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Field-dependent critical state of high-Tc superconducting strip simultaneously exposed to transport current and perpendicular magnetic field
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1.
1. C. P. Bean, Rev. Mod. Phys. 36, 31 (1964).
http://dx.doi.org/10.1103/RevModPhys.36.31
2.
2. Y. B. Kim, C. F. Hempstead, and A. R. Strnad, Phys. Rev. Lett. 9, 306 (1962).
http://dx.doi.org/10.1103/PhysRevLett.9.306
3.
3. W. T. Norris, J. Phys. D: Appl. Phys. 3, 489 (1970).
http://dx.doi.org/10.1088/0022-3727/3/4/308
4.
4. E. H. Brandt, M. V. Indenbom, and A. Forkl, Europhys. Lett. 22, 735 (1993).
http://dx.doi.org/10.1209/0295-5075/22/9/017
5.
5. E. H. Brandt and M. V. Indenbom, Phys. Rev. B 48, 12893 (1993).
http://dx.doi.org/10.1103/PhysRevB.48.12893
6.
6. E. Zeldov, J. R. Clem, M. McElfresh, and M. Darwin, Phys. Rev. B 49, 9802 (1994).
http://dx.doi.org/10.1103/PhysRevB.49.9802
7.
7. P. N. Mikheenko and Yu. E. Kuzovlev, Physica C 204, 229 (1993).
http://dx.doi.org/10.1016/0921-4534(93)91004-F
8.
8. J. Zhu, J. Mester, J. Lockhart, and J. Turneaure, Physica C 212, 216 (1993).
http://dx.doi.org/10.1016/0921-4534(93)90506-L
9.
9. J. R. Clem and A. Sanchez, Phys. Rev. B 50, 9355 (1994).
http://dx.doi.org/10.1103/PhysRevB.50.9355
10.
10. F. Gomory, Supercond. Sci. Technol. 10, 523 (1997).
http://dx.doi.org/10.1088/0953-2048/10/8/001
11.
11. B. J. Jonsson, K. V. Rao, S. H. Yun, and U. O. Karlsson, Phys. Rev. B 58, 5862 (1998).
http://dx.doi.org/10.1103/PhysRevB.58.5862
12.
12. J. R. Clem, J. Appl. Phys. 50, 3518 (1979).
http://dx.doi.org/10.1063/1.326349
13.
13. D. X. Chen and R. B. Goldfarb, J. Appl. Phys. 66, 2489 (1989).
http://dx.doi.org/10.1063/1.344261
14.
14. H. Ikuta, K. Kishio, and K. Kitazawa, J. Appl. Phys. 76, 4776 (1994).
http://dx.doi.org/10.1063/1.357249
15.
15. E. H. Brandt, Phys. Rev. B 54, 4246 (1996).
http://dx.doi.org/10.1103/PhysRevB.54.4246
16.
16. E. H. Brandt, Phys. Rev. B 58, 6506 (1998);
http://dx.doi.org/10.1103/PhysRevB.58.6506
16.E. H. Brandt, Phys. Rev. B 58, 6523 (1998).
http://dx.doi.org/10.1103/PhysRevB.58.6523
17.
17. E. H. Brandt, Rep. Prog. Phys. 58, 1465 (1995).
http://dx.doi.org/10.1088/0034-4885/58/11/003
18.
18. E. H. Brandt, Physica C 235–240, 2939 (1994).
http://dx.doi.org/10.1016/0921-4534(94)90996-2
19.
19. J. McDonald and J. R. Clem, Phys. Rev. B 53, 8643 (1996).
http://dx.doi.org/10.1103/PhysRevB.53.8643
20.
20. D. V. Shantsev, Y. M. Galperin, and T. H. Johansen, Phys. Rev. B 60, 13112 (1999).
http://dx.doi.org/10.1103/PhysRevB.60.13112
21.
21. M. Suenaga, Q. Li, Z. Ye, M. Iwakuma, K. Toyota, F. Funaki, S. R. Foltyn, H. Wang, and J. R. Clem, J. Appl. Phys. 95, 208 (2004).
http://dx.doi.org/10.1063/1.1630695
22.
22. Y. Mawatari and J. R. Clem, Phys. Rev. Lett. 86, 2870 (2001).
http://dx.doi.org/10.1103/PhysRevLett.86.2870
23.
23. D. W. Hazelton and V. Selvamanickam, Proc. IEEE 97, 1831 (2009).
http://dx.doi.org/10.1109/JPROC.2009.2030239
24.
24. M. Sugano, T. Nakamura, T. Manabe, K. Shikimachi, N. Hirano, and S. Nagaya, Supercond. Sci. Technol. 21, 115019 (2008).
http://dx.doi.org/10.1088/0953-2048/21/11/115019
25.
25. G. P. Mikitik and E. H. Brandt, Phys. Rev. B 62, 6812 (2000).
http://dx.doi.org/10.1103/PhysRevB.62.6812
26.
26. Y. Mawatari, Phys. Rev. B 77, 104505 (2008).
http://dx.doi.org/10.1103/PhysRevB.77.104505
27.
27. A. V. Bobyl, D. V. Shantsev, Y. M. Galperin, T. H. Johansen, M. Baziljevich and S. F. Karmanenko, Supercond. Sci. Technol. 15, 82 (2002).
http://dx.doi.org/10.1088/0953-2048/15/1/314
28.
28. M. E. Gaevski, A. V. Bobyl, D. V. Shantsev, Y. M. Galperin, T. H. Johansen, M. Baziljevich, H. Bratsberg, and S. F. Karmanenko, Phys. Rev. B 59, 9655 (1999).
http://dx.doi.org/10.1103/PhysRevB.59.9655
29.
29. J. Yoo, S. M. Lee, Y. H. Jung, J. Lee, D. Youm, R. K. Ko, and S. S. Oh, Physica C 468, 160 (2008).
http://dx.doi.org/10.1016/j.physc.2007.11.002
30.
30. M. Polak, P. Usak, and E. Demencik, Physica C 440, 40 (2006).
http://dx.doi.org/10.1016/j.physc.2006.03.054
31.
31. J. Yoo, J. Lee, S. M. Lee, Y. H. Jung, D. Youm, and S. S. Oh, Supercond. Sci. Technol. 22, 125019 (2009).
http://dx.doi.org/10.1088/0953-2048/22/12/125019
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Figures

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FIG. 1.

Schematics of the thin high- superconducting strip with transport current in a perpendicular field . The current and flux-density profiles of three cases for arbitrary field-dependent critical state in the strip are considered in this paper, i.e., the strip with transport current in the absence of applied field (Sec. II ), the strip in a perpendicular field with zero transport current (Sec. III ) and the strip in the simultaneous presence of applied field and transport current (Sec. IV ).

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FIG. 2.

The sheet current () (top) and flux-density () (bottom) for the Kim model with calculated from Eqs. (1)–(3) in a superconducting strip with increasing transport current . The depicted profiles are for , 0.6, 0.75 and 0.85. The cusplike peaks in current profiles are caused by (). The penetration depth increases monotonously as the transport current increases.

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FIG. 3.

For weak penetration in a strip with only transport current, black dashed curves are the sheet current profiles from the approximate analytical expression (Eq. (6) ) for the Kim model and the color solid curves are the exact solutions calculated from Eqs. (1)–(3) . The good agreement can be seen between the approximate analytical expression and the exact results.

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FIG. 4.

For weak penetration in a strip with only transport current, black dashed curves are the flux-density profiles from the approximate analytical expressions (Eq. (7) (8) ) for the Kim model and the color solid curves are the exact solutions calculated from Eqs. (1)–(3) .

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FIG. 5.

The development of the penetration depth versus transport current for weak penetration. The approximate analytical expression of penetration depth (Eq. (9) ) for the Kim model (color dashed curves) agrees well with the exact solution (color solid curves) calculated from Eqs. (1)–(3) .

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FIG. 6.

The maximum transport current of the strip in the absence of applied field varies as a function of the material parameter for three critical state models, i.e., the Bean model, Kim model and exponential model.

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FIG. 7.

The sheet current () (top) and flux-density () (bottom) calculated from Eqs. (13)–(15) in a superconducting strip with when the transport current is reduced from 0.85 to −0.85 . The depicted profiles are for , 0.5, 0, −0.5, −0.85.

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FIG. 8.

The universal functions () (top) and () (bottom) calculated from Eqs. (16)–(19) in a superconducting strip with for different applied fields and transport currents ( , ), i.e., (0.3, 0.261), (0.65, 0.386), (1, 0.402), (2, 0.357). The inset indicates that decreases after exceeds about 0.94 . Therefore, the transport current corresponding to 2 is less than that corresponding to , which is qualitatively different from the Bean model (dashed curve).

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FIG. 9.

Sheet current () for a “currentlike” (top) and “fieldlike” (bottom) state calculated from Eqs. (20) (21) in a superconducting strip with in the presence of transport current and applied field for different left and right penetration depths ( , ). The depicted profiles are for (0.05, 0.2), (0.1, 0.5), (0.15, 0.8), (0.2, 1), (0.25, 1.5). For a “currentlike” state, the left and right penetration depths increase monotonously as the field and current increase (top). As for the “fieldlike” state, the left penetration depth ( ) will start to decrease after and reach some value. However, the penetrated flux is irreversible due to pinning effect. Therefore, (0.25, 1.5) corresponds to an unphysical case (dashed curve) for the decrease of (cf. Ref. 5 ).

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FIG. 10.

The lines = (blue lines) and = (green lines) calculated from Eqs. (20)–(23) with in the - plane. The dash-dotted line = divides the - plane into “currentlike” (top) and “fieldlike” (bottom) regions. The lines = have peak values with increasing applied field. The applying paths of and corresponding to the lines = are divided into two opposite directions (along arrows) by the line = . The envelope (black line) almost coincides with the function at higher applied fields. And it predicts the transport current will be reduced to zero as → ∞ (see the inset). Whenever a line = touches the envelope, it transforms into a line = with = − .

Image of FIG. 11.

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FIG. 11.

Schematic of the conformal mapping for the thin strip with transport current. The cross section of the strip in the ζ-plane is mapped into the η-plane.

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/content/aip/journal/adva/3/12/10.1063/1.4849396
2013-12-23
2014-04-20

Abstract

We present an exact analytical approach for arbitrary field-dependent critical state of high- superconducting strip with transport current. The sheet current and flux-density profiles are derived by solving the integral equations, which agree with experiments quite well. For small transport current, the approximate explicit expressions of sheet current, flux-density and penetration depth for the Kim model are derived based on the mean value theorem for integration. We also extend the results to the field-dependent critical state of superconducting strip in the simultaneous presence of applied field and transport current. The sheet current distributions calculated by the Kim model agree with experiments better than that by the Bean model. Moreover, the lines in the - plane for the Kim model are not monotonic, which is quite different from that the Bean model. The results reveal that the maximum transport current in thin superconducting strip will decrease with increasing applied field which vanishes for the Bean model. The results of this paper are useful to calculate ac susceptibility and ac loss.

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Scitation: Field-dependent critical state of high-Tc superconducting strip simultaneously exposed to transport current and perpendicular magnetic field
http://aip.metastore.ingenta.com/content/aip/journal/adva/3/12/10.1063/1.4849396
10.1063/1.4849396
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