Study of the equation for the Abrikosov vortex pinning on a linear defect in a superconducting wafer

详细信息    查看全文

• 作者：V. A. Fedirko (1) (2)
  S. V. Polyakov (3)
  A. L. Kasatkin (4)
  
• 关键词：superconductor ; the Abrikosov vortices ; studies of pinning equation ; depinning ; critical current ; numerical modeling
• 刊名：Mathematical Models and Computer Simulations
• 出版年：2014
• 出版时间：July 2014
• 年：2014
• 卷：6
• 期：4
• 页码：408-414
• 全文大小：324 KB
• 参考文献：1. A. Larbalestier, D. M. Gurevich, A. Feldmann, and A. Polyanskii, 鈥淗igh-Tc Superconducting Materials for Electric Power Applications,鈥?Nature lass="a-plus-plus">414, 368鈥?77 (2001). lass="external" href="http://dx.doi.org/10.1038/35104654" target="_blank" title="It opens in new window">CrossRef
  2. L. Foltyn, J. L. Civale, J. L. MacManus-Driscoll, Q. X. Jia, B. Maiorov, H. Wang, and M. Maley, 鈥淢aterials Science Challenges for High-Temperature Superconducting Wire,鈥?Nature Mater. lass="a-plus-plus">6, 631鈥?42 (2007). lass="external" href="http://dx.doi.org/10.1038/nmat1989" target="_blank" title="It opens in new window">CrossRef
  3. S. A. Maiorov, H. Baily, O. Zhou, J. A. Ugurlu, P. C. Kennison, T. G. Dowden, S. R. Holesinger, S. R. Foltyn, and L. Civale, 鈥淪ynergetic Combination of Different Types of Defect To Optimize Pinning Landscape Using BaZrO_{lass="a-plus-plus">3}-Doped YBa_{lass="a-plus-plus">2}Cu_{lass="a-plus-plus">3}O_{lass="a-plus-plus">7},鈥?Nature Mater. lass="a-plus-plus">8, 398鈥?04 (2009). lass="external" href="http://dx.doi.org/10.1038/nmat2408" target="_blank" title="It opens in new window">CrossRef
  4. B. Miura, S. A. Maiorov, N. Baily, J. O. Haberkorn, K. Willis, T. Marken, Y. Izumi, L. Shiohara, and L. Civale, 鈥淢ixed Pinning Landscape in Nanoparticle-Introduced YGdBa_{lass="a-plus-plus">2}Cu_{lass="a-plus-plus">3}O_{lass="a-plus-plus">y} Films Grown by Metal Organic Deposition,鈥?Phys. Rev. B lass="a-plus-plus">83(18), 184519 (2001). lass="external" href="http://dx.doi.org/10.1103/PhysRevB.83.184519" target="_blank" title="It opens in new window">CrossRef
  5. A. Xu. Braccini, Y. Xin. Jaroszynski, Y. Larbalestier, G. Chen, J. Carota, I. Dackow, Y. Yao. Kesgin, T. Shi. Guevara, and V. Selvamanickam, 鈥淧roperties of Recent IBAD-MOCVD Coated Conductors Relevant To Their High Field, Low Temperature Magnet Use,鈥?Supercond. Sci. Technol. lass="a-plus-plus">24(3), 1鈥? (2011). lass="external" href="http://dx.doi.org/10.1088/0953-2048/24/3/035001" target="_blank" title="It opens in new window">CrossRef
  6. A. Llordes, J. Palau, M. Gazquez, R. Coll, A. Vlad, J. Pomar, R. Arbiol, S. Ye. Guzman, F. Rouco, S. Sandiumenge, T. Ricart, M. Puig, D. Varela, J. Chateigner, J. Vanacken, V. Gutierrez, G. Moshchalkov, C. Deutscher, X. Magen, and X. Obradors, 鈥淣anoscale Strain-Induced Pair Suppression As a Vortex-Pinning Mechanism in High-Temperature Superconductors,鈥?Nature Mater. lass="a-plus-plus">11(4), 329鈥?36 (2012). lass="external" href="http://dx.doi.org/10.1038/nmat3247" target="_blank" title="It opens in new window">CrossRef
  7. M. Awaji, K. Namba, H. Kai, K. Watanabe, S. Mukaida, and S. Okayasu, 鈥淔lux Pinning Properties of Correlated Pinning at Low Temperatures in ErBCO Films with Inclined Columnar Defects,鈥?J. Appl. Phys. lass="a-plus-plus">111(1), 013914 (2012). lass="external" href="http://dx.doi.org/10.1063/1.3675181" target="_blank" title="It opens in new window">CrossRef
  8. V. Xu, J. Braccini, Y. Xin. Jaroszynski, and D. C. Larbalestier, 鈥淩ole of Weak Uncorrelated Pinning Introduced by BaZrO_{lass="a-plus-plus">3} Nanorods at Low-Temperature in (Y,Gd)Ba_{lass="a-plus-plus">2}Cu_{lass="a-plus-plus">3}O_{lass="a-plus-plus">x} Thin Films,鈥?Phys. Rev. B lass="a-plus-plus">86(11), 115416 (2012). lass="external" href="http://dx.doi.org/10.1103/PhysRevB.86.115416" target="_blank" title="It opens in new window">CrossRef
  9. A. A. Abrikosov, / Fundamentals of the Theory of Metals, (Elsevier, Amsterdam, 1988).
  10. M. V. Blatter, V. B. Feigel鈥檓an, A. I. Geshkenbein, V. M. Larkin, and V. M. Vinokur, 鈥淰ortices in High-Temperature Superconductords,鈥?Rev. Mod. Phys. lass="a-plus-plus">66(4), 1125鈥?388 (1994). lass="external" href="http://dx.doi.org/10.1103/RevModPhys.66.1125" target="_blank" title="It opens in new window">CrossRef
  11. A. P. Yeshurun, A. Malozemoff, and A. Shaulov, 鈥淢agnetic Relaxation in High-Temperature Superconductors,鈥?Rev. Mod. Phys. lass="a-plus-plus">68(3), 911鈥?49 (1996). lass="external" href="http://dx.doi.org/10.1103/RevModPhys.68.911" target="_blank" title="It opens in new window">CrossRef
  12. L. Civale, 鈥淰ortex pinning and creep in high-temperature superconductors with columnar defects,鈥?Supercond. Sci. Technol. lass="a-plus-plus">10, A11 (1997). lass="external" href="http://dx.doi.org/10.1088/0953-2048/10/7A/003" target="_blank" title="It opens in new window">CrossRef
  13. A. L. Pan, V. L. Kasatkin, H. W. Svetchnikov, and H. W. Zandbergen, 鈥淒islocation Model of Superconducting Transport Properties of YBCO Thin Films and Single Crystals,鈥?Cryogenics lass="a-plus-plus">33(1), 21鈥?7 (1993). lass="external" href="http://dx.doi.org/10.1016/0011-2275(93)90070-5" target="_blank" title="It opens in new window">CrossRef
  14. J. M. Dam, F. C. Huijbregtse, F. C. Klaassen, G. van der Geest, J. H. Doornbos, A. M. Rector, S. Testa, J. C. Freisem, B. Martinezk, R. Stauble-Pumpin, and R. Griessen, 鈥淥rigin of High Critical Currents in YBa_{lass="a-plus-plus">2}Cu_{lass="a-plus-plus">3}O_{lass="a-plus-plus">7 鈭?未} Superconducting Thin Films,鈥?Nature lass="a-plus-plus">399, 439鈥?42 (1999). lass="external" href="http://dx.doi.org/10.1038/20880" target="_blank" title="It opens in new window">CrossRef
  15. E.H. Brandt, 鈥淟arge range of validity of linear elasticity of the vortex lattice in high-Tc superconductors,鈥?Phys. Rev. Lett. lass="a-plus-plus">69, 1105鈥?108 (1992). lass="external" href="http://dx.doi.org/10.1103/PhysRevLett.69.1105" target="_blank" title="It opens in new window">CrossRef
  16. A. Tsvetkovskii, V. Kasatkin, and V. Shabatura, 鈥淢echanics of Vortex Escape from Extended Linear Defect in 3D-Anisotropic Superconductor,鈥?J. Phys.: Conf. Ser. lass="a-plus-plus">43, 639鈥?42 (2006).
  17. A. L. Kasatkin and V.P. Tsvetkovskii, / Depinning of Abrikosov鈥檚 vortices in anisotropic superconductors with extended linear defects, Metallofiz. Noveish. Tekhnol. lass="a-plus-plus">34(7), 1001鈥?017 (2012).
  18. E.A. Pashitskii and V.I. Vakaryuk, 鈥淧inning of Abrikosov鈥檚 vortices on dislocations and critical current in high-temperature superconductors,鈥?Low Temp. Phys. lass="a-plus-plus">28, 11 (2002). lass="external" href="http://dx.doi.org/10.1063/1.1449179" target="_blank" title="It opens in new window">CrossRef
  19. C. J. Indenbom, M. van der Beek, F. Konczykowski, and F. Holtzberg, 鈥淒o Columnar Defects Produce Bulk Pinning?,鈥?Phys. Rev. Lett. lass="a-plus-plus">84(8), 1792鈥?795 (2000). lass="external" href="http://dx.doi.org/10.1103/PhysRevLett.84.1792" target="_blank" title="It opens in new window">CrossRef
  20. H. M. Smith, T. F. Jaeger, A. M. Rosenbaum, W. K. Petrean, W.K. Kwok, and G.W. Crabtree, 鈥淰ortex Flow and Transverse Flux Screening at the Bose Glass Transition,鈥?Phys. Rev. Lett. lass="a-plus-plus">84, 4974鈥?977 (2000). lass="external" href="http://dx.doi.org/10.1103/PhysRevLett.84.4974" target="_blank" title="It opens in new window">CrossRef
  
• 作者单位：V. A. Fedirko (1) (2)
  S. V. Polyakov (3)
  A. L. Kasatkin (4)
  
  1. Moscow State University of Technology STANKIN, Moscow, Russia
  2. National Research University of Electronic Technology MIET, Moscow, Russia
  3. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
  4. Kurdyumov Institute for Physics of Metals, National Academy of Sciences of Ukraine, Kiev, Ukraine
  
• ISSN：2070-0490

文摘

An equation for an Abrikosov vortex bound state on a linear defect in a superconducting thin film in the presence of transport current is studied. A theoretical analysis of the corresponding boundary problem has been carried out and an estimate of the density of the critical current resulting in the vortex string depinning is obtained. The shape of an elastic vortex string is calculated. The instability threshold of the vortex-bound state due to the increase in the current, which results in the vortex string depinning, is found using numerical modeling. The results agree qualitatively with the data of the experiments carried out on high-temperature superconductors.