Geodesic
Study of an equation for Abrikosov vortex pinning on a linear defect in a superconducting slab
Matematičeskoe modelirovanie, Tome 26 (2014) no. 1, pp. 33-41.

Voir la notice de l'article provenant de la source Math-Net.Ru

An equation for a bound state of an Abrikosov vortex on a pinning on linear defect in a thin superconducting slab in the presence of a transport current has been studied. An analytical analysis of the corresponding boundary problem has been performed, a critical current density resulting to vortex depinning is estimated. The form of an elastic vortex string is calculated, the instability threshold for a bound state with increasing current, which leads to the string depinning, is found using numerical simulation. The results agree qualitatively with experimental data for high temperature superconductors.
Keywords: superconductor, analysis of a pinning equation, depinning, critical current, numerical simulation.
Mots-clés : Abrikosov vortices 
@article{MM_2014_26_1_a2,
     author = {V. A. Fedirko and S. V. Polyakov and A. L. Kasatkin},
     title = {Study of an equation for {Abrikosov} vortex pinning on a linear defect in a superconducting slab},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {33--41},
     publisher = {mathdoc},
     volume = {26},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_1_a2/}
}
TY  - JOUR
AU  - V. A. Fedirko
AU  - S. V. Polyakov
AU  - A. L. Kasatkin
TI  - Study of an equation for Abrikosov vortex pinning on a linear defect in a superconducting slab
JO  - Matematičeskoe modelirovanie
PY  - 2014
SP  - 33
EP  - 41
VL  - 26
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2014_26_1_a2/
LA  - ru
ID  - MM_2014_26_1_a2
ER  - 
%0 Journal Article
%A V. A. Fedirko
%A S. V. Polyakov
%A A. L. Kasatkin
%T Study of an equation for Abrikosov vortex pinning on a linear defect in a superconducting slab
%J Matematičeskoe modelirovanie
%D 2014
%P 33-41
%V 26
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2014_26_1_a2/
%G ru
%F MM_2014_26_1_a2
V. A. Fedirko; S. V. Polyakov; A. L. Kasatkin. Study of an equation for Abrikosov vortex pinning on a linear defect in a superconducting slab. Matematičeskoe modelirovanie, Tome 26 (2014) no. 1, pp. 33-41. http://geodesic.mathdoc.fr/item/MM_2014_26_1_a2/

[1] D. Larbalestier, A. Gurevich, D. M. Feldmann, A. Polyanskii, “High-Tc superconducting materials for electric power applications”, Nature, 414 (2001), 368–377 | DOI

[2] S. R. Foltyn, L. Civale, J. L. MacManus-Driscoll, Q. X. Jia, B. Maiorov, H. Wang, M. Maley, “Materials science challenges for high-temperature superconducting wire”, Nature Mater., 6 (2007), 631–642 | DOI

[3] B. Maiorov, S. A. Baily, H. Zhou, O. Ugurlu, J. A. Kennison, P. C. Dowden, T. G. Holesinger, S. R. Foltyn, L. Civale, “Synergetic combination of different types of defect to optimize pinning landscape using $\mathrm{BaZrO}_3$-doped $\mathrm{YBa_2Cu_3O_7}$”, Nature Mater., 8 (2009), 398–404 | DOI

[4] M. Miura, B. Maiorov, S. A. Baily, N. Haberkorn, J. O. Willis, K. Marken, T. Izumi, Y. Shiohara, L. Civale, “Mixed pinning landscape in nanoparticle-introduced $\mathrm{YGdBa_2Cu_3O_y}$ films grown by metal organic deposition”, Phys. Rev. B, 83:18 (2001), 184519, 8 pp. | DOI

[5] V. Braccini, A. Xu, J. Jaroszynski, Y. Xin, D. C. Larbalestier, Y. Chen, G. Carota, J. Dackow, I. Kesgin, Y. Yao, A. Guevara, T. Shi, V. Selvamanickam, “Properties of recent IBAD-MOCVD coated conductors relevant to their high field, low temperature magnet use”, Supercond. Sci. Technol., 24:3 (2011), 35001, 9 pp. | DOI

[6] A. Llordes, A. Palau, J. Gazquez, M. Coll, R. Vlad, A. Pomar, J. Arbiol, R. Guzman, S. Ye, V. Rouco, F. Sandiumenge, S. Ricart, T. Puig, M. Varela, D. Chateigner, J. Vanacken, J. Gutierrez, V. Moshchalkov, G. Deutscher, C. Magen, X. Obradors, “Nanoscale strain-induced pair suppression as a vortex-pinning mechanism in high-temperature superconductors”, Nature Mater., 11:4 (2012), 329–336 | DOI

[7] S. Awaji, M. Namba, K. Watanabe, H. Kai, M. Mukaida, S. Okayasu, “Flux pinning properties of correlated pinning at low temperatures in $\mathrm{ErBCO}$ films with inclined columnar defects”, J. Appl. Phys., 111:1 (2012), 013914, 4 pp. | DOI

[8] A. Xu, V. Braccini, J. Jaroszynski, Y. Xin, D. C. Larbalestier, “Role of weak uncorrelated pinning introduced by $\mathrm{BaZrO3}$ nanorods at low-temperature in $\mathrm{(Y,Gd)Ba_2Cu_3O_x}$ thin films”, Phys. Rev. B, 86:11 (2012), 115416, 9 pp. | DOI

[9] A. A. Abrikosov, Osnovy teorii metallov, Nauka, M., 1987, 511 pp.

[10] G. M. Blatter, M. V. Feigel'man, V. B. Geshkenbein, A. I. Larkin, V. M. Vinokur, “Vortices in high-temperature superconductords”, Rev. Mod. Phys., 66:4 (1994), 1125–1388 | DOI | MR

[11] Y. Yeshurun, A. P. Malozemoff, A. Shaulov, “Magnetic relaxation in high-temperature superconductors”, Rev. Mod. Phys., 68:3 (1996), 911–949 | DOI

[12] L. Civale, “Vortex pinning and creep in high-temperature superconductors with columnar defects”, Supercond. Sci. Technol., 10 (1997), A11–28 | DOI

[13] V. M. Pan, A. L. Kasatkin, V. L. Svetchnikov, H. W. Zandbergen, “Dislocation model of superconducting transport properties of $\mathrm{YBCO}$ thin films and single crystals”, Cryogenics, 33:1 (1993), 21–27 | DOI

[14] B. Dam, J. M. Huijbregtse, F. C. Klaassen, R. C. F. van der Geest, G. Doornbos, J. H. Rector, A. M. Testa, S. Freisem, J. C. Martinezk, B. Stäuble-Pümpin, R. Griessen, “Origin of high critical currents in $\mathrm{YBa_2Cu_3O_{7-\delta}}$ superconducting thin films”, Nature, 399 (1999), 439–442 | DOI

[15] E. H. Brandt, “Large range of validity of linear elasticity of the vortex lattice in high-Tc superconductors”, Phys. Rev. Lett., 69:7 (1992), 1105–1108 | DOI

[16] V. Tsvetkovskii, A. Kasatkin, V. Shabatura, “Mechanics of vortex escape from extended linear defect in 3D-anisotropic superconductor”, Journal of Physics: Conf. Ser., 43 (2006), 639–642 | DOI

[17] A. L. Kasatkin, V. P. Tsvetkovskii, “Depinning abrikosovskikh vikhrei v anizotropnykh sverkhprovodnikakh s protyazhennymi lineinymi defektami”, Metallofiz. noveishie tekhnol., 34:7 (2012), 1001–1017

[18] E. A. Pashitskii, V. I. Vakaryuk, “Pinning vikhrei Abrikosova na dislokatsiyakh i kriticheskii tok v vysokotemperaturnykh sverkhprovodnikakh”, Fizika nizkikh temperatur, 28:1 (2002), 16–23 | Zbl

[19] M. V. Indenbom, C. J. van der Beek, M. Konczykowski, F. Holtzberg, Do Columnar Defects Produce Bulk Pinning?, Phys. Rev. Lett., 84:8 (2000), 1792–1795 | DOI

[20] W. Smith, H. M. Jaeger, T. F. Rosenbaum, A. M. Petrean, W. K. Kwok, G. W. Crabtree, “Vortex Flow and Transverse Flux Screening at the Bose Glass Transition”, Phys. Rev. Lett., 84 (2000), 4974–4977 | DOI