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Bogoliubov de gennes thesis proposal

Within the first three chapters in the thesis I discuss the phenomenon of surface superconductivity. I start by reviewing the introduction of the idea of surface superconductivity inside the phenomenological Ginzburg-Landau theory, along with the framework within the linearized gap equation. I briefly measure the experimental observation of surface superconductivity, i discuss the motivation for going after a much more exact microscopic theory in the phenomenon. Then i present the formalism within the Bogoliubov – de Gennes equations that gives a microscopic description of surface superconductivity in relation to non-interacting quasiparticle states. I measure the techniques that folks helpful for that record work needed to solve the Bogoliubov – de Gennes equations then discuss the outcome inside our calculations. This gives the first fully microscopic theory of surface superconductivity including exact boundary conditions across the superconducting order parameter and Landau level quantization within the electron states. We uncover that surface superconductivity is in line with these microscopic details which have been excluded all previous theoretical work. In addition, the transport characteristics of type -II superconductors are discussed within the flux flow regime near H_. We see the flux-flow Hall effect and thermomagnetic transport near the upper critical field H_ in extreme type-II superconductors beginning with the proper generalization of occasions-dependent Ginzburg -Landau equations. We clearly incorporate the final results of backflow towards the calculation from our electric field and current, which results in a present that’s correctly divergenceless.

Bogoliubov de gennes thesis proposal development of local

The Hall conductivity calculated by using this current concurs along with other mean-field calculations that assume a uniform applied electric field. You have to utilize these leads to calculate the transverse thermomagnetic effects and then we would be the connection between thermal fluctuations and nonlocal elasticity within the flux lattice. We identify the elastic fluctuations within the vortex lattice suppress the conductivities below their mean-field values.

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[Show abstract] [Hide abstract] ABSTRACT: The electronic structure within the superconducting surface sheath within the type-II superconductor in magnetic fields $H_HH_$ is calculated self-consistently when using the Bogoliubov-de Gennes equations. We uncover the pair potential $Delta(x)$ exhibits pronounced Friedel oscillations near the surface, in marked contrast while using the link between Ginzburg-Landau theory. Negligence magnetic edge states is emphasized. The region density of states near the surface shows a substantial depletion near the Fermi energy because of the advancement of local superconducting order. We advise this structure might be unveiled by checking-tunneling microscopy studies performed near the side of the superconducting sample. Comment: 12 pages, Revtex 3., 3 postscript figures appended

Article ยท November 1994

Robert J. Troy Alan T. Dorsey

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