Confinement of fractional quantum Hall states in narrow conducting channels

Abstract

Confinement of small-gapped fractional quantum Hall states facilitates quasiparticle manipulation and is an important step towards quasiparticle interference measurements. Demonstrated here is conduction through top gate defined, narrow channels in high density, ultra-high mobility heterostructures. Transport evidence for the persistence of a correlated state at filling fraction 5/3 is shown in channels of 2micron length but gated to near 0.3micron in width. The methods employed to achieve this confinement hold promise for interference devices proposed for studying potential non-Abelian statistics at filling fraction 5/2.

References in corpus (7)

• Quantum Transport in Semiconductor Nanostructures
• An Electronic Mach-Zehnder Interferometer
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
• Exact Quantization of Even-Denominator Fractional Quantum Hall State at $\nu$=5/2 Landau Level Filling Factor
• Observation of Aharonov-Bohm Superperiod in a Laughlin Quasiparticle Interferometer

Cited by in corpus (8)

• Non-Abelian Anyons and Topological Quantum Computation
• Measurement of filling factor 5/2 quasiparticle interference: observation of charge e/4 and e/2 period oscillations
• Magnetic field-tuned Aharonov-Bohm oscillations and evidence for non-Abelian anyons at v=5/2
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Interference measurements of non-Abelian e/4 & Abelian e/2 quasiparticle braiding
• Unified approach to topological quantum computation with anyons: From qubit encoding to Toffoli gate
• Aharonov-Bohm effect and coherence length of charge e/4 quasiparticles at 5/2 filling factor measured in multiple small Fabry-Perot interferometers
• Magnetic field induced resistance properties at filling factor 5/2 consistent with non-Abelian e/4 quasiparticles in multiple sized interferometers