Non-Abelian anyon statistics through AC conductance of a Majorana interferometer
arXiv:2403.03757 · doi:10.1103/PhysRevLett.133.146604
Abstract
Demonstrating the non-Abelian Ising anyon statistics of Majorana zero modes in a physical platform still represents a major open challenge in physics. We here show that the linear low-frequency charge conductance of a Majorana interferometer containing a floating superconducting island can reveal the topological spin of quantum edge vortices. The latter are associated with chiral Majorana fermion edge modes and represent "flying" Ising anyons. We describe possible device implementations and outline how to detect non-Abelian anyon braiding through AC conductance measurements.
arXiv comment11 pages, 6 figures, accepted in Physical Review Letters
References in corpus (44)
- Topological Insulators
- Non-Abelian Anyons and Topological Quantum Computation
- Anyons in an exactly solved model and beyond
- Electrically detected interferometry of Majorana fermions in a topological insulator
- Probing Neutral Majorana Fermion Edge Modes with Charge Transport
- Symmetry Fractionalization, Defects, and Gauging of Topological Phases
- Direct observation of anyonic braiding statistics at the =1/3 fractional quantum Hall state
- From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
- Fractional statistics in anyon collisions
- Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
- Supercurrent in the quantum Hall regime
- InAs-Al Hybrid Devices Passing the Topological Gap Protocol
- Resonant Tunneling Between Quantum Hall Edge States
- Inducing Superconducting Correlation in Quantum Hall Edge States
- Quantum capacitance and density of states of graphene
- Top-transmon: hybrid superconducting qubit for parity-protected quantum computation
- Search for non-Abelian Majorana braiding statistics in superconductors
- Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
- Observing Majorana bound states of Josephson vortices in topological superconductors
- Current Correlations from a Mesoscopic Anyon Collider
- Deterministic creation and braiding of chiral edge vortices
- Simulating the dynamics of braiding of Majorana zero modes using an IBM quantum computer
- Applying voltage sources to a Luttinger liquid with arbitrary transmission
- Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model
- Boundary Conformal Field Theory and Tunneling of Edge Quasiparticles in non-Abelian Topological States
- Non-Abelian Anyon Collider
- Violation of the Wiedemann-Franz law in the Topological Kondo model
- Lindblad equation approach to the optimal working point in nonequilibrium stationary states of an interacting electronic one-dimensional system: Application to the spinless Hubbard chain in the clean and in the weakly disordered limit
- Theory of non-Abelian Fabry-Perot interferometry in topological insulators
- Improved phase gate reliability in systems with neutral Ising anyons
- Dynamical simulation of transport in one-dimensional quantum wires
- Observing and braiding topological Majorana modes on programmable quantum simulators
- Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
- Electrical detection of the Majorana fusion rule for chiral edge vortices in a topological superconductor
- Probing Majorana edge states with a flux qubit
- Anyon statistics through conductance measurements of time-domain interferometry
- Chiral Y junction of quantum spin chains
- Time-resolved electrical detection of chiral edge vortex braiding
- Size Constraints on Majorana Beamsplitter Interferometer: Majorana Coupling and Surface-Bulk Scattering
- Half-integer charge injection by a Josephson junction without excess noise
- Thermal interferometry of anyons
- Signatures of the topological spin of Josephson vortices in topological superconductors
- Microwave response of a chiral Majorana interferometer
- Dynamical simulation of the injection of vortices into a Majorana edge mode