2020
DOI: 10.1103/physrevresearch.2.043383
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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 approac… Show more

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Cited by 8 publications
(3 citation statements)
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“…Moreover, resonators with a higher characteristic impedance, approaching the resistance quantum 25 kΩ, could also be conceived e.g. by using carbon nanotubes [88][89][90] or quantum Hall edge states [91][92][93][94], further enhancing the coupling strength. The latter approach is particularly appealing for our system, because in Ge/SiGe heterostructures well-developed quantum Hall plateaus have been recently observed at magnetic fields below 1 T [95].…”
Section: Strong Spin-photon Couplingmentioning
confidence: 99%
“…Moreover, resonators with a higher characteristic impedance, approaching the resistance quantum 25 kΩ, could also be conceived e.g. by using carbon nanotubes [88][89][90] or quantum Hall edge states [91][92][93][94], further enhancing the coupling strength. The latter approach is particularly appealing for our system, because in Ge/SiGe heterostructures well-developed quantum Hall plateaus have been recently observed at magnetic fields below 1 T [95].…”
Section: Strong Spin-photon Couplingmentioning
confidence: 99%
“…tightly squeezed dots [13], or by increasing the resonators impedance, either in superconducting platforms [83][84][85][86] or in carbon nanotubes [87][88][89] and quantum Hall materials [61,67,90,91], where Z r ≈ 25 kΩ. Also, importantly, γ L is independent of the amplitude of B, but depends quadratically on ω r ; see Eq.…”
mentioning
confidence: 99%
“…These interactions are enhanced by modifying the quantum dot, e.g. using lightly strained materials and tightly squeezed dots [13], or by increasing the resonators impedance, either in superconducting platforms [76][77][78][79] or in carbon nanotubes [80][81][82] and quantum Hall materials [55,60,83,84], where Z r ≈ 25 kΩ. Also, importantly, γ γ γ L depends quadratically on the resonator frequency, see Eq.…”
mentioning
confidence: 99%