Megrant, A. et al. Planar superconducting resonators with internal quality factors above one million. Appl. Phys. Lett. 100, 113510 (2012).
Vissers, M. R. et al. Low loss superconducting titanium nitride coplanar waveguide resonators. Appl. Phys. Lett. 97, 232509 (2010).
Kubo, Y. et al. Strong coupling of a spin ensemble to a superconducting resonator. Phys. Rev. Lett. 105, 140502 (2010).
Schuster, D. et al. High-cooperativity coupling of electron-spin ensembles to superconducting cavities. Phys. Rev. Lett. 105, 140501 (2010).
Amsüss, R. et al. Cavity QED with magnetically coupled collective spin states. Phys. Rev. Lett. 107, 060502 (2011).
Astafiev, O. et al. Coherent quantum phase slip. Nature 484, 355–358 (2012).
Peltonen, J. et al. Coherent flux tunneling through nbn nanowires. Phys. Rev. B 88, 220506 (2013).
Mooij, J. & Harmans, C. Phase-slip flux qubits. New J. Phys. 7, 219 (2005).
Mooij, J. & Nazarov, Y. V. Superconducting nanowires as quantum phase-slip junctions. Nat. Phys. 2, 169–172 (2006).
Schuster, D., Fragner, A., Dykman, M., Lyon, S. & Schoelkopf, R. Proposal for manipulating and detecting spin and orbital states of trapped electrons on helium using cavity quantum electrodynamics. Phys. Rev. Lett. 105, 040503 (2010).
Bushev, P. et al. Trapped electron coupled to superconducting devices. Eur. Phys. J. D 63, 9–16 (2011).
Song, C. et al. Microwave response of vortices in superconducting thin films of Re and Al. Phys. Rev. B 79, 174512 (2009).
Bothner, D., Gaber, T., Kemmler, M., Koelle, D. & Kleiner, R. Improving the performance of superconducting microwave resonators in magnetic fields. Appl. Phys. Lett. 98, 102504 (2011).
Bothner, D. et al. Reducing vortex losses in superconducting microwave resonators with microsphere patterned antidot arrays. Appl. Phys. Lett. 100, 012601 (2012).
Bothner, D. et al. Magnetic hysteresis effects in superconducting coplanar microwave resonators. Phys. Rev. B 86, 014517 (2012).
Chiaro, B. et al. Dielectric surface loss in superconducting resonators with flux-trapping holes. Superconductor Sci. Technol. 29, 104006 (2016).
Kroll, J. G. et al. Magnetic-field-resilient superconducting coplanar-waveguide resonators for hybrid circuit quantum electrodynamics experiments. Phys. Rev. Appl. 11, 064053 (2019).
Raes, B. et al. Local mapping of dissipative vortex motion. Phys. Rev. B 86, 064522 (2012).
Nsanzineza, I. & Plourde, B. L. T. Trapping a single vortex and reducing quasiparticles in a superconducting resonator. Phys. Rev. Lett. 113, 117002 (2014).
Song, C., DeFeo, M. P., Yu, K. & Plourde, B. L. Reducing microwave loss in superconducting resonators due to trapped vortices. Appl. Phys. Lett. 95, 232501 (2009).
Bothner, D., Wiedmaier, D., Ferdinand, B., Kleiner, R. & Koelle, D. Improving superconducting resonators in magnetic fields by reduced field focussing and engineered flux screening. Phys. Rev. Appl. 8, 034025 (2017).
Graaf, S. D., Danilov, A., Adamyan, A., Bauch, T. & Kubatkin, S. Magnetic field resilient superconducting fractal resonators for coupling to free spins. J. Appl. Phys. 112, 123905 (2012).
de Graaf, S. E., Davidovikj, D., Adamyan, A., Kubatkin, S. & Danilov, A. Galvanically split superconducting microwave resonators for introducing internal voltage bias. Appl. Phys. Lett. 104, 052601 (2014).
Lange, M., Guénon, S., Lever, F., Kleiner, R. & Koelle, D. A high-resolution combined scanning laser and widefield polarizing microscope for imaging at temperatures from 4 K to 300 K. Rev. Sci. Instruments 88, 123705 (2017).
Ghigo, G. et al. Evidence of rf-driven dendritic vortex avalanches in MgB2 microwave resonators. J. Appl. Phys. 102, 113901 (2007).
Doyle, S., Mauskopf, P., Naylon, J., Porch, A. & Duncombe, C. Lumped element kinetic inductance detectors. J. Low Temp. Phys. 151, 530–536 (2008).
Grabovskij, G. et al. In situ measurement of the permittivity of helium using microwave NbN resonators. Appl. Phys. Lett. 93, 134102 (2008).
Khalil, M. S., Stoutimore, M., Wellstood, F. & Osborn, K. An analysis method for asymmetric resonator transmission applied to superconducting devices. J. Appl. Phys. 111, 054510 (2012).
Probst, S., Song, F., Bushev, P. A., Ustinov, A. V. & Weides, M. Efficient and robust analysis of complex scattering data under noise in microwave resonators. Rev. Sci. Instruments 86, 024706 (2015).
Pozar, D. M. Microwave engineering (John wiley & sons, Hoboken, New Jersey, 2011).
Tinkham, M. Introduction to Superconductivity (Dover Publications, Mineola, NY, 2004), 2 edn.
Annunziata, A. J. et al. Tunable superconducting nanoinductors. Nanotechnology 21, 445202 (2010).
Bonura, M., Agliolo Gallitto, A. & Li Vigni, M. Magnetic hysteresis in the microwave surface resistance of Nb samples in the critical state. Eur. Phys. J. B-Condensed Matter Complex Sys. 53, 315–322 (2006).
Yu, C. X. et al. Magnetic field resilient high kinetic inductance superconducting niobium nitride coplanar waveguide resonators. Appl. Phys. Lett. 118, 054001 (2021).
Lahl, P. & Wordenweber, R. Nonlinear microwave properties of HTS thin film coplanar devices. IEEE Trans. Appl. Supercond. 13, 2917–2920 (2003).
Ghigo, G. et al. Mechanisms limiting the performance of MgB2 polycrystalline thin film microwave resonators. IEEE Trans. Appl. Supercond. 21, 579–582 (2010).
Borisov, K. et al. Superconducting granular aluminum resonators resilient to magnetic fields up to 1 tesla. Appl. Phys. Lett. 117, 120502 (2020).
Olsen, ÅA. F. et al. Avalanches injecting flux into the central hole of a superconducting MgB2 ring. Phys. Rev. B 76, 024510 (2007).
Shvartzberg, J., Shaulov, A. & Yeshurun, Y. Quasiperiodic magnetic flux avalanches in doubly connected superconductors. Phys. Rev. B 100, 184506 (2019).
Jiang, L. et al. Selective triggering of magnetic flux avalanches by an edge indentation. Phys. Rev. B 101, 224505 (2020).
Mints, R. G. & Rakhmanov, A. L. Critical state stability in type-ii superconductors and superconducting-normal-metal composites. Rev. Mod. Phys. 53, 551–592 (1981).
Johansen, T. et al. Reproducible nucleation sites for flux dendrites in MgB2. Surface Sci. 601, 5712–5714 (2007).
Qureishy, T. et al. Dendritic flux avalanches in a superconducting MgB2 tape. Superconduc. Sci. Technol. 30, 125005 (2017).
Brisbois, J. et al. Magnetic flux penetration in Nb superconducting films with lithographically defined microindentations. Phys. Rev. B 93, 054521 (2016).
Brandt, E. H. & Indenbom, M. Type-ii-superconductor strip with current in a perpendicular magnetic field. Phys. Rev. B 48, 12893–12906 (1993).
Zeldov, E., Clem, J. R., McElfresh, M. & Darwin, M. Magnetization and transport currents in thin superconducting films. Phys. Rev. B 49, 9802–9822 (1994).
McDonald, J. & Clem, J. R. Theory of flux penetration into thin films with field-dependent critical current. Phys. Rev. B 53, 8643–8650 (1996).
Motta, M. et al. Visualizing the ac magnetic susceptibility of superconducting films via magneto-optical imaging. Phys. Rev. B 84, 214529 (2011).
Gurevich, A. & Friesen, M. Nonlinear transport current flow in superconductors with planar obstacles. Phys. Rev. B 62, 4004 (2000).
Zeldov, E., Clem, J. R., McElfresh, M. & Darwin, M. Magnetization and transport currents in thin superconducting films. Phys. Rev. B 49, 9802 (1994).
Denisov, D. et al. Onset of dendritic flux avalanches in superconducting films. Phys. Rev. Lett. 97, 077002 (2006).
Samkharadze, N. et al. High-kinetic-inductance superconducting nanowire resonators for circuit QED in a magnetic field. Phys. Rev. Appl. 5, 044004 (2016).
Cerbu, D. et al. Vortex ratchet induced by controlled edge roughness. J. Phys. 15, 063022 (2013).
Menghini, M., Wijngaarden, R., Silhanek, A., Raedts, S. & Moshchalkov, V. Dendritic flux penetration in Pb films with a periodic array of antidots. Phys. Rev. B 71, 104506 (2005).
Motta, M. et al. Controllable morphology of flux avalanches in microstructured superconductors. Phys. Rev. B 89, 134508 (2014).
Ghigo, G. et al. Microwave dissipation in YBCO coplanar resonators with uniform and non-uniform columnar defect distribution. Superconductor Sci. Technol. 17, 977 (2004).
Lee, C.-S., Janko, B., Derenyi, I. & Barabási, A.-L. Reducing vortex density in superconductors using the ‘ratchet effect’. Nature 400, 337–340 (1999).
Dobrovolskiy, O., Begun, E., Bevz, V., Sachser, R. & Huth, M. Upper frequency limits for vortex guiding and ratchet effects. Phys. Rev. Appl. 13, 024012 (2020).
Awad, A. et al. Flux avalanches triggered by microwave depinning of magnetic vortices in Pb superconducting films. Phys. Rev. B 84, 224511 (2011).
Kirby, K. W. Processing of sapphire surfaces for semiconductor device applications (The Pennsylvania State University, The Graduate School, College of Engineering, 2008).
Burton, M. Superconducting nbn-based multilayer and nbtin thin films for the enhancement of srf accelerator cavities Proceedings of SRF2015 (Whistler, BC, Canada, 2015).
Mahashabde, S. et al. Fast Tunable High-$Q$-Factor Superconducting Microwave Resonators. Phys. Rev. Appl. 14, 044040 (2020).
Niepce, D., Burnett, J. J., Latorre, M. G. & Bylander, J. Geometric scaling of two-level-system loss in superconducting resonators. Superconductor Sci. Technol. 33, 025013 (2020).
Koblischka, M. & Wijngaarden, R. Magneto-optical investigations of superconductors. Superconductor Sci. Technol. 8, 199 (1995).
Shaw, G. et al. Quantitative magneto-optical investigation of superconductor/ferromagnet hybrid structures. Rev. Sci. Instrum. 89, 023705 (2018).
Blunt, F., Perry, A., Campbell, A. & Siu, R. An investigation of the appearance of positive magnetic moments on field cooling some superconductors. Physica C: Superconductivity 175, 539–544 (1991).