | Review | PDF | Favorites |
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