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Title: Vortex Dynamics and Losses Due to Pinning: Dissipation from Trapped Magnetic Flux in Resonant Superconducting Radio-Frequency Cavities

Journal Article · · Physical Review Applied

We use a model of vortex dynamics and collective weak-pinning theory to study the residual dissipation due to trapped magnetic flux in a dirty superconductor. Using simple estimates, approximate analytical calculations, and numerical simulations, we make predictions and comparisons with experiments performed in CERN and Cornell on resonant superconducting radio-frequency NbCu, doped-Nb and Nb3Sn cavities. We invoke hysteretic losses originating in a rugged pinning potential landscape to explain the linear behavior of the sensitivity of the residual resistance to trapped magnetic flux as a function of the amplitude of the radio-frequency field. Our calculations also predict and describe the crossover from hysteretic-dominated to viscous-dominated regimes of dissipation. We propose simple formulas describing power losses and crossover behavior, which can be used to guide the tuning of material parameters to optimize cavity performance.

Research Organization:
Cornell Univ., Ithaca, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0008431
OSTI ID:
1483458
Alternate ID(s):
OSTI ID: 1611051
Journal Information:
Physical Review Applied, Journal Name: Physical Review Applied Vol. 10 Journal Issue: 5; ISSN 2331-7019
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 19 works
Citation information provided by
Web of Science

References (37)

Collective transport in random media: from superconductors to earthquakes journal July 1998
Experimental Evidence for Three Universality Classes for Reaction Fronts in Disordered Flows journal June 2015
The interaction distance between flux lines and pinning centres journal December 1971
Nitrogen and argon doping of niobium for superconducting radio frequency cavities: a pathway to highly efficient accelerating structures journal August 2013
Radio-Frequency Resistance in the Mixed State for Subcritical Currents journal April 1966
Influence des défauts étendus sur les propriétés supraconductrices du niobium journal January 1968
The flux-line lattice in superconductors journal November 1995
Crackling noise journal March 2001
Ultra-high quality factors in superconducting niobium cavities in ambient magnetic fields up to 190 mG journal December 2014
Electron mean free path dependence of the vortex surface impedance journal January 2017
Radio Frequency Magnetic Field Limits of Nb and Nb 3 Sn journal July 2015
Vortices in high-temperature superconductors journal October 1994
Proof-of-principle demonstration of Nb 3 Sn superconducting radiofrequency cavities for high Q 0 applications journal February 2015
Magnetization of Hard Superconductors journal March 1962
Frequency dependence of trapped flux sensitivity in SRF cavities journal February 2018
Superconducting Penetration Depth of Niobium journal August 1965
Nb 3 Sn superconducting radiofrequency cavities: fabrication, results, properties, and prospects journal January 2017
Theoretical estimates of maximum fields in superconducting resonant radio frequency cavities: stability theory, disorder, and laminates journal January 2017
The importance of the electron mean free path for superconducting radio-frequency cavities journal January 2017
Pinning in type II superconductors journal February 1979
Post-accelerated beams at ISOLDE journal June 2017
A review of the properties of Nb 3 Sn and their variation with A15 composition, morphology and strain state journal June 2006
Critical current density and stability of Tube Type Nb3Sn conductors journal February 2012
Magnetic Flux Structures in Superconductors book January 2001
RF Superconductivity book March 2009
Deformation of Crystals: Connections with Statistical Physics journal July 2017
Mechanics of individual isolated vortices in a cuprate superconductor journal November 2008
Theory of the Motion of Vortices in Superconductors journal November 1965
Impact of nitrogen doping of niobium superconducting cavities on the sensitivity of surface resistance to trapped magnetic flux journal February 2016
Efficient expulsion of magnetic flux in superconducting radiofrequency cavities for high Q 0 applications journal June 2016
Effect of vortex hotspots on the radio-frequency surface resistance of superconductors journal February 2013
Dynamic Scaling of Growing Interfaces journal March 1986
Campbell penetration in the critical state of type-II superconductors journal October 2015
Advances in development of Nb 3 Sn superconducting radio-frequency cavities journal November 2014
Flux-pinning in multifilament niobium by dislocation cell boundaries journal June 1976
Critical fields, Pauli paramagnetic limiting, and material parameters of Nb 3 Sn and V 3 Si journal May 1979
Properties of the ideal Ginzburg-Landau vortex lattice journal August 2003