Detecting the Exchange Phase of Majorana Bound States in a Corbino Geometry Topological Josephson Junction

Abstract

A phase from an adiabatic exchange of Majorana bound states (MBS) reveals their exotic anyonic nature. For detecting this exchange phase, we propose an experimental setup consisting of a Corbino-geometry Josephson junction on the surface of a topological insulator, in which two MBS at zero energy can be created and rotated. We find that if a metallic tip is weakly coupled to a point on the junction, the time-averaged differential conductance of the tip-Majorana coupling shows peaks at the tip voltages $eV=\pm (\alpha -2\pi l)\hslash /T_J$, where $\alpha =\pi /2$ is the exchange phase of the two circulating MBS, $T_J$ is the half rotation time of MBS, and $l$ an integer. This result constitutes a clear experimental signature of Majorana fermion exchange.

Published version; 5 pages + supplemental material, 4 figures

References in corpus (15)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana fermions in chains of magnetic atoms on a superconductor
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Spin-resolved Andreev levels and parity crossings in hybrid superconductor-semiconductor nanostructures
• Floquet topological insulators
• Majorana qubit decoherence by quasiparticle poisoning
• Shortcuts to nonabelian braiding
• Anomalous Supercurrent from Majorana States in Topological Insulator Josephson Junctions
• Characterization of thin-film NbN superconductor for single-photon detection by transport measurements
• Tunneling spectrum of a pinned vortex with a robust Majorana state

Cited by in corpus (15)

• Deterministic creation and braiding of chiral edge vortices
• Fano Resonances in Majorana Bound States - Quantum Dot Hybrid Systems
• Observation of a gel of quantum vortices in a superconductor at very low magnetic fields
• Second quantization of Leinaas-Myrheim anyons in one dimension and their relation to the Lieb-Liniger model
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
• Signatures of the Majorana spin in electrical transport through a Majorana nanowire
• Electron-Tunneling-Assisted Non-Abelian Braiding of Rotating Majorana Bound States
• Moving Majorana bound states between distinct helical edges across a quantum point contact
• Vortex control in superconducting Corbino geometry networks
• Voltage-tunable Majorana bound states in time-reversal symmetric bilayer quantum spin Hall hybrid systems
• Rotating Majorana Zero Modes in a disk geometry
• Solitonic Andreev spin qubits from Andreev states in Corbino Josephson junctions
• Emergence of multiple zero modes bound to vortices in extended topological Josephson junctions
• Theory of reentrant superconductivity in Corbino Josephson junctions