skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Electron mean free path dependence of the vortex surface impedance

Journal Article · · Superconductor Science and Technology
; ; ; ;

In the present study the radio-frequency complex response of trapped vortices in superconductors is calculated and compared to experimental data previously published. The motion equation for a magnetic flux line is solved assuming a bi-dimensional and mean-free-path-dependent Lorentzian-shaped pinning potential. The resulting surface resistance shows the unprecedented bell-shaped trend as a function of the mean-free-path observed in our previous experimental work. We demonstrate that such bell-shaped trend of the surface resistance as a function of the mean-free-path may be described as the interplay of the two limiting regimes of the surface resistance, for low and large mean-free-path values: pinning and flux-flow regimes respectively. Since the possibility of defining the pinning potential at different locations from the surface and with different strengths, we discuss how the surface resistance is affected by different configurations of pinning sites. By tackling the frequency dependence of the surface resistance, we also demonstrate that the separation between pinning- and flux-flow-dominated regimes cannot be determined only by the depinning frequency. As a result, the dissipation regime can be tuned either by acting on the frequency or on the mean-free-path value.

Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
AC02-07CH11359
OSTI ID:
1339472
Alternate ID(s):
OSTI ID: 1339473; OSTI ID: 1362051
Report Number(s):
FERMILAB-PUB-17-182-TD
Journal Information:
Superconductor Science and Technology, Journal Name: Superconductor Science and Technology Vol. 30 Journal Issue: 3; ISSN 0953-2048
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United Kingdom
Language:
English
Citation Metrics:
Cited by: 19 works
Citation information provided by
Web of Science

References (33)

Magnetic flux structures in superconductors—a conference summary journal April 1974
Magnetic Flux Structures in Superconductors book January 2001
The flux-line lattice in superconductors journal November 1995
Flux vortices and transport currents in type II superconductors journal March 1972
Flux-Flow Resistance in Type-II Superconductors journal August 1965
Nitrogen and argon doping of niobium for superconducting radio frequency cavities: a pathway to highly efficient accelerating structures journal August 2013
Theory of the Anomalous Skin Effect in Normal and Superconducting Metals journal July 1958
Effect of interstitial impurities on the field dependent microwave surface resistance of niobium journal August 2016
Radio-Frequency Resistance in the Mixed State for Subcritical Currents journal April 1966
Unified theory of effects of vortex pinning and flux creep upon the rf surface impedance of type-II superconductors journal July 1991
Analysis of Critical Power Loss in a Superconductor journal January 1971
Frequency Dependence of Superconducting Cavity Q and Magnetic Breakdown Field journal August 1971
Vortex motion and resistivity of type-ll superconductors in a magnetic field [Dvizhenie vikhrei i elektrosoprotivlenie sverkhprovodnikov vtorogo roda v magnitnom pole] journal January 1975
Two-mode electrodynamics of superconductors in the mixed state journal September 1992
Effect of vortex hotspots on the radio-frequency surface resistance of superconductors journal February 2013
Dynamics of vortex penetration, jumpwise instabilities, and nonlinear surface resistance of type-II superconductors in strong rf fields journal March 2008
Surface Barrier in Type-II Superconductors journal January 1964
Technique for measuring the elementary pinning force in thin films journal February 1989
Vortex pinning force in a superconducting niobium strip journal March 1992
Microwave response of thin niobium films under perpendicular static magnetic fields journal September 2006
Theory of the Motion of Vortices in Superconductors journal November 1965
Viscous Flow of Flux in Type-ii Superconductors journal December 1964
Probing dynamics and pinning of single vortices in superconductors at nanometer scales journal January 2015
Superconducting Penetration Depth of Niobium journal August 1965
Nonlocal Characteristics of the Bulk Upper Critical Field of Niobium journal May 1970
Bound Fermion states on a vortex line in a type II superconductor journal May 1964
Superconducting TESLA cavities journal September 2000
Microwave transmission and harmonic generation in granular high- T c superconducting films: Evidence for viscous flux motion and weak links journal May 1991
High-frequency vortex dynamics in journal January 1996
Modified flux flow in polycrystalline YBCO: temperature and current dependence journal June 1996
A review of the properties of Nb 3 Sn and their variation with A15 composition, morphology and strain state journal June 2006
Flux pinning centers in superconducting Nb 3 Sn journal May 1975
Grain size and film thickness of Nb 3 Sn formed by solid‐state diffusion in the range 650–800 °C journal May 1976

Cited By (3)

Frequency dependence of trapped flux sensitivity in SRF cavities journal February 2018
Determination of the Bardeen–Cooper–Schrieffer material parameters of the HIE-ISOLDE superconducting resonator journal January 2019
Simple model for the rf field amplitude dependence of the trapped flux sensitivity in superconducting rf cavities journal February 2019

Similar Records

Related Subjects

43 PARTICLE ACCELERATORS
RF superconductivity
vortex
vortex dynamics
vortex dissipation
mean free path dependence