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Coulomb interaction has important consequences on the physics of quantum spinHall edge states, weakening the topological protection via two-particlescattering and renormalizing both the velocity and charge of collective plasmonmodes compared to that of free electrons. Despite these effects, interactionsremain difficult to quantify. We propose here simple and robust edge resonatorgeometries to characterize Coulomb interaction by means of high-frequencymeasurements. They rely on a transmission line approach, and take advantage ofthe impedance mismatch between the edge states and their microwave environment.

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