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This research proposes a novel interferometer design specifically for probing directional electron flow in fractional quantum Hall edge states at filling factor ν = 1/m. By achieving cubic sensitivity to tunneling amplitudes, the device offers a precise method to isolate upstream and downstream contributions while testing fundamental causal constraints within edge theory. Such advancements are critical for characterizing non-Abelian anyons and refining our understanding of topological quantum computing platforms.
Quantum Hall Edges Show Directional Response at 1/m Filling
A new interferometer probes directional behavior in fractional Quantum Hall excitations, revealing that upstream current vanishes at filling factor ν = 1/m.
Eugene V. Sukhorukov of the University of Geneva's Department of Physics proposes a new interferometer designed to probe the directional flow of electrons in fractional quantum Hall edge excitations. The device utilizes three quantum point contacts forming a flux-enclosing loop, resulting in an Aharonov-Bohm signal that is cubic in the tunneling amplitudes, a highly unusual sensitivity. For a local Laughlin edge at filling factor ν = 1/m,…
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