Probing the Antisymmetric Fano Interference Assisted by a Majorana Fermion

Abstract

As the Fano effect is an interference phenomenon where tunneling paths compete for the electronic transport, it becomes a probe to catch fingerprints of Majorana fermions lying on condensed matter systems. In this work we benefit of this mechanism by proposing as a route for that an Aharonov-Bohm-like interferometer composed by 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. By changing the Fermi energy of the leads and the symmetric detuning of the levels for the dots, we show that 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 transmittance as a function of the detuning is half for a semi-infinite wire, while it corresponds to the unity for a finite system. The setup proposed here constitutes an alternative experimental tool to detect Majorana excitations.

arXiv commentFeatured article: cover of the Journal of Applied Physics 116, 17 (2014)

References in corpus (22)

• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Spin-resolved Andreev levels and parity crossings in hybrid superconductor-semiconductor nanostructures
• Tunneling characteristic of a chain of Majorana bound states
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Coherent coupling of two quantum dots embedded in an Aharonov-Bohm ring
• Detecting a Majorana-Fermion Zero Mode Using a Quantum Dot
• Kondo Correlations and the Fano Effect in Closed AB-Interferometers
• Non-Abelian operations on Majorana fermions via single charge control
• Subtle leakage of a Majorana mode into a quantum dot
• Quantum information transfer between topological and spin qubit systems
• Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures
• Probing the existence and dynamics of Majorana fermion via transport through a quantum dot
• Double quantum dots: interdot interactions, co-tunneling, and Kondo resonances without spin
• Correlations between Majorana fermions through a superconductor
• Aharonov-Bohm Oscillations Changed by Indirect Interdot Tunneling via Electrodes in Parallel-Coupled Vertical Double Quantum Dots
• Anomalous interference in Aharonov-Bohm rings with two Majorana bound states
• Even-odd parity effects in Majorana junctions
• Fano interference and a slight fluctuation of the Majorana hallmark

Cited by in corpus (14)

• Fano Resonances in Majorana Bound States - Quantum Dot Hybrid Systems
• Majorana oscillations modulated by Fano interference and dregree of non-locality in a topological superconducting nanowire-quantum dot system
• Topological superconductivity and Majorana states in low-dimensional systems
• Spin-resolved interference due to Majorana state on interface between normal and superconducting leads
• Encrypting Majorana Fermions-qubits as Bound States in the Continuum
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
• Fano effect in Aharonov-Bohm ring with topologically superconducting bridge
• Signatures of the Majorana spin in electrical transport through a Majorana nanowire
• Unveiling Majorana Quasiparticles by a Quantum Phase Transition: Proposal of a Current Switch
• Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States
• Effect of Interdots Electronic Repulsion in the Majorana Signature for a Double Dot Interferometer
• Fano fingerprints of Majoranas in Kitaev dimers of superconducting adatoms
• Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions