Detecting coupling of Majorana bound states with an Aharonov-Bohm interferometer

Abstract

We study the transport properties of an interferometer composed by a quantum dot (QD) coupled with two normal leads and two one-dimensional topological superconductor nanowires (TNWs) hosting Majorana bound states (MBS) at their ends. The geometry considered is such that one TNW has both ends connected with the QD, forming an Aharonov-Bohm (AB) interferometer threaded by an external magnetic flux, while the other TNW is placed near the interferometer TNW. This geometry can alternatively be seen as a long wire contacted across a local defect, with possible coupling between independent-MBS. We use the Green's function formalism to calculate the conductance across normal current leads on the QD. We find that the conductance exhibits a half-quantum value regardless of the AB phase and location of the dot energy level, whenever the interferometer configuration interacts with the neighboring TNW. These findings suggest that such a geometry could be used for a sensitive detection of MBS interactions across TNWs, exploiting the high sensitivity of conductance to the AB phase in the interferometer.

arXiv comment9 pages, 6 figures

References in corpus (37)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Exponential Protection of Zero Modes in Majorana Islands
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Tunneling characteristic of a chain of Majorana bound states
• End states and subgap structure in proximity-coupled chains of magnetic adatoms
• Flux-controlled quantum computation with Majorana fermions
• Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
• Two-dimensional epitaxial superconductor-semiconductor heterostructures: A platform for topological superconducting networks
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Detecting a Majorana-Fermion Zero Mode Using a Quantum Dot
• Non-Abelian operations on Majorana fermions via single charge control
• Subtle leakage of a Majorana mode into a quantum dot
• Towards realistic implementations of a Majorana surface code
• Quantum information transfer between topological and spin qubit systems
• Interaction effects on a Majorana zero mode leaking into a quantum dot
• Majorana zero modes on a necklace
• Nonlocal noise cross-correlation mediated by entangled Majorana fermions
• Fingerprints of Majorana bound states in Aharonov Bohm geometry
• Anomalous interference in Aharonov-Bohm rings with two Majorana bound states
• Transport through a quantum dot coupled to two Majorana bound states
• Spin-resolved interference due to Majorana state on interface between normal and superconducting leads
• Decay of bound states in the continuum of Majorana fermions induced by vacuum fluctuations: Proposal of qubit technology
• Andreev and Majorana bound states in single and double quantum dot structures
• Effect of Interdots Electronic Repulsion in the Majorana Signature for a Double Dot Interferometer
• Manipulation of Majorana states in X-junction geometries

Cited by in corpus (8)

• Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes
• Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
• Majorana bound state in the continuum: Coupling between Majorana bound state and quantum dot mediated by continuum
• Manifestation of Majorana modes overlap in the Aharonov-Bohm effect
• Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States
• Magnetic flux induced topological superconductivity in magnetic atomic rings
• Phase-controlled quantum transport signatures in a quantum dot-Majorana hybrid ring system
• Majorana Bound States hallmark in a quantum topological interferometer ring