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Antisymmetric Fano interference assisted by a Majorana fermion

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Author(s):
Luciano Henrique Siliano Ricco
Total Authors: 1
Document type: Master's Dissertation
Press: Ilha Solteira. 2016-03-04.
Institution: Universidade Estadual Paulista (Unesp). Faculdade de Engenharia. Ilha Solteira
Defense date:
Advisor: Antonio Carlos Ferreira Seridonio
Abstract

We investigate theoretically a setup composed by an Aharonov-Bohm-like interferometer with two quantum dots, where one of them is coupled to a Kitaev wire within the topological phase, which is explored in two cases: (i) the interdot Coulomb correlation is disregarded (noninteracting case) and (ii) the same is taken into account (interacting case). In the situation (i), we verify the presence of the zero-bias anomaly for the both Fano regimes of interference adopted. Furthermore, we found that an isolated Majorana state has a particular way of breaking the symmetry in transmittance profiles, which can be accessed experimentally by performing electrical conductance measurements. In the situation (ii), for interacting quantum dots in resonance, we notice that the ratio between the Coulomb repulsion strength and the wire-dot coupling changes the width of the zero-bias peak for both Fano regimes analyzed. This feature suggests that the electronic correlation modifies the Majorana state lifetime in the dot directly coupled to the wire. Moreover, for the off-resonance situation, the swap between the energy levels of the dots also changes the width of the Majorana peak, which is not observed in the noninteracting case. The results obtained here can guide experimentalists that pursuit a way of revealing Majorana signatures. (AU)

FAPESP's process: 14/14143-0 - Fano interference in quantum dots assisted by a Majorana férmion
Grantee:Luciano Henrique Siliano Ricco
Support Opportunities: Scholarships in Brazil - Master