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Quantitative modeling of superconducting planar resonators with improved field homogeneity for electron spin resonance

Weichselbaumer, S; Natzkin, P; Zollitsch, CW; Weiler, M; Gross, R; Huebl, H; (2019) Quantitative modeling of superconducting planar resonators with improved field homogeneity for electron spin resonance. Physical Review Applied , 12 (2) , Article 024021. 10.1103/PhysRevApplied.12.024021. Green open access

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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 $^\mathrm{nat}$Si demonstrate the feasibility of our resonators for magnetic resonance experiments. We extract the collective coupling rate and find a good agreement with our simulation results, corroborating our model approach. Finally, we discuss specific application cases for the different resonator designs.

Type: Article
Title: Quantitative modeling of superconducting planar resonators with improved field homogeneity for electron spin resonance
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevApplied.12.024021
Publisher version: http://dx.doi.org/10.1103/PhysRevApplied.12.024021
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: cond-mat.mes-hall, cond-mat.mes-hall
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10081469
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