Fano‐Andreev and Fano‐Majorana Correspondence in Quantum Dot Hybrid Structures. Issue 4 (3rd March 2020)

• Record Type: Journal Article
• Authors: Calle, Ana M.; Pacheco, Mónica; Orellana, Pedro A.; Otálora, Jorge A.
• Is Part Of: Annalen der Physik. Volume 532:Issue 4(2020)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2020-03-03
• Subjects: Andreev reflection -- (anti)fano resonances -- Majorana bound states -- proximity effects -- topological superconductors; Physics -- Periodicals; Chemistry -- Periodicals; 530.05
• DOI: 10.1002/andp.201900409
• Languages: English
• ISSNs: 0003-3804

Abstract

Abstract: A correspondence on the single‐electron transport properties between systems of different nature, a topological quantum system and a (conventional) non‐topological one, is demonstrated. Specifically, the equivalence between the Fano resonances obtained in T‐shaped double quantum dot system coupled to a superconducting lead (QD–QD–S) and a topological superconductor ring nanowire (QD–MBSs) is presented. The non‐zero value of the Fano (anti)resonance in the conductance of the QD‐MBSs systems is shown as a consequence of a complex Fano factor q M, which is equivalent to the complex Fano factor q S of the QD–QD–S. The complex nature of q S is 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 correspondence between the QD–QD–S and the QD–MBSs is possible. It is believed that these results can help to reveal the importance of the Fano interference process toward the understanding of the role of the superconductor lead in the QD–QD–S system as well as giving a clear signature of the presence of MBS's in the topological system. Abstract : A case is presented where the one‐electron transport properties of a topological quantum interferometer and a non‐topological T‐shape quantum dot system are correspondent to each other. The importance of the Fano resonance to demonstrate the correspondence that is mediated by Majorana Bound states in the interferometer and Andreev Bound states in the T‐shape system is shown.