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Title: Tuning microwave losses in superconducting resonators

Journal Article · · Superconductor Science and Technology

Abstract The performance of superconducting resonators, particularly cavities for particle accelerators and micro cavities and thin film resonators for quantum computations and photon detectors, has been improved substantially by recent material treatments and technological advances. As a result, the niobium cavities have reached the quality factors Q 10 11 at 1–2 GHz and 1.5 K and the breakdown radio-frequency (rf) fields H close to the dc superheating field of the Meissner state. These advances raise the questions of whether the state-of-the-art cavities are close to the fundamental limits, what these limits actually are, and to what extent the Q and H limits can be pushed by the materials nano structuring and impurity management. These issues are also relevant for many applications using high-Q thin film resonators, including single-photon detectors and quantum circuits. This topical review outlines basic physical mechanisms of the rf nonlinear surface impedance controlled by quasiparticles, dielectric losses and trapped vortices, as well as the dynamic field limit of the Meissner state. Sections cover methods of engineering an optimum quasiparticle density of states and superfluid density to reduce rf losses and kinetic inductance by pairbreaking mechanisms related to magnetic impurities, rf currents, and proximity-coupled metallic layers at the surface. A section focuses on mechanisms of residual surface resistance, which dominates rf losses at ultra low temperatures. Microwave losses of trapped vortices and their reduction by optimizing the concentration of impurities and pinning potential are also discussed.

Sponsoring Organization:
USDOE
Grant/Contract Number:
SC 100387-020
OSTI ID:
1971910
Alternate ID(s):
OSTI ID: 1960316
Journal Information:
Superconductor Science and Technology, Journal Name: Superconductor Science and Technology Vol. 36 Journal Issue: 6; ISSN 0953-2048
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (252)

Effect of inhomogeneous surface disorder on the superheating field of superconducting RF cavities journal August 2019
Quench-Induced Degradation of the Quality Factor in Superconducting Resonators journal April 2016
Effect of geometry on the critical currents of thin films journal January 1994
Towards practical quantum computers: transmon qubit with a lifetime approaching 0.5 milliseconds journal January 2022
X-ray investigation of subsurface interstitial oxygen at Nb/oxide interfaces journal March 2008
Coulomb-induced anomalies in highly disordered superconductors: Application to tunneling journal January 1987
Quasiparticle inelastic lifetimes in disordered superconducting films journal September 1991
Effects of Radiation on Surface Resistance of Superconducting Niobium Cavity journal August 1971
Field-Enhanced Superconductivity in High-Frequency Niobium Accelerating Cavities journal November 2018
Thermally Activated Spontaneous Fluxoid Formation in Superconducting Thin Film Rings journal June 2003
Nonlinearity in the flux-flow behavior of thin-film superconductors journal December 1985
Tuning vortex fluctuations and the resistive transition in superconducting films with a thin overlayer journal July 2018
Magnesium diboride coated bulk niobium: a new approach to higher acceleration gradient journal October 2016
Low temperature laser scanning microscopy of a superconducting radio-frequency cavity journal March 2012
Microwave response of a superconductor beyond the Eliashberg theory journal June 2020
Impact of geometry on flux trapping and the related surface resistance in a superconducting cavity journal December 2020
Local density of states in a dirty normal metal connected to a superconductor journal October 1996
Direct current magnetic Hall probe technique for measurement of field penetration in thin film superconductors for superconducting radio frequency resonators journal May 2022
Effect of low-temperature baking on the radio-frequency properties of niobium superconducting cavities for particle accelerators journal August 2004
Quasiparticle scattering time in niobium superconducting films journal July 2011
Niobium Coating of Cavities Using Cathodic Arc journal June 2009
Vortex jets generated by edge defects in current-carrying superconductor thin strips journal June 2022
Enhancement of lower critical field by reducing the thickness of epitaxial and polycrystalline MgB 2 thin films journal April 2015
Nitrogen-doped 9-cell cavity performance in a test cryomodule for LCLS-II journal January 2015
Analytical solution of Mattis–Bardeen theory for surface impedance of superconductors journal March 1992
Analysis of Nb 3 Sn surface layers for superconducting radio frequency cavity applications journal February 2015
Nitrogen doping and infusion in SRF cavities: A review journal December 2020
Efficient expulsion of magnetic flux in superconducting radiofrequency cavities for high Q 0 applications journal June 2016
The Electrical Resistance of Binary Metallic Mixtures journal July 1952
High-frequency vortex dynamics in journal January 1996
Vortex Avalanches and Magnetic Flux Fragmentation in Superconductors journal July 2001
Speed limit to the Abrikosov lattice in mesoscopic superconductors journal July 2015
Residual surface resistance of polycrystalline superconductors journal March 1991
Influence of hydrogen on superconducting niobium cavities journal November 1980
Direct Measurement of Quasiparticle-Lifetime Broadening in a Strong-Coupled Superconductor journal November 1978
Optical self-energy of superconducting Pb in the terahertz region journal May 2008
The surface impedance of superconductors and normal conductors: The Mattis-Bardeen theory journal October 1991
Study of nanometric superconducting multilayers for RF field screening applications journal March 2013
Vortices in high-performance high-temperature superconductors journal September 2016
Superconducting nanowire single-photon detectors: physics and applications journal April 2012
Surface quality characterization of thin Nb films for superconducting radiofrequency cavities journal June 2022
XPS analysis of the surface composition of niobium for superconducting RF cavities journal April 1998
Magneto-optical studies of current distributions in high- T c superconductors journal April 2002
Development and characterization of Nb3Sn/Al2O3 superconducting multilayers for particle accelerators journal April 2021
Electromagnetic pinning of vortices by non-superconducting defects and their influence on screening journal January 1996
London penetration depth of strongly coupled isotropic superconductors: Low-temperature behavior journal August 1996
Effect of surface defects on the first field for vortex entry in type-II superconductors journal October 2000
High-Frequency Nonlinear Response of Superconducting Cavity-Grade Nb  Surfaces journal June 2019
Superconducting radio-frequency cavities made from medium and low-purity niobium ingots journal April 2016
Limiting thermomagnetic avalanches in superconducting films by stop-holes journal July 2013
Observation of Magnetic Flux Generated Spontaneously During a Rapid Quench of Superconducting Films journal November 2003
Survey of superconductive materials and critical evaluation of selected properties journal July 1976
Vortex Dynamics and Dissipation under High-Amplitude Microwave Drive journal October 2020
Properties of the ideal Ginzburg-Landau vortex lattice journal August 2003
Eliashberg treatment of the microwave conductivity of niobium journal September 1994
Enhancement of rf breakdown field of superconductors by multilayer coating journal January 2006
Nonlinear dynamics of vortices in easy flow channels along grain boundaries in superconductors journal June 2002
Dynamic Vortex Mass in Clean Fermi Superfluids and Superconductors journal November 1998
Theory of RF superconductivity for resonant cavities journal January 2017
Electromagnetic properties of impure superconductors with pair-breaking processes journal July 2017
Evidence of a Nonequilibrium Distribution of Quasiparticles in the Microwave Response of a Superconducting Aluminum Resonator journal January 2014
Imaging of super-fast dynamics and flow instabilities of superconducting vortices journal July 2017
Optimization of tailored multilayer superconductors for RF application and protection against premature vortex penetration journal July 2019
Investigation of the effect of structural defects from hydride precipitation on superconducting properties of high purity SRF cavity Nb using magneto-optical and electron imaging methods journal February 2022
Diamagnetic response of normal-metal–superconductor double layers journal March 1996
Properties of boson-exchange superconductors journal October 1990
The flux-line lattice in superconductors journal November 1995
Observation of quenching-induced magnetic flux trapping using a magnetic field and temperature mapping system journal August 2022
Dynamic pair-breaking current, critical superfluid velocity, and nonlinear electromagnetic response of nonequilibrium superconductors journal September 2020
Localization and Mitigation of Loss in Niobium Superconducting Circuits journal April 2022
Superconductivity in the Neighborhood of Metallic Contacts journal June 1961
Flux vortices and transport currents in type II superconductors journal March 1972
Influence of artificial pinning on vortex lattice instability in superconducting films journal May 2012
Nonlinear Meissner effect in unconventional superconductors journal June 1995
Radio Frequency Magnetic Field Limits of Nb and Nb 3 Sn journal July 2015
Superheating fields of semi-infinite superconductors and layered superconductors in the diffusive limit: structural optimization based on the microscopic theory journal March 2021
Microscopic relaxation channels in materials for superconducting qubits journal July 2021
Coherent Excited States in Superconductors due to a Microwave Field journal July 2016
Free energy and magnetic penetration depth of a d -wave superconductor in the Meissner state journal January 2000
Theory of intermodulation in a superconducting microstrip resonator journal February 1997
Reducing microwave loss in superconducting resonators due to trapped vortices journal December 2009
Electric field spectroscopy of material defects in transmon qubits journal November 2019
Theory of disordered superconductors with applications to nonlinear current response journal February 2022
Effect of Microwaves on Superconductors for Kinetic Inductance Detection and Parametric Amplification journal February 2020
Superconducting Microresonators: Physics and Applications journal March 2012
Relation between normal-state and superconductive properties of niobium sputtered films journal August 1995
Grain boundary segregation in a bronze-route Nb 3 Sn superconducting wire studied by atom probe tomography journal March 2013
Elementary-flux-pinning potential in type-II superconductors journal April 1984
Diamagnetic response of a normal-metal–superconductor proximity system at arbitrary impurity concentration journal December 1998
Critical rf Magnetic Fields for Some Type-I and Type-II Superconductors journal September 1977
Weak to Strong Pinning Crossover journal February 2004
Critical Fields and Currents in Superconductors journal October 1962
Microwave Surface Resistance of Superconducting Niobium journal August 1968
Tunneling study of cavity grade Nb: Possible magnetic scattering at the surface journal May 2008
Superheating Field of Type II Superconductors journal October 1995
Gap fluctuations in inhomogeneous superconductors journal September 2001
Impurity-induced states in conventional and unconventional superconductors journal May 2006
Ultralow Surface Resistance via Vacuum Heat Treatment of Superconducting Radio-Frequency Cavities journal January 2020
Hotspot relaxation time of NbN superconducting nanowire single-photon detectors on various substrates journal January 2018
Evidence of high-field radio-frequency hot spots due to trapped vortices in niobium cavities journal December 2008
Reducing vortex losses in superconducting microwave resonators with microsphere patterned antidot arrays journal January 2012
Observation of intermediate mixed state in high-purity cavity-grade Nb by magneto-optical imaging journal August 2021
Proximity-Coupled Al/Au Bilayer Kinetic Inductance Detectors journal January 2020
Thickness Dependence and Enhancement of $H_{{\rm C}1}$ in Epitaxial $\hbox{MgB}_{2}$ Thin Films journal June 2013
Anomalies in the Magnetic Field Dependence of the Surface Impedance of Superconducting Sn journal December 1967
Theory of rf magnetic permeability of isotropic type-II superconductors in a parallel field journal May 1992
Unstable Flux Flow due to Heated Electrons in Superconducting Films journal September 2002
Quasiclassical Green’s function approach to mesoscopic superconductivity journal May 1999
Challenges and Opportunities for Applications of Unconventional Superconductors journal March 2014
Effect of impurities on the superheating field of type-II superconductors journal February 2012
Thermal effect on the oxides on Nb(100) studied by synchrotron-radiation x-ray photoelectron spectroscopy journal December 2004
Nanosecond voltage pulses from dendritic flux avalanches in superconducting NbN films journal January 2013
The current-phase relation in Josephson junctions journal April 2004
Effect of self-heating on flux flow instability in a superconductor near Tc journal November 1992
Theory of the Anisotropic Energy Gap in Superconducting Lead journal December 1965
Theory of the Anomalous Skin Effect in Normal and Superconducting Metals journal July 1958
Superconducting Radio-Frequency Fundamentals for Particle Accelerators journal January 2012
Proximity-coupled Ti/TiN multilayers for use in kinetic inductance detectors journal June 2013
Magnetic breakdown in a normal-metal–superconductor proximity sandwich journal December 1997
Atomic-scale analyses of Nb 3 Sn on Nb prepared by vapor diffusion for superconducting radiofrequency cavity applications: a correlative study journal December 2018
Dependence of the residual surface resistance of superconducting radio frequency cavities on the cooling dynamics around T c journal May 2014
Percolation and Conduction journal October 1973
Surface impedance of superconductors with magnetic impurities journal July 2012
Nonlinear Meissner effect in Nb3Sn coplanar resonators journal February 2022
Theory of Electromagnetic Properties of Strong-Coupling and Impure Superconductors. II journal April 1967
Studies on thin film MgB2 for applications to RF structures for particle accelerators
  • Tajima, T.; Haberkorn, N. F.; Civale, L.
  • ADVANCES IN CRYOGENIC ENGINEERING: Transactions of the International Cryogenic Materials Conference - ICMC, Volume 58, AIP Conference Proceedings https://doi.org/10.1063/1.4712109
conference January 2012
A broadband superconducting detector suitable for use in large arrays journal October 2003
Two-level states in glasses journal December 1987
Implementation of a Transmon Qubit Using Superconducting Granular Aluminum journal August 2020
Flux expulsion in niobium superconducting radio-frequency cavities of different purity and essential contributions to the flux sensitivity journal February 2020
Applications of low-temperature scanning electron microscopy journal February 1984
Holstein effect in the far-infrared conductivity of high Tc superconductors journal July 1989
Electron mean free path dependence of the vortex surface impedance journal January 2017
Understanding Quality Factor Degradation in Superconducting Niobium Cavities at Low Microwave Field Amplitudes journal December 2017
Superheating in coated niobium journal November 2017
Vortices in high-temperature superconductors journal October 1994
Diffusion of Interstitial Solutes in the Group V Transition Metals journal April 1959
Analysis of high quality superconducting resonators: consequences for TLS properties in amorphous oxides journal March 2016
Two Level System Loss in Superconducting Microwave Resonators journal June 2011
Maximum screening fields of superconducting multilayer structures journal January 2015
Influence of the inelastic electron-phonon scattering on the superconducting surface resistance journal June 1982
Thermal Conductivity of Nb 3 Sn journal January 1964
Proximity electron tunneling spectroscopy journal November 1982
A facility for the characterisation of planar multilayer structures with preliminary niobium results journal July 2022
Decrease of the surface resistance in superconducting niobium resonator cavities by the microwave field journal March 2014
Tunneling Study of SRF Cavity-Grade Niobium journal June 2009
Design of a high speed, high resolution thermometry system for 1.5 GHz superconducting radio frequency cavities journal November 1994
Circuit quantum electrodynamics of granular aluminum resonators journal September 2018
High field Q slope and the baking effect: Review of recent experimental results and new data on Nb heat treatments journal February 2010
Towards understanding two-level-systems in amorphous solids: insights from quantum circuits journal October 2019
Microwave response and surface impedance of weak links journal December 1997
The physics and chemistry of the Schottky barrier height journal January 2014
Electron energy-loss spectroscopy study of metallic Nb and Nb oxides journal December 2011
Nonlinear microwave properties of Nb3Sn sputtered superconducting films journal August 1997
Meissner effect in superconductor-normal metal proximity sandwiches journal February 1982
Thermoelectric effects in the superconducting state journal July 1982
Vortex motion in charged and neutral superfluids: A hydrodynamic approach journal January 1998
Critical fields, Pauli paramagnetic limiting, and material parameters of Nb 3 Sn and V 3 Si journal May 1979
Atom-probe tomography analyses of niobium superconducting RF cavity materials journal July 2006
High-quality Nb3Sn thin films on sapphire prepared by tin vapor diffusion journal November 1997
Effect of grain boundaries on magnetic field penetration in polycrystalline superconductors journal May 1989
Experimental Determination of Correlations Between Spontaneously Formed Vortices in a Superconductor journal April 2011
Artificial pinning centers in (Y, RE)-Ba-Cu-O superconductors: recent progress and future perspective journal February 2020
Understanding mechanism of performance improvement in nitrogen-doped niobium superconducting radio frequency cavity journal September 2022
Effect of LaAlO3 twin-domain topology on local dc and microwave properties of cuprate films journal August 2010
Controlling flux flow dissipation by changing flux pinning in superconducting films journal May 2012
Probing dynamics and pinning of single vortices in superconductors at nanometer scales journal January 2015
Multilayer coating for higher accelerating fields in superconducting radio-frequency cavities: a review of theoretical aspects journal December 2016
In situ noble metal YBa 2 Cu 3 O 7 thin‐film contacts journal January 1993
Critical fields of Nb 3 Sn prepared for superconducting cavities journal May 2019
Circuit quantum electrodynamics journal May 2021
Theoretical estimates of maximum fields in superconducting resonant radio frequency cavities: stability theory, disorder, and laminates journal January 2017
Local flux-flow instability in superconducting films near T c journal May 2019
New material platform for superconducting transmon qubits with coherence times exceeding 0.3 milliseconds journal March 2021
Magnetic Field Dependence of the Surface Impedance of Superconducting Tin journal March 1959
Synthesizing arbitrary quantum states in a superconducting resonator journal May 2009
Magnetic Shielding Larger Than the Lower Critical Field of Niobium in Multilayers journal June 2013
In situ Ag/ YBa 2 Cu 3 O 7 contacts for superconductor–normal-metal–superconductor devices journal October 1992
Imaging transport current distribution in high temperature superconductors using room temperature scanning laser microscope journal October 2002
Aluminium-oxide wires for superconducting high kinetic inductance circuits journal November 2016
Tunneling Density of States for a Superconductor Carrying a Current journal February 1965
Overview of Nonlinearity in HTS: What Learned and Prospects for Improvement journal January 2007
Effects of defects and surface roughness on the vortex penetration and vortex dynamics in superconductor–insulator–superconductor multilayer structures exposed to RF magnetic fields: numerical simulations within TDGL theory journal February 2022
Nonlinear current flow in superconductors with restricted geometries journal January 2001
Dynamic transition of vortices into phase slips and generation of vortex-antivortex pairs in thin film Josephson junctions under dc and ac currents journal June 2017
Vacancy dynamics in niobium and its native oxides and their potential implications for quantum computing and superconducting accelerators journal September 2022
Field-dependent nonlinear surface resistance and its optimization by surface nanostructuring in superconductors journal August 2019
Weak-field dissipative conductivity of a dirty superconductor with Dynes subgap states under a dc bias current up to the depairing current density journal March 2020
Dynamics of vortex penetration, jumpwise instabilities, and nonlinear surface resistance of type-II superconductors in strong rf fields journal March 2008
Vortex Dynamics and Losses Due to Pinning: Dissipation from Trapped Magnetic Flux in Resonant Superconducting Radio-Frequency Cavities journal November 2018
Radio-frequency electromagnetic field and vortex penetration in multilayered superconductors journal January 2014
Hydride precipitation in Nb and some properties of NbH journal September 1976
Nonequilibrium theory of dirty, current-carrying superconductors: phase-slip oscillators in narrow filaments near T c journal March 1981
Chemical compositions at and near the grain boundaries in bronze‐processed superconducting Nb 3 Sn journal October 1983
Campbell Response in Type-II Superconductors under Strong Pinning Conditions journal November 2015
RF surface resistance tuning of superconducting niobium via thermal diffusion of native oxide journal August 2021
Nonlinear dielectric microwave losses in MgO substrates journal February 2002
Ginzburg-Landau Parameters of Type-II Superconductors journal November 1965
Surface Impedance of Type-I Superconductors: Calculation of the Effect of a Static Magnetic Field journal September 1968
Resolving thermoelectric “paradox” in superconductors journal February 2016
Influence of H c 1 on the irreversibility line in YBa 2 Cu 3 O 7 thin films journal September 1993
Nanostructural features degrading the performance of superconducting radio frequency niobium cavities revealed by transmission electron microscopy and electron energy loss spectroscopy journal April 2015
A15 superconductors: An alternative to niobium for RF cavities journal July 2006
In search of the supermassive magnetic monopole journal July 1986
20 Years of experience with the Nb/Cu technology for superconducting cavities and perspectives for future developments journal July 2006
Bi-layer kinetic inductance detectors for space observations between 80–120 GHz journal July 2015
Study of the residual surface resistance of niobium films at 1.5 GHz journal April 2001
Temperature dependence of the critical pair-breaking current in thin-film, strong-coupling superconductors journal May 1991
Temperature dependence of the superheating field for superconductors in the high- κ London limit journal December 2008
Developing a Chemical and Structural Understanding of the Surface Oxide in a Niobium Superconducting Qubit journal September 2022
Impact of nitrogen doping of niobium superconducting cavities on the sensitivity of surface resistance to trapped magnetic flux journal February 2016
Power dissipation at high fields in granular RF superconductivity journal June 1991
Effect of vortex hotspots on the radio-frequency surface resistance of superconductors journal February 2013
Saddle point states in two-dimensional superconducting films biased near the depairing current journal May 2012
Subgap states in disordered superconductors journal September 2013
Superfluid flow in disordered superconductors with Dynes pair-breaking scattering: Depairing current, kinetic inductance, and superheating field journal August 2020
Low temperature scanning electron microscopy of superconducting thin films and Josephson junctions journal July 1994
Reduction of Dissipative Nonlinear Conductivity of Superconductors by Static and Microwave Magnetic Fields journal August 2014
Superconducting materials for large scale applications journal October 2004
Nitrogen and argon doping of niobium for superconducting radio frequency cavities: a pathway to highly efficient accelerating structures journal August 2013
Ac losses in field-cooled type I superconducting cavities journal May 2022
Radio-Frequency Resistance in the Mixed State for Subcritical Currents journal April 1966
Unprecedented quality factors at accelerating gradients up to 45 MVm −1 in niobium superconducting resonators via low temperature nitrogen infusion journal August 2017
Magnetic Field Dependence of the Surface Impedance of Superconducting Tin at 3 kMc/sec journal May 1962
Microwave response of vortices in superconducting thin films of Re and Al journal May 2009
Surface impedance and optimum surface resistance of a superconductor with an imperfect surface journal November 2017
Atomic-scale chemical analyses of niobium oxide/niobium interfaces via atom-probe tomography journal September 2008
The behavior of grain boundaries in the Fe-based superconductors journal November 2011
Superconducting hot-electron bolometer: from the discovery of hot-electron phenomena to practical applications journal December 2015
Surface impedance of superconductors with weak magnetic impurities journal December 2011
Dendritic Flux Avalanches and Nonlocal Electrodynamics in Thin Superconducting Films journal January 2005
Superconducting RF materials other than bulk niobium: a review journal September 2016
Vortex nucleation in superconductors within time-dependent Ginzburg-Landau theory in two and three dimensions: Role of surface defects and material inhomogeneities journal April 2020
AES depth profile measurements of niobium for superconducting cavities journal October 1976
Density of States in a Superconductor Carrying a Supercurrent journal March 2003
Superconducting nanowire single-photon detectors: A perspective on evolution, state-of-the-art, future developments, and applications journal May 2021
Electron energy relaxation in disordered superconducting NbN films journal August 2020
Magnetometric mapping of superconducting RF cavities journal May 2018
Electron Tunneling and X-Ray Photoelectron Spectroscopy Studies of the Superconducting Properties of Nitrogen-Doped Niobium Resonator Cavities journal April 2020
Review of new shapes for higher gradients journal July 2006
Advances in Nb 3 Sn superconducting radiofrequency cavities towards first practical accelerator applications journal January 2021
Ultra-fast vortex motion in a direct-write Nb-C superconductor journal July 2020
Effects of Nonmagnetic Impurities and Subgap States on the Kinetic Inductance, Complex Conductivity, Quality Factor, and Depairing Current Density journal January 2022
Dielectric surface loss in superconducting resonators with flux-trapping holes journal August 2016
Critical state stability in type-II superconductors and superconducting-normal-metal composites journal July 1981
Surface Barrier in Type-II Superconductors journal January 1964
Two-level systems in superconducting quantum devices due to trapped quasiparticles journal December 2020
Characterizing materials for superconducting radiofrequency applications—A comprehensive overview of the quadrupole resonator design and measurement capabilities journal June 2021
Magnetic field sensors for detection of trapped flux in superconducting radio frequency cavities journal October 2021
Microwave Magnetoimpedance of Superconducting Tin journal April 1964
Superheating fields in superconductors journal February 1967
Quasiparticle and phonon lifetimes in superconductors journal December 1976

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