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National Repository of Grey Literature 1 records found  Search took 0.00 seconds. 
Supercurrent in nanoscale devices. Mean-field theory
 Urban, Vladimír ; Janiš, Václav (advisor) ; Novotný, Tomáš (referee)
The bachelor thesis deals with the influence of the magnetic field on the discrete states of the Josephson junction and the influence of the continuous states on the behaviour of a single-level quantum dot with electron correlation coupled to BCS superconductors. We calculated the interaction of electrons within the theory of the mean-field. The thesis has two parts, theoretical and practical. In the theoretical part we discuss the physics of the problem, introduce a model and method of solution using Green's functions. In the practical part we present numerical results. The quantum dot was first studied in a non- interacting case with an external magnetic field and later with the interaction between electrons. We solved the interacting case for half-filling and depending on the energy level of the impurity. We found that one discrete state of the Josephson junction can pass into a band in a spin-polarized solution if the phase difference between the superconducting leads is zero. We characterized the individual contributions to the superconducting current and explained why the established density of Cooper pairs on the impurity can be negative. 1
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3 Urban, Vratislav
6 Urban, Václav
1 Urban, Vít
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