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[en] This paper examines the magnetic field and supercurrent distributions in three-dimensional (3D)
structures made of superposed superconducting films. A recent experimental study of such
structures (Tamegai et al 2017 Physica C 533 74–910) has shown unusual patterns of the trapped
magnetic flux, with an unexpected discontinuity line in the region where the films overlap. In this
work, a finite element model is used to reproduce and understand these patterns. It is shown that
the newly observed discontinuity line originates from the magnetic field dependence of the
critical current density. Moreover, in contrast to common observations made in planar
superconducting structures, the network of critical lines is found to evolve with the applied field
when the 3D structure is magnetized after zero-field cooling. These findings underline the
importance of the magnetic coupling between the components of a multi-layered
superconducting structure in building its critical state.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Burger, Loïc ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Electronique et microsystèmes
Veshchunov, Ivan S.; The University of Tokyo > Department of Applied Physics,
Tamegai, Tsuyoshi; The University of Tokyo > Department of Applied Physics
Silhanek, Alejandro ; Université de Liège - ULiège > Département de physique > Physique expérimentale des matériaux nanostructurés
Nagasawa, Shuichi; National Institute of Advanced Industrial Science and Technology (AIST)
Hidaka, Mutsuo; National Institute of Advanced Industrial Science and Technology (AIST)
Vanderheyden, Benoît ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Electronique et microsystèmes
Language :
English
Title :
Numerical investigation of critical states in superposed superconducting films
Publication date :
04 November 2019
Journal title :
Superconductor Science and Technology
ISSN :
0953-2048
eISSN :
1361-6668
Publisher :
Institute of Physics Publishing, Bristol, United Kingdom
Moshchalkov V, Wordenweber R and Lang W (ed) 2010 Nanoscience and Engineering in Superconductivity (Berlin: Springer)
Rosenberg D et al 2018 3D integrated superconducting qubits npj Quantum Inf. 3 42
Mitchell E E and Foley C P 2010 YBCO step-edge junctions with high IcRn Supercond. Sci. Technol. 23 065007
Romans E J, Osley E J, Young L, Warburton P A and Li W 2010 Three-dimensional nanoscale superconducting quantum interference device pickup loops Appl. Phys. Lett. 97 222506
Navau C, Prat-Camps J and Sanchez A 2012 Magnetic energy harvesting and concentration at a distance by transformation optics Phys. Rev. Lett. 109 263903
Gömöry F, Solovyov M, Šouc J, Navau C, Prat-Camps J and Sanchez A 2012 Experimental realization of a magnetic cloak Science 335 1466-8
Nii M, Amemiya N and Nakamura T 2012 Three-dimensional model for numerical electromagnetic field analyses of coated superconductors and its application to Roebel cables Supercond. Sci. Technol. 25 119501
Patel A, Baskys A, Mitchell-Williams T, McCaul A, Coniglio W, Hänish J, Lao M and Glowacki B A 2018 A trapped field of 17.7 T in a stack of high temperature superconducting tape Supercond. Sci. Technol. 31 09LT01
Prigozhin L and Sokolovsky V 2018 Solution of 3D magnetization problems for superconducting film stacks Supercond. Sci. Technol. 31 125001
Hahn S et al 2019 45.5-tesla direct-current magnetic field generated with a high-temperature superconducting magnet Nature 570 496-9
Tamegai T, Tsuchiya Y, Tada S, Ibuka J, Mine A, Pyon S, Mawatari Y, Nagasawa S, Hikada M and Maezawa M 2014 Flux penetrations into two- and three-dimensional nanostructured superconductors Physica C 503 62-9
Tamegai T, Mine A, Tsuchiya Y, Miyano S, Pyon S, Mawatari Y, Nagasawa S and Hidaka M 2017 Critical states and thermomagnetic instabilities in three-dimensional nanostructured superconductors Physica C 533 74-9
Schuster T, Indenbom M V and Kuhn H 1995 Discontinuity lines in rectangular superconductors with intrinsic and extrinsic anisotropies Phys. Rev. B 52 15621
Schuster T, Kuhn H and Brandt E H 1996 Flux penetration into flat superconductors of arbitrary shape: Patterns of magnetic and electric fields and current Phys. Rev. B 54 3514-24
Vestgarden J I, Shantsev D V, Galperin Y M and Johansen T H 2008 Flux distribution in superconducting films with holes Phys. Rev. B 77 014521
Brisbois J, Adami O-A, Avila Osses J, Motta M, Ortiz W A, Nguyen N D, Vanderbemden P, Vanderheyden B, Kramer R B G and Silhanek A V 2016 Magnetic flux penetration in Nb superconducting films with lithographically defined micro-indentations Phys. Rev. B 93 054521
Lorincz K A, Welling M S, Rector J H and Wijngaarden R J 2004 Flux penetration in patterned superconducting thin films with multiply connected geometry Physica C 411 1-10
Schuster T, Kuhn H, Klaumünzer S and Brandt E H 1997 Flux penetration into flat rectangular superconductors with anisotropic critical current Phys. Rev. B 56 3413-24
Schuster T, Kuhn H, Brandt E H, Indenbom M V, Kläser M, Müller-Vogt G, Habermeier H-U, Kronmüller H and Forkl A 1995 Current and field pattern in rectangular and inhomogeneous superconductors Phys. Rev. B 52 10375-89
Nagasawa S, Hinode K, Satoh T, Akaike H, Kitagawa Y and Hidaka M 2004 Development of advanced Nb process for SFQ circuits Physica C 412-414 1429-36
Tsuchiya Y, Mawatari Y, Ibuka J, Tada S, Pyon S, Nagasawa S, Hidaka M, Maezawa M and Tamegai T 2013 Flux avalanches in Nb superconducting shifted strip arrays Supercond. Sci. Technol. 26 095004
Burger L, Geuzaine C, Henrotte F and Vanderheyden B 2019 Modelling the penetration of magnetic flux in thin superconducting films with shell transformations Int. J. Comput. Math. Electr. Electron. Eng. (https://doi.org/10.1108/COMPEL-11-2018-0488)
Geuzaine C and Remacle J-F 2009 Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities Int. J. Numer. Methods Eng. 79 1309-31
Dular P, Geuzaine C, Henrotte F and Legros W 1998 A general environment for the treatment of discrete problems and its application to the finite element method IEEE Trans. Magnet. 34 3395-8
Colauto F, Carmo D, de Andrare A M H, Oliveira A A M, Ortiz W A, Galperin Y M and Johansen T H 2019 Anisotropic flux penetration in superconducting Nb films with frozen-in in-plane magnetic fields IEEE Trans. Appl. Supercond. 29 8002505
