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 (1)

• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State

Cited by in corpus (4)

• Non-Abelian Anyons and Topological Quantum Computation
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• 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