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Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure

Research paper by Aksel Kobiałka, Andrzej Ptok

Indexed on: 24 Jan '18Published on: 24 Jan '18Published in: arXiv - Physics - Mesoscopic Systems and Quantum Hall Effect



Abstract

Zero--energy Majorana quasiparticles can be induced at the edge of a low dimensional systems. Non--Abelian statistics of this state makes it a good candidate for the realization of quantum computing. From the practical point of view, it is crucial to obtain an intentional creation and manipulation of this type of bound states. Here, we show such a possibility in a setup of quantum nanoring in which we specify a quantum dot region via electrostatic means. States in such quantum dot can lead to the emergence of Andreev and Majorana bound states in investigated system. We study the differences between those bound states and the possibility of their manipulation. Moreover, exact calculation method for spectral function has been proposed, which can be used to discuss the bound states influence on band structure of proposed system. Using this method, it can be shown that the Majorana bound states, induced at the edge of the system, present themselves as a dispersionless zero--energy band.