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Abstract: We study the current flow through semiconductor quantum rings. In highmagnetic field the current is usually injected to the arm of the ring preferredby classical magnetic forces. However, for narrow magnetic field intervals thatappear periodically on the magnetic field scale the current is injected to theother arm of the ring. We indicate that the appearance of the anomalous -non-classical - current circulation results from Fano interference involvinglocalized resonant states. The identification of the Fano interference is basedon the comparison of the solution of the scattering problem with the results ofthe stabilization method. The latter employs the bound-state type calculationsand allows to extract both the energy of metastable states localized within thering and the width of resonances by analysis of the energy spectrum of a finitesize system in function of its length. The Fano resonances involving states ofanomalous current circulation become extremely narrow on both magnetic fieldand energy scales. This is consistent with the orientation of the Lorentz forcethat tends to keep the electron within the ring and thus increases the lifetimeof the electron localization within the ring. Absence of periodic Fanoresonances in electron transfer probability through a quantum ring containingan elastic scatterer is also explained.



Autor: M.R. Poniedziałek, B. Szafran

Fuente: https://arxiv.org/







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