Characterization of helical Luttinger liquids in microwave stepped-impedance edge resonators

Abstract

Coulomb interaction has important consequences on the physics of quantum spin Hall edge states, weakening the topological protection via two-particle scattering and renormalizing both the velocity and charge of collective plasmon modes compared to that of free electrons. Despite these effects, interactions remain difficult to quantify. We propose here simple and robust edge resonator geometries to characterize Coulomb interaction by means of high-frequency measurements. They rely on a transmission line approach, and take advantage of the impedance mismatch between the edge states and their microwave environment.

8 pages, 5 figures. Accepted for publication in Phys. Rev. Research

References in corpus (13)

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• Nonlocal edge state transport in the quantum spin Hall state
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• AC conductance and non-symmetrized noise at finite frequency in quantum wires and carbon nanotubes
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• Suppression of Gate Screening on Edge Magnetoplasmons by Highly Resistive ZnO Gate

Cited by in corpus (7)

• Fully tunable longitudinal spin-photon interactions in Si and Ge quantum dots
• Hole spin qubits in thin curved quantum wells
• Theory of the microwave impedance microscopy of Chern insulators
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Time-resolved measurement of ambipolar edge magnetoplasmon transport in InAs/InGaSb composite quantum wells
• Propagation, dissipation and breakdown in quantum anomalous Hall edge states probed by microwave edge plasmons
• Observation of edge magnetoplasmon squeezing in a quantum Hall conductor