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Fano interference in quantum dots assisted by a Majorana férmion

Grant number: 14/14143-0
Support type:Scholarships in Brazil - Master
Effective date (Start): September 01, 2014
Effective date (End): December 31, 2015
Field of knowledge:Physical Sciences and Mathematics - Physics
Cooperation agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Antonio Carlos Ferreira Seridonio
Grantee:Luciano Henrique Siliano Ricco
Home Institution: Faculdade de Engenharia (FEIS). Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Ilha Solteira , SP, Brazil

Abstract

In this project we want to explore theoretically a setup capable to detect the antisymmetric Fano interference assisted by a Majorana fermion. To this end, an Aharonov-Bohm-like interferometer is adopted with two quantum dots, being one of them coupled to a Majorana bound state, which is attached to one of the edges of a semi-infinite Kitaev wire within the topological phase. Our preliminary simulations reveal for the case without Coulomb interaction that by changing the Fermi energy of the leads and the antisymmetric detuning of the dot levels, opposing Fano regimes result in a transmittance characterized by distinct conducting and insulating regions, which are fingerprints of an isolated Majorana quasiparticle. Furthermore, we show that the maximum fluctuation of the transmittanceas a function of the detuning is half for a semi-infinite wire, while it corresponds to the unity for a finite system. Our findings revealthat two Majorana fermions far apart are coupled and a nonlocal Dirac fermion is formed in the Kitaev wire. The student will answer duringthe development of this project how this scenario changes in the presence of the Coulomb term in the system Hamiltonian. We believe that our findings should be of interest to the community of researchers, both experimentalists and theorists, working in the quest of Majorana quasiparticles, in particular in the fields of quantum transport and computing. (AU)

Articles published in Agência FAPESP about the scholarship:
Brazilian physicists propose an experimental model for detecting the Majorana fermion 

Scientific publications (6)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
DESSOTTI, F. A.; RICCO, L. S.; MARQUES, Y.; MACHADO, R. S.; GUESSI, L. H.; FIGUEIRA, M. S.; DE SOUZA, M.; SERIDONIO, A. C. Fano fingerprints of Majoranas in Kitaev dimers of superconducting adatoms. PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, v. 83, p. 297-305, SEP 2016. Web of Science Citations: 2.
RICCO, L. S.; MARQUES, Y.; DESSOTTI, F. A.; MACHADO, R. S.; DE SOUZA, M.; SERIDONIO, A. C. Decay of bound states in the continuum of Majorana fermions induced by vacuum fluctuations: Proposal of qubit technology. Physical Review B, v. 93, n. 16 APR 14 2016. Web of Science Citations: 11.
RICCO, L. S.; MARQUES, Y.; DESSOTTI, F. A.; DE SOUZA, M.; SERIDONIO, A. C. Effect of interdots electronic repulsion in the Majorana signature for a double dot interferometer. PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, v. 78, p. 25-30, APR 2016. Web of Science Citations: 2.
GUESSI, L. H.; MARQUES, Y.; MACHADO, R. S.; KRISTINSSON, K.; RICCO, L. S.; SHELYKH, I. A.; FIGUEIRA, M. S.; DE SOUZA, M.; SERIDONIO, A. C. Quantum phase transition triggering magnetic bound states in the continuum in graphene. Physical Review B, v. 92, n. 24 DEC 7 2015. Web of Science Citations: 6.
GUESSI, L. H.; MACHADO, R. S.; MARQUES, Y.; RICCO, S.; KRISTINSSON, K.; YOSHIDA, M.; SHELYKH, I. A.; DE SOUZA, M.; SERIDONIO, A. C. Catching the bound states in the continuum of a phantom atom in graphene. Physical Review B, v. 92, n. 4 JUL 9 2015. Web of Science Citations: 9.
DESSOTTI, F. A.; RICCO, L. S.; DE SOUZA, M.; SOUZA, F. M.; SERIDONIO, A. C. Probing the antisymmetric Fano interference assisted by a Majorana fermion. Journal of Applied Physics, v. 116, n. 17 NOV 7 2014. Web of Science Citations: 10.
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
RICCO, Luciano Henrique Siliano. Interferência Fano antissimétrica assistida por um férmion de Majorana. 2016. 103 f. Master's Dissertation - Universidade Estadual Paulista "Júlio de Mesquita Filho" Faculdade de Engenharia (Campus de Ilha Solteira)..

Please report errors in scientific publications list by writing to: cdi@fapesp.br.