Quantitative Modeling of Superconducting Planar Resonators for Electron Spin Resonance
Quantitative Modeling of Superconducting Planar Resonators for Electron Spin Resonance
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DOI：
10.1103/physrevapplied.12.024021
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发表时间：
2018-11
影响因子：
4.6
通讯作者：
S. Weichselbaumer;Petio Natzkin;C. Zollitsch;M. Weiler;R. Gross;H. Huebl
中科院分区：
文献类型：
--
作者：
S. Weichselbaumer;Petio Natzkin;C. Zollitsch;M. Weiler;R. Gross;H. Huebl
提出了三种用于电子自旋共振（ESR）实验的平面超导微波谐振器。通过有限元仿真计算了谐振器的谐振频率和质量因子，以及谐振器的三维微波磁场分布。一种特殊的谐振器设计增加了微波磁场的均匀性，而另两种谐振器则显示出更好的模体积限制。我们扩展了我们的模型模拟，计算了在非均匀磁谐振场存在下自旋综与微波谐振腔之间的集体耦合率。$^\ mathm {nat}$Si中供磷体的连续波ESR实验证明了我们的谐振器用于磁共振实验的可行性。我们提取了集体耦合率，结果与仿真结果吻合较好，验证了我们的模型方法。最后，我们讨论了不同谐振器设计的具体应用案例。
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.