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On the Determination of Pinning Mechanisms and Regimes in Type-II Superconductors with Weak Thermal Fluctuations

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Abstract

Determination of pinning mechanisms is an important topic in the study of practical type-II superconductors. In this paper, we modify the underlying assumptions of the conventional model, which is used to determine the pinning mechanisms from the experimental data on the temperature dependence of Jc(T)/Jc(0). The assumption that the vortices are pinned in the single vortex regime and the considered temperature dependencies for λ and ξ and temperature independency for ε are not always correct. Inappropriate assumptions may lead the determination of pinning mechanisms to confusing or misleading results by creating a discrepancy between theory and experiment. To resolve the discrepancy and have a model with the ability to be customized for different type-II superconductors and with the capacity to be used at various magnetic fields (in which the vortices may be pinned in the single vortex, small bundle, or large bundle regime), we adopt more general assumptions, by employing the critical current density expressions in different pinning regimes and generalizing the considered temperature dependencies for λ, ξ, and ε quantities, and derive an extended model. Afterward, applying the conventional and extended models for the determination of pinning mechanisms in Ba0.66K0.32BiO3 + δ and FeSe superconductor single crystals, in which the thermal fluctuations are weak and jsjc, we demonstrate that the extended model is capable of preventing the determination of pinning mechanisms from leading to confusing or misleading results and can be employed to improve the understanding of pinning mechanisms and regimes in type-II superconductors.

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References

  1. Huse, D.A., Fisher, M.P., Fisher, D.S.: Are superconductors really superconducting? Nature. 358(6387), 553 (1992)

    Article  ADS  Google Scholar 

  2. Blatter, G., Feigel'man, M.V., Geshkenbein, V.B., Larkin, A.I., Vinokur, V.M.: Vortices in high-temperature superconductors. Rev. Mod. Phys. 66(4), 1125 (1994)

    Article  ADS  Google Scholar 

  3. Griessen, R., Hai-Hu, W., Van Dalen, A., Dam, B., Rector, J., Schnack, H., Libbrecht, S., Osquiguil, E., Bruynseraede, Y.: Evidence for mean free path fluctuation induced pinning in YBa2Cu3O7 and YBa2Cu4O8 films. Phys. Rev. Lett. 72(12), 1910 (1994)

    Article  ADS  Google Scholar 

  4. Xiang, F., Wang, X., Xun, X., De Silva, K., Wang, Y., Dou, S.: Evidence for transformation from δTc to δl pinning in MgB2 by graphene oxide doping with improved low and high field Jc and pinning potential. Appl. Phys. Lett. 102(15), 152601 (2013)

    Article  ADS  Google Scholar 

  5. Sundar, S., Salem-Sugui Jr., S., Alvarenga, A., Doria, M., Gu, Y., Li, S., Luo, H., Ghivelder, L.: Strong pinning in the hole-doped pnictide superconductor La0. 34Na0. 66Fe2As2. J. Appl. Phys. 125(12), 123902 (2019)

    Article  ADS  Google Scholar 

  6. Sundar, S., Mosqueira, J., Alvarenga, A., Sóñora, D., Sefat, A., Salem-Sugui Jr., S.: Study of the second magnetization peak and the pinning behaviour in Ba (Fe0. 935Co0. 065) 2As2 pnictide superconductor. Supercond. Sci. Technol. 30(12), 125007 (2017)

    Article  ADS  Google Scholar 

  7. Sundar, S., Salem-Sugui Jr., S., Amorim, H., Wen, H.-H., Yates, K., Cohen, L., Ghivelder, L.: Plastic pinning replaces collective pinning as the second magnetization peak disappears in the pnictide superconductor Ba0.75K0.25Fe2As2. Phys. Rev. B. 95(13), 134509 (2017)

    Article  ADS  Google Scholar 

  8. Vlasenko, V., Pervakov, K., Gavrilkin, S.Y., Eltsev, Y.F.: Unconventional pinning in iron based superconductors of 122 family. Phys. Procedia. 67, 952–957 (2015)

    Article  ADS  Google Scholar 

  9. Leo, A., Grimaldi, G., Guarino, A., Avitabile, F., Nigro, A., Galluzzi, A., Mancusi, D., Polichetti, M., Pace, S., Buchkov, K.: Vortex pinning properties in Fe-chalcogenides. Supercond. Sci. Technol. 28(12), 125001 (2015)

    Article  ADS  Google Scholar 

  10. Bean, C.P.: Magnetization of hard superconductors. Phys. Rev. Lett. 8(6), 250 (1962)

    Article  ADS  Google Scholar 

  11. Bean, C.P.: Magnetization of high-field superconductors. Rev. Mod. Phys. 36(1), 31 (1964)

    Article  ADS  Google Scholar 

  12. Thompson, J., Sun, Y.R., Civale, L., Malozemoff, A., McElfresh, M., Marwick, A., Holtzberg, F.: Effect of flux creep on the temperature dependence of the current density in Y-Ba-Cu-O crystals. Phys. Rev. B. 47(21), 14440 (1993)

    Article  ADS  Google Scholar 

  13. Jirsa, M., Pust, L., Schnack, H., Griessen, R.: Extension of the time window for investigation of relaxation effects in high-Tc superconductors. Physica C: Superconductivity. 207(1-2), 85–96 (1993)

    Article  ADS  Google Scholar 

  14. Yeshurun, Y., Malozemoff, A.: Giant flux creep and irreversibility in an Y-Ba-Cu-O crystal: an alternative to the superconducting-glass model. Phys. Rev. Lett. 60(21), 2202 (1988)

    Article  ADS  Google Scholar 

  15. Pan, A.V., Golovchanskiy, I., Fedoseev, S.: Critical current density: Measurements vs. reality. EPL (Europhysics Letters). 103(1), 17006 (2013)

    Article  ADS  Google Scholar 

  16. Golovchanskiy, I., Pan, A., Shcherbakova, O., Fedoseev, S.: Rectifying differences in transport, dynamic, and quasi-equilibrium measurements of critical current density. J. Appl. Phys. 114(16), 163910 (2013)

    Article  ADS  Google Scholar 

  17. Wen, H.-h., Schnack, H., Griessen, R., Dam, B., Rector, J.: Critical current, magnetization relaxation and activation energies for YBa2Cu3O7 and YBa2Cu4O8 films. Physica C: Superconductivity. 241(3-4), 353–374 (1995)

    Article  ADS  Google Scholar 

  18. Bhoi, D., Mandal, P., Choudhury, P.: Vortex dynamics and second magnetization peak in PrFeAsO0.60 F0.12 superconductor. J. Appl. Phys. 113(18), 183902 (2013)

    Article  ADS  Google Scholar 

  19. Wen, H., Zhao, Z., Xiao, Y., Yin, B., Li, J.: Evidence for flux pinning induced by spatial fluctuation of transition temperatures in single domain (Y1− xPrx)Ba2Cu3O7− δ samples. Physica C: Superconductivity. 251(3-4), 371–378 (1995)

    Article  ADS  Google Scholar 

  20. Ghorbani, S.R., Wang, X., Shahbazi, M., Dou, S., Lin, C.: Fluctuation of mean free path and transition temperature induced vortex pinning in (Ba,K)Fe2As2 superconductors. Appl. Phys. Lett. 100(21), 212601 (2012)

    Article  ADS  Google Scholar 

  21. Schnack, H., Griessen, R., Lensink, J., Hai-Hu, W.: Generalized inversion scheme for the determination of activation energies from flux-creep experiments in high-Tc superconductors. Phys. Rev. B. 48(17), 13178 (1993)

    Article  ADS  Google Scholar 

  22. Malozemoff, A.P., Fisher, M.P.: Universality in the current decay and flux creep of Y-Ba-Cu-O high-temperature superconductors. Phys. Rev. B. 42(10), 6784 (1990)

    Article  ADS  Google Scholar 

  23. Küpfer, H., Keller, C., Meier-Hirmer, R., Wiech, U., Salama, K., Selvamanickam, V., Green, S., Luo, H., Politis, C.: Short-time relaxation of the critical current in oriented grained YBa2Cu3Ox and granular (Bi,Pb)2Sr2Ca2 Cu3Ox. Phys. Rev. B. 41(1), 838 (1990)

  24. Pham, D., Jung, S.-G., Song, K., Ranot, M., Lee, J., Lee, N., Kang, W.: Effect of vortex-vortex interactions on the critical current density of single-crystalline MgB2 thin films. Curr. Appl. Phys. 16(9), 1046–1051 (2016)

    Article  ADS  Google Scholar 

  25. London, F.: Superfluids: Macroscopic theory of superconductivity. Dover Publications (1961)

  26. Orlando, T.P., Delin, K.A.: Foundations of applied superconductivity. Addison-Wesley, Reading (1991)

  27. Tinkham, M.: Introduction to superconductivity. Courier Corporation (2004)

  28. Eom, C., Sun, J., Lairson, B., Streiffer, S., Marshall, A., Yamamoto, K., Anlage, S., Bravman, J., Geballe, T., Laderman, S.: Synthesis and properties of YBa2Cu3O7 thin films grown in situ by 90° off-axis single magnetron sputtering. Physica C: Superconductivity. 171(3-4), 354–383 (1990)

    Article  ADS  Google Scholar 

  29. Anlage, S.M., Langley, B.W., Deutscher, G., Halbritter, J., Beasley, M.: Measurements of the temperature dependence of the magnetic penetration depth in YBa2Cu3O7− δ superconducting thin films. Phys. Rev. B. 44(17), 9764 (1991)

    Article  ADS  Google Scholar 

  30. Pronin, A., Pimenov, A., Loidl, A., Krasnosvobodtsev, S.: Optical conductivity and penetration depth in MgB2. Phys. Rev. Lett. 87(9), 097003 (2001)

    Article  ADS  Google Scholar 

  31. Chen, X., Xue, Y., Meng, R., Chu, C.: Penetration depth and anisotropy in MgB2. Phys. Rev. B. 64(17), 172501 (2001)

    Article  ADS  Google Scholar 

  32. Pakulis, E., Sandstrom, R., Chaudhari, P., Laibowitz, R.: Temperature dependence of microwave losses in Y-Ba-Cu-O films. Appl. Phys. Lett. 57(9), 940–942 (1990)

    Article  ADS  Google Scholar 

  33. Kortyka, A., Puzniak, R., Wisniewski, A., Zehetmayer, M., Weber, H., Tang, C., Yao, X., Conder, K.: Evidence for a temperature dependent anisotropy of the superconducting state parameters in underdoped SmBa2Cu3Ox. Phys. Rev. B. 82(5), 054510 (2010)

    Article  ADS  Google Scholar 

  34. Tao, J., Deng, Q., Yang, H., Wang, Z., Zhu, X., Wen, H.-H.: Magnetization relaxation, critical current density, and vortex dynamics in a Ba0.66K0.32BiO3 + δ single crystal. Phys. Rev. B. 91(21), 214516 (2015)

    Article  ADS  Google Scholar 

  35. Sun, Y., Pyon, S., Tamegai, T., Kobayashi, R., Watashige, T., Kasahara, S., Matsuda, Y., Shibauchi, T.: Critical current density, vortex dynamics, and phase diagram of single-crystal FeSe. Phys. Rev. B. 92(14), 144509 (2015)

    Article  ADS  Google Scholar 

  36. Jiao, Y., Cheng, W., Deng, Q., Yang, H., Wen, H.-H.: Collective vortex pinning and crossover between second order to first order transition in optimally doped Ba1-xKxBiO3 single crystals. arXiv preprint arXiv:1701.01346 (2017).

  37. Yang, H., Chen, G., Zhu, X., Xing, J., Wen, H.-H.: BCS-like critical fluctuations with limited overlap of Cooper pairs in FeSe. Phys. Rev. B. 96(6), 064501 (2017)

    Article  ADS  Google Scholar 

  38. Ketterson, J.B., Ketterson, J.B., Song, S.N.: Superconductivity. Cambridge University Press (1999)

  39. Barilo, S., Shiryaev, S., Gatalskaya, V., Lynn, J., Baran, M., Szymczak, H., Szymczak, R., Dew-Hughes, D.: Scaling of magnetization and some basic parameters of Ba1− xKxBiO3 + y superconductors near T c. Phys. Rev. B. 58(18), 12355 (1998)

    Article  ADS  Google Scholar 

  40. Abdel-Hafiez, M., Ge, J., Vasiliev, A., Chareev, D., Van de Vondel, J., Moshchalkov, V., Silhanek, A.: Temperature dependence of lower critical field Hc1 (t) shows nodeless superconductivity in FeSe. Phys. Rev. B. 88(17), 174512 (2013)

    Article  ADS  Google Scholar 

  41. Lin, J.-Y., Hsieh, Y., Chareev, D., Vasiliev, A., Parsons, Y., Yang, H.: Coexistence of isotropic and extended s-wave order parameters in FeSe as revealed by low-temperature specific heat. Phys. Rev. B. 84(22), 220507 (2011)

    Article  ADS  Google Scholar 

  42. Koblischka, M.R., Van Dalen, A., Higuchi, T., Yoo, S., Murakami, M.: Analysis of pinning in NdBa2Cu3O7 − δ superconductors. Phys. Rev. B. 58(5), 2863 (1998)

    Article  ADS  Google Scholar 

  43. Dew-Hughes, D.: Flux pinning mechanisms in type II superconductors. Philos. Mag. 30(2), 293–305 (1974)

    Article  ADS  Google Scholar 

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Acknowledgments

This work was supported by Ferdowsi University of Mashhad (Grant no. 3/8561).

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Correspondence to Mohammad Hosseinzadeh or Shaban Reza Ghorbani.

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Hosseinzadeh, M., Ghorbani, S.R. & Arabi, H. On the Determination of Pinning Mechanisms and Regimes in Type-II Superconductors with Weak Thermal Fluctuations. J Supercond Nov Magn 33, 971–980 (2020). https://doi.org/10.1007/s10948-019-05356-6

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