Suppression of interference in quantum Hall Mach-Zehnder geometry by upstream neutral modes

Abstract

Mach-Zehnder interferometry has been proposed as a probe for detecting the statistics of anyonic quasiparticles in fractional quantum Hall (FQH) states. Here we focus on interferometers made of multimode edge states with upstream modes. We find that the interference visibility is suppressed due to downstream-upstream mode entanglement; the latter serves as a "which path" detector to the downstream interfering trajectories. Our analysis tackles a concrete realization of filling factor 2/3, but its applicability goes beyond that specific case, and encompasses the recent observation of ubiquitous emergence of upstream neutral modes in FQH states. The latter, according to our analysis, goes hand in hand with the failure to observe Mach-Zehnder anyonic interference in fractional states. We point out how charge-neutral mode disentanglement will resuscitate the interference signal.

12 pages, 4 figures; v2: published version

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• Coulomb blockade with neutral modes
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Cited by in corpus (26)

• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Aharonov-Bohm interference of fractional quantum Hall edge modes
• Transport in a disordered $\nu =2/3$ fractional quantum Hall junction
• Melting of interference in the fractional quantum Hall effect: Appearance of neutral modes
• Incoherent transport on the $\nu =2/3$ quantum Hall edge
• Anyonic interference and braiding phase in a Mach-Zehnder Interferometer
• Optimal quantum interference thermoelectric heat engine with edge states
• Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers
• Anyons in Quantum Hall Interferometry
• Fractional Edge Reconstruction in Integer Quantum Hall Phases
• Conductance plateaus and shot noise in fractional quantum Hall point contacts
• Does shot noise always provide the quasiparticle charge?
• Half-integer conductance plateau at the $\nu =2/3$ fractional quantum Hall state in a quantum point contact
• Two-particle time-domain interferometry in the Fractional Quantum Hall Effect regime
• Absence of edge reconstruction for quantum Hall edge channels in graphene devices
• Optimization of edge state velocity in the integer quantum Hall regime
• Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases
• Weak-measurement-induced phases and dephasing: broken symmetry of the geometric phase
• Superconducting correlations out of repulsive interactions on a fractional quantum Hall edge
• Dissipation and dephasing in quantum Hall interferometers
• Edge Reconstruction and Emergent Neutral Modes in Integer and Fractional Quantum Hall Phases
• Landscapes of an out-of-equilibrium anyonic sea
• Thermoelectric property of a one dimensional channel in the presence of a transverse magnetic field
• Can Majorana zero modes in quantum Hall edges survive edge reconstruction?
• Elevated Hall Responses as Indicators of Edge Reconstruction
• Superconductivity of neutral modes in quantum Hall edges