Meissner-London Susceptibility of Superconducting Right Circular Cylinders in an Axial Magnetic Field

Prozorov, Ruslan

doi:10.1103/physrevapplied.16.024014

Meissner-London Susceptibility of Superconducting Right Circular Cylinders in an Axial Magnetic Field

Journal Article · Mon Aug 09 00:00:00 EDT 2021 · Physical Review Applied

DOI:https://doi.org/10.1103/physrevapplied.16.024014· OSTI ID:1817630

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Ames Lab., and Iowa State Univ., Ames, IA (United States)

Analysis of magnetic susceptibility of nonellipsoidal samples is a long-standing problem in experimental studies of magnetism and superconductivity. Here the quantitative description of the Meissner-London response (no Abrikosov vortices) of right circular cylinders in an axial magnetic field is given. Three-dimensional adaptive finite-element modeling is used to calculate the total magnetic moment ( m ) in a wide range of London penetration depth ( λ ) to sample size ( a ) ratios, λ /a. Furthermore, by fitting numerical solutions, the closed-form empirical magnetic susceptibility is obtained involving only sample dimensions and λ, thus providing a recipe for determining the London penetration depth from the precision measurements of the magnetic susceptibility. Detailed protocols of the experimental data analysis using the developed approach are given. The results can be readily extended to the most frequently used cuboid-shaped samples.

Research Organization:: Ames Laboratory (AMES), Ames, IA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: AC02-07CH11358

OSTI ID:: 1817630

Alternate ID(s):: OSTI ID: 1818546

Report Number(s):: IS--J 10,564

Journal Information:: Physical Review Applied, Journal Name: Physical Review Applied Journal Issue: 2 Vol. 16; ISSN 2331-7019

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (12)

Measurements of the absolute value of the penetration depth in high-Tc superconductors using a low-Tc superconductive coating Prozorov, R.; Giannetta, R. W.; Carrington, A. Applied Physics Letters, Vol. 77, Issue 25 https://doi.org/10.1063/1.1328362	journal	December 2000
Geometric edge barrier in the Shubnikov phase of type-II superconductors Brandt, E. H. Low Temperature Physics, Vol. 27, Issue 9 https://doi.org/10.1063/1.1401181	journal	September 2001
Ballistic Demagnetizing Factor in Uniformly Magnetized Cylinders Joseph, R. I. Journal of Applied Physics, Vol. 37, Issue 13 https://doi.org/10.1063/1.1708110	journal	December 1966
Demagnetizing factors for completely shielded rectangular prisms Pardo, Enric; Chen, Du-Xing; Sanchez, Alvaro Journal of Applied Physics, Vol. 96, Issue 9 https://doi.org/10.1063/1.1787134	journal	November 2004
Micromagnetics of curling configurations in magnetically soft cylinders Arrott, A. S.; Heinrich, B.; Templeton, T. L. Journal of Applied Physics, Vol. 50, Issue B3 https://doi.org/10.1063/1.326961	journal	March 1979
Simple and approximate expressions of demagnetizing factors of uniformly magnetized rectangular rod and cylinder Sato, M.; Ishii, Y. Journal of Applied Physics, Vol. 66, Issue 2 https://doi.org/10.1063/1.343481	journal	July 1989
London penetration depth in iron-based superconductors Prozorov, R.; Kogan, V. G. Reports on Progress in Physics, Vol. 74, Issue 12 https://doi.org/10.1088/0034-4885/74/12/124505	journal	September 2011
Magnetic penetration depth in unconventional superconductors Prozorov, Ruslan; Giannetta, Russell W. Superconductor Science and Technology, Vol. 19, Issue 8 https://doi.org/10.1088/0953-2048/19/8/R01	journal	June 2006
Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes Prozorov, R.; Kogan, V. G. Physical Review Applied, Vol. 10, Issue 1 https://doi.org/10.1103/PhysRevApplied.10.014030	journal	July 2018
Meissner-London state in superconductors of rectangular cross section in a perpendicular magnetic field Prozorov, R.; Giannetta, R. W.; Carrington, A. Physical Review B, Vol. 62, Issue 1 https://doi.org/10.1103/PhysRevB.62.115	journal	July 2000
Demagnetizing factors for cylinders Chen, D. -X.; Brug, J. A.; Goldfarb, R. B. IEEE Transactions on Magnetics, Vol. 27, Issue 4 https://doi.org/10.1109/20.102932	journal	July 1991
Magnetic polarizability of a short right circular conducting cylinder Taylor, T. T. Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics, Vol. 64B, Issue 4 https://doi.org/10.6028/jres.064B.021	journal	July 1960

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Meissner-London Susceptibility of Superconducting Right Circular Cylinders in an Axial Magnetic Field

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