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

TL;DR

This paper explores the electrostatic creation and manipulation of Majorana quasiparticles in a quantum dot--nanoring system, proposing a spectral function calculation method to identify zero-energy Majorana states for quantum computing applications.

Contribution

It introduces a setup for electrostatically inducing Majorana states in a quantum nanoring and proposes an exact spectral function calculation method to analyze these states.

Findings

Majorana states appear as dispersionless zero-energy bands

Electrostatic control enables manipulation of bound states

Spectral function method reveals differences between Andreev and Majorana states

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.