Equivalence between a topological and non-topological quantum dot - hybrid structures
In this work, we demonstrate an equivalence on the single-electron transport properties between systems of different nature, a topological quantum system and a (conventional) non-topological one. Our results predicts that the Fano resonances obtained in a T-shaped double quantum dot system coupled t...
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Published in | arXiv.org |
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Main Authors | , , , |
Format | Paper |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
28.02.2019
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Subjects | |
Online Access | Get full text |
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Summary: | In this work, we demonstrate an equivalence on the single-electron transport properties between systems of different nature, a topological quantum system and a (conventional) non-topological one. Our results predicts that the Fano resonances obtained in a T-shaped double quantum dot system coupled to two normal leads and one superconducting lead (QD-QD-S) are identical to the obtained in a ring system composed of a quantum dot coupled to two Majorana bound states confined at the ends of a one dimensional topological superconductor nanowire (QD-MBSs). We show that the non-zero value of the Fano (anti)resonance in the conductance of the QD-MBSs systems is due to a complex Fano factor qM , which is identical to the complex Fano factor qS of the QD-QD-S. The complex nature of qS can be understood as a sign of a phase introduced by the superconducting lead in the QD-QD-S. It is because of this phase that the equivalence between the QD-QD-S and the QD-MBSs is possible. We believe that our results can motivate further theoretical and experimental works toward the understanding of transport properties of topological quantum hybrid structures from conventional non-topological quantum systems. |
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ISSN: | 2331-8422 |