Transmission Lines and Meta-Materials based on Quantum Hall Plasmonics

Abstract

The characteristic impedance of a microwave transmission line is typically constrained to a value $Z_0$ = 50 $\Omega$, in-part because of the low impedance of free space and the limited range of permittivity and permeability realizable with conventional materials. Here we suggest the possibility of constructing high-impedance transmission lines by exploiting the plasmonic response of edge states associated with the quantum Hall effect in gated devices. We analyze various implementations of quantum Hall transmission lines based on distributed networks and lumped-element circuits, including a detailed account of parasitic capacitance and Coulomb drag effects, which can modify device performance. We additionally conceive of a meta-material structure comprising arrays of quantum Hall droplets and analyze its unusual properties. The realization of such structures holds promise for efficiently wiring-up quantum circuits on chip, as well as engineering strong coupling between semiconductor qubits and microwave photons.

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• Optimal dispersive readout of a spin qubit with a microwave resonator
• Hole spin qubits in thin curved quantum wells
• High-fidelity spin qubit shuttling via large spin-orbit interaction
• Lecture Notes on Quantum Electrical Circuits
• Topological Spin Textures Enabling Quantum Transmission