Quantitative modeling of superconducting planar resonators for electron spin resonance

Stefan Weichselbaumer, Petio Natzkin, Christoph W. Zollitsch, Mathias Weiler, Rudolf Gross, Hans Huebl

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

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.

Original languageEnglish
Article number024021
JournalPhysical Review Applied
Volume12
Issue number2
DOIs
StatePublished - 12 Aug 2019

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