Quantitative Modeling of Superconducting Planar Resonators for Electron Spin Resonance
Stefan Weichselbaumer, Petio Natzkin, Christoph W. Zollitsch, Mathias Weiler, Rudolf Gross, Hans Huebl
DOI 10.1103/PhysRevApplied.12.024021 · Physical Review Applied
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Abstract
We present three designs for planar superconducting microwave resonators for electron spin resonance (ESR) experiments. We implement finite-element simulations to calculate the resonance frequency and quality factors as well as the three-dimensional microwave magnetic field distribution of the resonators. One particular resonator design offers an increased homogeneity of the microwave magnetic field while the other two show a better confinement of the mode volume. We extend our model simulations to calculate the collective-coupling rate between a spin ensemble and a microwave resonator in the presence of an inhomogeneous magnetic resonator field. Continuous-wave ESR experiments of phosphorus donors in Sinat demonstrate the feasibility of our resonators for magnetic resonance experiments. We extract the collective-coupling rate and find good agreement with our simulation results, corroborating our model approach. Finally, we discuss specific application cases for the different resonator designs.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| Si:P Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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