Microwave Absorption by a Mesoscopic Quantum Hall Droplet

Abstract

We consider the absorption of microwaves by a quantum Hall droplet. We show that the number and velocities of charged edge modes can be directly measured from a droplet of known shape. In contrast to standard transport measurements, different edge equilibration regimes can be accessed in the same device. If there is a quantum point contact in the droplet, then quasiparticle properties, including braiding statistics, can be observed. Their effects are manifested as modulations of the microwave absorption spectrum that are, notably, first-order in the tunneling amplitude at the point contact.

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• Fractional charge and fractional statistics in the quantum Hall effects
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• Long-range entanglement for spin qubits via quantum Hall edge modes
• Theory of the microwave impedance microscopy of Chern insulators
• Anisotropic Quantum Hall Droplets
• Gate tunable edge magnetoplasmon resonators
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Quantum Hall edges beyond the plasma analogy