Observation of Aharonov-Bohm Superperiod in a Laughlin Quasiparticle Interferometer
arXiv:cond-mat/0504341 · doi:10.1103/PhysRevLett.95.246802
Abstract
We report an Aharonov-Bohm superperiod of five magnetic flux quanta (5h/e) observed in a Laughlin quasiparticle interferometer, where an edge channel of the 1/3 fractional quantum Hall fluid encircles an island of the 2/5 fluid. This result does not violate the auge invariance argument of the Byers-Yang theorem because the magnetic flux, in addition to affecting the Aharonov-Bohm phase of the encircling 1/3 quasiparticles, creates the 2/5 quasiparticles in the island. The superperiod is accordingly understood as imposed by the anyonic statistical interaction of Laughlin quasiparticles.
arXiv commentpublished version
References in corpus (3)
Cited by in corpus (84)
- Symmetry Protected Topological phases of Quantum Matter
- Anyons and the quantum Hall effect - a pedagogical review
- Condensate induced transitions between topologically ordered phases
- Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
- Fractional Quantum Hall Effect in Optical Lattices
- Measurement of filling factor 5/2 quasiparticle interference: observation of charge e/4 and e/2 period oscillations
- Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
- Distinct Signatures For Coulomb Blockade and Aharonov-Bohm Interference in Electronic Fabry-Perot Interferometers
- Theory of the Fabry-Perot Quantum Hall Interferometer
- Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
- The Role of Interactions in an Electronic Fabry-Perot Interferometer Operating in the Quantum Hall Effect Regime
- A theory of topological edges and domain walls
- Influence of Interactions on Flux and Back-gate Period of Quantum Hall Interferometers
- Interferometry of non-Abelian Anyons
- Aharonov-Bohm interference of fractional quantum Hall edge modes
- Probing Non-Abelian Statistics with QuasiParticle Interferometry
- Primary-Filling e/3 Quasiparticle Interferometer
- Edge-State Velocity and Coherence in a Quantum Hall Fabry-Perot Interferometer
- Full electrical control of Charge and Spin conductance through Interferometry of Edge States in Topological Insulators
- Growth of High-Mobility Bi2Te2Se Nanoplatelets on hBN Sheets by van der Waals Epitaxy
- Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2
- Decoherence and interactions in an electronic Mach-Zehnder interferometer
- Simulations of quantum double models
- Parent Hamiltonian for the Chiral Spin Liquid
- Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking
- Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
- Entanglement spectra of complex paired superfluids
- Topologically protected quantum gates for computation with non-Abelian anyons in the Pfaffian quantum Hall state
- Quantum transport in electron Fabry-Perot interferometers
- Anyons in Quantum Hall Interferometry
- Theoretical, numerical, and experimental study of a flying qubit electronic interferometer
- Multiparticle interference in electronic Mach-Zehnder interferometers
- Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics
- Coulomb blockade of anyons
- Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments
- Suppression of interference in quantum Hall Mach-Zehnder geometry by upstream neutral modes
- Aharanov-Bohm interference and fractional statistics in a quantum Hall interferometer
- Spatially-resolved analysis of edge-channel equilibration in quantum Hall circuits
- Mach-Zehnder interferometry of fractional quantum Hall edge states
- Transport in the Laughlin quasiparticle interferometer: Evidence for topological protection in an anyonic qubit
- Proposal for reading out anyon qubits in non-abelian quantum Hall state
- Flux superperiods and periodicity transitions in quantum Hall interferometers
- Decoherence of Anyonic Charge in Interferometry Measurements
- Theory of fractional quantum Hall interferometers
- Ground state and edge excitations of quantum Hall liquid at filling factor 2/3
- Interference measurements of non-Abelian e/4 & Abelian e/2 quasiparticle braiding
- Interacting electrons in the Aharonov-Bohm interferometer
- Superperiods and quantum statistics of Laughlin quasiparticles
- Engineering exotic phases for topologically-protected quantum computation by emulating quantum dimer models
- Observation of quantum Hall interferometer phase jumps due to changing quasiparticle number
- Trapping Abelian anyons in fractional quantum Hall droplets
- Flux period scaling in the Laughlin quasiparticle interferometer
- Preparation of the 1/2-Laughlin state with atoms in a rotating trap
- A quantum Hall Mach-Zehnder interferometer far beyond the equilibrium
- Optical control over bulk excitations in fractional quantum Hall systems
- Quantum Hall Mach-Zehnder interferometer at fractional filling factors
- Universal Periods in Quantum Hall Droplets
- Fractional Coulomb blockade for quasiparticle tunneling between edge channels
- An Interferometry-Free Protocol for Demonstrating Topological Order
- Confinement of fractional quantum Hall states in narrow conducting channels
- Current correlations of Cooper-pair tunneling into a quantum Hall system
- Genetic braid optimization: A heuristic approach to compute quasiparticle braids
- Phase diagram of the -Fock parafermion chain with pair hopping
- Spin Hall Effect For Anyons
- Impact of electron heating on the equilibration between quantum Hall edge channels
- Imaging of double slit interference by scanning gate microscopy
- Magnetoconductance of interacting electrons in quantum wires: Spin density functional theory study
- Superperiods in interference of e/3 Laughlin quasiparticles encircling filling 2/5 fractional quantum Hall island
- Wave function description of conductance mapping for quantum Hall electron interferometer
- Simulation of non-Abelian Anyons using ribbon operators connected to a common base site
- Alternation and interchange of e/4 and e/2 period interference oscillations as evidence for filling factor 5/2 non-Abelian quasiparticles
- Effective field theory and tunneling currents in the fractional quantum Hall effect
- Low-overhead non-Clifford fault-tolerant circuits for all non-chiral abelian topological phases
- Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
- Observation of Collective Coulomb Blockade in a Gate-controlled Linear Quantum-dot Array
- Modified interferometer to measure anyonic braiding statistics
- Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
- Low-field quantum Hall transport in an electron Fabry-Perot interferometer: Determination of constriction filling vs front-gate voltage
- Experimental realization of Laughlin quasiparticle interferometers
- Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
- Non-Abelian anyonic interferometry with a multi-photon spin lattice simulator
- Analysis of Shot Noise at Finite Temperatures in Fractional Quantum Hall Edge States
- Edge mode velocities in the quantum Hall effect from a dc measurement
- SU(m) non-Abelian anyons in the Jain hierarchy of quantum Hall states