Fano‐Andreev and Fano‐Majorana Correspondence in Quantum Dot Hybrid Structures,Annalen Der Physik

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Fano‐Andreev and Fano‐Majorana Correspondence in Quantum Dot Hybrid Structures
Annalen Der Physik ( IF 2.2 ) Pub Date : 2020-03-03 , DOI: 10.1002/andp.201900409
Ana M. Calle ₁ , Mónica Pacheco ₂ , Pedro A. Orellana ₂ , Jorge A. Otálora ₁

Affiliation

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.

中文翻译：

量子点混合结构中的Fano-Andreev和Fano-Majorana对应

证明了不同性质的系统，拓扑量子系统和（常规）非拓扑系统之间的单电子输运性质的对应关系。特别是，介绍了在与超导导线（QD–QD–S）和拓扑超导体环纳米线（QD–MBSs）耦合的T形双量子点系统中获得的Fano共振之间的等价关系。QD-MBSs系统电导中的Fano（反）共振的非零值显示为复杂的Fano因子的结果