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Title: Time-dependent Ginzburg-Landau treatment of rf magnetic vortices in superconductors: Vortex semiloops in a spatially nonuniform magnetic field

Authors:
ORCiD logo; ORCiD logo
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1605498
Grant/Contract Number:  
[DESC0017931]
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
[Journal Name: Physical Review E Journal Volume: 101 Journal Issue: 3]; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Oripov, Bakhrom, and Anlage, Steven M. Time-dependent Ginzburg-Landau treatment of rf magnetic vortices in superconductors: Vortex semiloops in a spatially nonuniform magnetic field. United States: N. p., 2020. Web. doi:10.1103/PhysRevE.101.033306.
Oripov, Bakhrom, & Anlage, Steven M. Time-dependent Ginzburg-Landau treatment of rf magnetic vortices in superconductors: Vortex semiloops in a spatially nonuniform magnetic field. United States. doi:10.1103/PhysRevE.101.033306.
Oripov, Bakhrom, and Anlage, Steven M. Thu . "Time-dependent Ginzburg-Landau treatment of rf magnetic vortices in superconductors: Vortex semiloops in a spatially nonuniform magnetic field". United States. doi:10.1103/PhysRevE.101.033306.
@article{osti_1605498,
title = {Time-dependent Ginzburg-Landau treatment of rf magnetic vortices in superconductors: Vortex semiloops in a spatially nonuniform magnetic field},
author = {Oripov, Bakhrom and Anlage, Steven M.},
abstractNote = {},
doi = {10.1103/PhysRevE.101.033306},
journal = {Physical Review E},
number = [3],
volume = [101],
place = {United States},
year = {2020},
month = {3}
}

Journal Article:
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Works referenced in this record:

Effect of inhomogeneous surface disorder on the superheating field of superconducting RF cavities
journal, August 2019


Field-dependent nonlinear surface resistance and its optimization by surface nanostructuring in superconductors
journal, August 2019


Enhancement of rf breakdown field of superconductors by multilayer coating
journal, January 2006


Strong Meissner screening change in superconducting radio frequency cavities due to mild baking
journal, February 2014

  • Romanenko, A.; Grassellino, A.; Barkov, F.
  • Applied Physics Letters, Vol. 104, Issue 7
  • DOI: 10.1063/1.4866013

Theory of RF superconductivity for resonant cavities
journal, January 2017


Optimization of tailored multilayer superconductors for RF application and protection against premature vortex penetration
journal, July 2019

  • Antoine, C. Z.; Aburas, M.; Four, A.
  • Superconductor Science and Technology, Vol. 32, Issue 8
  • DOI: 10.1088/1361-6668/ab1bf1

A time dependent Ginzburg-Landau equation and its application to the problem of resistivity in the mixed state
journal, October 1966

  • Schmid, Albert
  • Physik der Kondensierten Materie, Vol. 5, Issue 4
  • DOI: 10.1007/BF02422669

Microscopic Theory of Superconductivity
journal, April 1957


Nonlinear Meissner effect in unconventional superconductors
journal, June 1995


Vortices in high-temperature superconductors
journal, October 1994


Magnetic Flux Lines in Complex Geometry Type-II Superconductors Studied by the Time Dependent Ginzburg-Landau Equation
journal, August 2010

  • Alstrøm, Tommy Sonne; Sørensen, Mads Peter; Pedersen, Niels Falsig
  • Acta Applicandae Mathematicae, Vol. 115, Issue 1
  • DOI: 10.1007/s10440-010-9580-8

Dynamical behavior of fluxoid and arrangement of pinning center in superconductor based on TDGL equation
journal, December 2004


Nanoscale nonlinear radio frequency properties of bulk Nb: Origins of extrinsic nonlinear effects
journal, October 2015


Near-field microwave magnetic nanoscopy of superconducting radio frequency cavity materials
journal, June 2014

  • Tai, Tamin; Ghamsari, Behnood G.; Bieler, Thomas R.
  • Applied Physics Letters, Vol. 104, Issue 23
  • DOI: 10.1063/1.4881880

Maximum screening fields of superconducting multilayer structures
journal, January 2015


Dynamics of vortex nucleation by rapid thermal quench
journal, March 2001


Development of high resolution camera for observations of superconducting cavities
journal, September 2008

  • Iwashita, Yoshihisa; Tajima, Yujiro; Hayano, Hitoshi
  • Physical Review Special Topics - Accelerators and Beams, Vol. 11, Issue 9
  • DOI: 10.1103/PhysRevSTAB.11.093501

Transformation of Gorkov's equation for type II superconductors into transport-like equations
journal, April 1968

  • Eilenberger, Gert
  • Zeitschrift für Physik A Hadrons and nuclei, Vol. 214, Issue 2
  • DOI: 10.1007/BF01379803

Phase-sensitive harmonic measurements of microwave nonlinearities in cuprate thin films
journal, October 2009


Generalized Diffusion Equation for Superconducting Alloys
journal, August 1970


Tunneling Study of Superconductivity near the Metal-Insulator Transition
journal, December 1984


Ginzburg-Landau theory for superconductors
journal, February 1973


Current-induced cutting and recombination of magnetic superconducting vortex loops in mesoscopic superconductor-ferromagnet heterostructures
journal, May 2013


Pinning phenomena in the Ginzburg–Landau model of superconductivity
journal, April 2001

  • Aftalion, Amandine; Sandier, Etienne; Serfaty, Sylvia
  • Journal de Mathématiques Pures et Appliquées, Vol. 80, Issue 3
  • DOI: 10.1016/S0021-7824(00)01180-6

Effect of interstitial impurities on the field dependent microwave surface resistance of niobium
journal, August 2016

  • Martinello, M.; Grassellino, A.; Checchin, M.
  • Applied Physics Letters, Vol. 109, Issue 6
  • DOI: 10.1063/1.4960801

Surface barrier in mesoscopic type-I and type-II superconductors
journal, April 2002


Tunneling study of cavity grade Nb: Possible magnetic scattering at the surface
journal, May 2008

  • Proslier, T.; Zasadzinski, J. F.; Cooley, L.
  • Applied Physics Letters, Vol. 92, Issue 21
  • DOI: 10.1063/1.2913764

Nonlinear Near-Field Microwave Microscope for RF Defect Localization in Superconductors
journal, June 2011

  • Tai, Tamin; Xi, X. X.; Zhuang, C. G.
  • IEEE Transactions on Applied Superconductivity, Vol. 21, Issue 3
  • DOI: 10.1109/TASC.2010.2096531

Theory of Dissipative Current-Carrying States in Superconducting Filaments
journal, April 1978


Impurity-induced states in conventional and unconventional superconductors
journal, May 2006


Direct Measurement of Quasiparticle-Lifetime Broadening in a Strong-Coupled Superconductor
journal, November 1978


Nitrogen and argon doping of niobium for superconducting radio frequency cavities: a pathway to highly efficient accelerating structures
journal, August 2013


Microwave nonlinearities of an isolated long Y Ba 2 Cu 3 O 7 δ bicrystal grain boundary
journal, July 2005


Efficient solution of nonlinear, underdetermined inverse problems with a generalized PDE model
journal, November 2008


Surface impedance and optimum surface resistance of a superconductor with an imperfect surface
journal, November 2017


Numerical Modeling of Continuous Flow Microwave Heating: A Critical Comparison of COMSOL and ANSYS
journal, January 2010


On the superconducting sphere in an external magnetic field
journal, September 1999

  • Matute, Ernesto A.
  • American Journal of Physics, Vol. 67, Issue 9
  • DOI: 10.1119/1.19126

Routine characterization of 3D profiles of SRF cavity defects using replica techniques
journal, December 2010


Numerical Simulation of Vortex Dynamics in Type-II Superconductors
journal, February 1996

  • Gropp, William D.; Kaper, Hans G.; Leaf, Gary K.
  • Journal of Computational Physics, Vol. 123, Issue 2
  • DOI: 10.1006/jcph.1996.0022

Theory of Superconductivity
journal, December 1957


Nanoscale Electrodynamic Response of Nb Superconductors
journal, June 2013

  • Tamin Tai, ; Ghamsari, B. G.; Anlage, S. M.
  • IEEE Transactions on Applied Superconductivity, Vol. 23, Issue 3
  • DOI: 10.1109/TASC.2012.2227651

Finite Element Treatment of Vortex States in 3D Cubic Superconductors in a Tilted Magnetic Field
journal, March 2017


Boundary Effects in Superconductors
journal, January 1964


Theoretical estimates of maximum fields in superconducting resonant radio frequency cavities: stability theory, disorder, and laminates
journal, January 2017


Temperature-dependent vortex motion in a square mesoscopic superconducting cylinder: Ginzburg-Landau calculations
journal, July 2006

  • Sardella, Edson; Malvezzi, André Luiz; Lisboa-Filho, Paulo Noronha
  • Physical Review B, Vol. 74, Issue 1
  • DOI: 10.1103/PhysRevB.74.014512

Modeling the nanoscale linear response of superconducting thin films measured by a scanning probe microwave microscope
journal, May 2014

  • Tai, Tamin; Ghamsari, B. G.; Anlage, Steven M.
  • Journal of Applied Physics, Vol. 115, Issue 20
  • DOI: 10.1063/1.4878937

Time-Dependent Ginzburg–Landau Simulations of the Critical Current in Superconducting Films and Junctions in Magnetic Fields
journal, June 2018

  • Blair, Alexander I.; Hampshire, Damian P.
  • IEEE Transactions on Applied Superconductivity, Vol. 28, Issue 4
  • DOI: 10.1109/TASC.2018.2790985

Masking effect of heat dissipation on the current-voltage characteristics of a mesoscopic superconducting sample with leads
journal, May 2005


Second generation of vortex-antivortex states in mesoscopic superconductors: Stabilization by artificial pinning
journal, May 2009


Finite element methods for the time-dependent Ginzburg-Landau model of superconductivity
journal, June 1994


Stable large-scale solver for Ginzburg–Landau equations for superconductors
journal, August 2015

  • Sadovskyy, I. A.; Koshelev, A. E.; Phillips, C. L.
  • Journal of Computational Physics, Vol. 294
  • DOI: 10.1016/j.jcp.2015.04.002

Superheating field of superconductors within Ginzburg-Landau theory
journal, March 2011


Anisotropic ac dissipation at the surface of mesoscopic superconductors
journal, October 2007


The approach to equilibrium in a pure superconductor the relaxation of the Cooper pair density
journal, November 1968

  • Schmid, Albert
  • Physik der Kondensierten Materie, Vol. 8, Issue 2
  • DOI: 10.1007/BF02422735

High-Frequency Nonlinear Response of Superconducting Cavity-Grade Nb  Surfaces
journal, June 2019


The world of the complex Ginzburg-Landau equation
journal, February 2002


Dependence of the residual surface resistance of superconducting radio frequency cavities on the cooling dynamics around T c
journal, May 2014

  • Romanenko, A.; Grassellino, A.; Melnychuk, O.
  • Journal of Applied Physics, Vol. 115, Issue 18
  • DOI: 10.1063/1.4875655

Giant ultrafast Kerr effect in superconductors
journal, June 2017


Superconducting TESLA cavities
journal, September 2000

  • Aune, B.; Bandelmann, R.; Bloess, D.
  • Physical Review Special Topics - Accelerators and Beams, Vol. 3, Issue 9
  • DOI: 10.1103/PhysRevSTAB.3.092001

Dissipation spots generated by vortex nucleation points in mesoscopic superconductors driven by microwave magnetic fields
journal, June 2008


Quasiparticle and phonon lifetimes in superconductors
journal, December 1976