Fano interference in quantum dots assisted by a Majorana férmion

• Grant number: 14/14143-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: September 01, 2014
• End date: December 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Antonio Carlos Ferreira Seridonio
• Grantee: Luciano Henrique Siliano Ricco
• Host 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)

Scientific publications

(9)

(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)

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. (14/14143-0)

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. (14/14143-0)

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. (15/23539-8, 14/14143-0)

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. (14/14143-0)

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, p. 6-pg., 2015-12-07. (14/14143-0)

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, p. 8-pg., 2015-07-09. (14/14143-0)

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. (15/23539-8, 14/14143-0)

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. (14/14143-0)

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, p. 6-pg., 2016-04-14. (14/14143-0, 15/23539-8)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

RICCO, Luciano Henrique Siliano. Antisymmetric Fano interference assisted by a Majorana fermion. 2016. Master's Dissertation - Universidade Estadual Paulista (Unesp). Faculdade de Engenharia. Ilha Solteira Ilha Solteira.