Misorientation angle dependence of the critical current in HTS bicrystals with low-angle [001]-tilt grain boundaries

Dependence of the critical current on the misorientation angle in high-temperature superconductor (HTS) [001]-tilt bicrystal is theoretically examined. It’s argued that in the case of relatively small values of the bicrystal misorientation angle θ (θ ≤ 10–15°) the critical current as well as the resistive state emergence are determined by depinning of Abrikosov vortices, which are locked by c-oriented edge dislocations which form the low-angle [001]-tilt grain boundary and are aligned in a linear row along it. Dependence of the depinning critical current on the misorientation angle of bicrystal is calculated for this case and it reveals a good agreement with experimental data obtained on HTS bicrystals with low-angle [001]-tilt grain boundaries.

Key words: superconductor, bicrystal, grain boundary, Abrikosov vortex, dislocation, pinning, critical current.

References

1. D. Larbalestier, A. Gurevich, D. M. Feldmann, and A. Polyanskii, Nature 414, 368 (2001). CrossRef Google Scholar

2. S. R. Foltyn, L. Civale, J. L. MacManus-Driscoll, Q. X. Jia, B. Maiorov, H. Wang, and M. Maley, Nature Mater. 6, 631 (2007). CrossRef Google Scholar

3. B. Maiorov, S. A. Baily, H. Zhou, O. Ugurlu, J. A. Kennison, P. C. Dowden, T. G. Holesinger, S. R. Foltyn, and L. Civale, Nature Mater. 8, 398 (2009). CrossRef Google Scholar

4. K. Matsumoto and P. Mele, Supercond. Sci. Technol. 23, 014001 (2010). CrossRef Google Scholar

5. X. Obradors, T. Puig, A. Palau, A. Pomar, F. Sandiumenge, P. Mele, and K. Matsumoto, in Comprehensive Nanoscience and Technology (Elsevier, Amsterdam, 2011), Vol. 3, p. 303. Google Scholar

6. M. Miura, B. Maiorov, J. O. Willis, T. Kato, M. Sato, T. Izumi, Y. Shiohara, and L. Civale, Supercond. Sci. Technol. 26, 035008 (2013). CrossRef Google Scholar

7. X. Obradors and T. Puig, Supercond. Sci. Technol. 27, 044003 (2014). CrossRef Google Scholar

8. P. Mele, A. Crisan, and M. I. Adam, âPinning-Engineered YBa2Cu3Ox thin films,â in Vortices and Nanostructured Su-Perconductors, edited by A. Crisan (Springer Series in Materials Science, Springer, Cham, 2017), Vol. 261, p. 15. Google Scholar

9. W. K. Kwok, U. Welp, A. Glatz, A. E. Koshelev, K. J. Kihlstrom, and G. W. Crabtree, Rep. Prog. Phys. 79, 116501 (2016). CrossRef Google Scholar

10. R. WÃ¶rdenweber, Phys. Sci. Rev. 2(8), 20178000 (2017). Google Scholar

11. I. A. Sadovskyy, Y. Jia, M. Leroux, J. Kwon, H. Hu, L. Fang, C. Chaparro, S. Zhu, U. Welp, J.-M. Zuo, Y. Zhang, R. Nakasaki, V. Selvamanickam, G. W. Crabtree, A. E. Koshelev, A. Glatz, and W.-K. Kwok, Adv. Mater. 28, 4593 (2016). CrossRef Google Scholar

12. I. A. Sadovskyy, A. E. Koshelev, W.-K. Kwok, U. Welp, and A. Glatz, Proc. Natl. Acad. Sci. U.S.A. (PNAS) 116, 10291 (2019). CrossRef Google Scholar

13. A. K. Jha and K. Matsumoto, Front. Phys. 7, 82 (2019). CrossRef Google Scholar

14. L. Civale, Proc. Natl. Acad. Sci. U.S.A. (PNAS) 116, 10201 (2019). CrossRef Google Scholar

15. J. E. Evetts, Supercond. Sci. Technol. 17, S315 (2004). CrossRef Google Scholar

16. J. H. Durrell and N. A. Rutter, Supercond. Sci. Technol. 22, 013001 (2009). CrossRef Google Scholar

17. H. Hilgenkamp and J. Mannhart, Rev. Mod. Phys. 74, 485 (2002). CrossRef Google Scholar

18. F. Tafuri and J. R. Kirtley, Rep. Prog. Phys. 68, 2573 (2005). CrossRef Google Scholar

19. D. M. Feldmann, T. G. Holesinger, R. Feenstra, C. Cantoni, W. Zhang, M. Rupich, X. Li, J. H. Durrell, A. Gurevich, and D. C. Larbalestier, J. Appl. Phys. 102, 083912 (2007). CrossRef Google Scholar

20. N. F. Heinig, R. D. Redwing, J. E. Nordman, and D. Larbalestier, Phys. Rev. B 60, 1409 (1999). CrossRef Google Scholar

21. R. Held, C. W. Schneider, J. Mannhart, L. F. Allard, K. L. More, and A. Goyal, Phys. Rev. B 79, 014515 (2009). CrossRef Google Scholar

22. S. E. Babcock and J. L. Vargas, Annu. Rev. Mater. Sci. 25, 193 (1995). CrossRef Google Scholar

23. C.-Y. Yang, S. E. Babcock, A. Ichinose, A. Goyal, D. M. Kroeger, D. F. Lee, F. A. List, D. P. Norton, J. E. Mathis, M. Paranthaman, and C. Park, Physica C 377, 333 (2002). CrossRef Google Scholar

24. I.-F. Tsu, J.-L. Wang, D. L. Kaiser, and S. E. Babcock, Physica C 306, 163 (1998). CrossRef Google Scholar

25. A. Gurevich and E. A. Pashitskii, Phys. Rev. B 57, 13878 (1998). CrossRef Google Scholar

26. G. Deutscher, Appl. Phys. Lett. 96, 122502 (2010). CrossRef Google Scholar

27. S. Graser, P. J. Hirschfeld, T. Kopp, R. Gutser, B. M. Andersen, and J. Mannhart, Nature Phys. 6, 609 (2010). CrossRef Google Scholar

28. B. Kalisky, J. R. Kirtley, E. A. Nowadnick, R. B. Dinner, E. Zeldov, Ariando, S. Wenderich, H. Hilgenkamp, D. M. Feldmann, and K. A. Moler, Appl. Phys. Lett. 94, 202504 (2009). CrossRef Google Scholar

29. A. Diaz, L. Mechin, P. Berghuis, and J. E. Evetts, Phys. Rev. Lett. 80, 3855 (1998). CrossRef Google Scholar

30. M. J. Hogg, F. Kahlmann, E. J. Tarte, Z. H. Barber, and J. E. Evetts, Appl. Phys. Lett. 78, 1433 (2001). CrossRef Google Scholar

31. A. Diaz, L. Mechin, P. Berghuis, and J. E. Evetts, Phys. Rev. B 58, R2960 (1998). CrossRef Google Scholar

32. J. H. Durrell, M. J. Hogg, F. Kahlmann, Z. H. Barber, M. G. Blamire, and J. E. Evetts, Phys. Rev. Lett. 90, 247006 (2003). CrossRef Google Scholar

33. T. Horide and K. Matsumoto, Phys. Rev. B 77, 132502 (2008). CrossRef Google Scholar

34. T. Horide, K. Matsumoto, Y. Yoshida, M. Mukaida, A. Ichinose, and S. Horii, Physica C 463â465, 678 (2007). CrossRef Google Scholar

35. A. Gurevich, Phys. Rev. B 65, 214531 (2002). CrossRef Google Scholar

36. V. M. Pan, G. G. Kaminsky, A. L. Kasatkin, M. A. Kuznetsov, V. G. Prokhorov, and C. G. Tretiatchenko, IEEE Trans. Magn. 27, 1021 (1991). CrossRef Google Scholar

37. V. V. Chabanenko, A. A. Prodan, V. A. Shklovskij, A. V. Bondarenko, M. A. Obolenskii, H. Szymczak, and S. Piechota, Physica C 314, 133 (1999). CrossRef Google Scholar

38. V. A. Shklovskij and O. V. Dobrovolskiy, Phys. Rev. B 74, 104511 (2006). CrossRef Google Scholar

39. O. K. Soroka, V. A. Shklovskij, and M. Huth, Phys. Rev. B 76, 014504 (2007). CrossRef Google Scholar

40. R. Besseling, T. DrÃ¶se, V. M. Vinokur, and P. H. Kes, Europhys Lett. 62, 419 (2003). CrossRef Google Scholar

41. G. Blatter, M. V. Feigelâman, V. B. Geshkenbein, A. I. Larkin, and V. M. Vinokur, Rev. Mod. Phys. 66, 1125 (1994). CrossRef Google Scholar

42. E. A. Pashitskii and V. I. Vakaryuk, Fiz. Nizk. Temp. 28, 16 (2002) [Low Temp. Phys. 28, 11 (2002)]. CrossRef Google Scholar

43. V. A. Fedirko, A. L. Kasatkin, and S. V. Polyakov, Phys. Metals Metallogr. 117, 864 (2016). CrossRef Google Scholar

44. V. A. Fedirko, A. L. Kasatkin, and S. V. Polyakov, J. Low Temp. Phys. 192, 359 (2018). CrossRef Google Scholar

45. A. L. Kasatkin, V. M. Pan, and H. C. Freyhardt, IEEE Trans. Appl. Supercond. 7, 1588 (1997). CrossRef Google Scholar

46. T. Katase, Y. Ishimaru, A. Tsukamoto, H. Hiramatsu, T. Kamiya, K. Tanabe, and H. Hosono, Nature Commun. 2(409), 1 (2011). CrossRef Google Scholar

47. J. H. Durrell, C.-B. Eom, A. Gurevich, E. E. Hellstrom, C. Tarantini, A. Yamamoto, and D. C. Larbalestier, Rep. Prog. Phys. 74, 124511 (2011). CrossRef Google Scholar

48. A. Gurevich and L. D. Cooley, Phys. Rev. B 50, 13563 (1994). CrossRef Google Scholar

49. X. Y. Cai, A. Gurevich, I.-F. Tsu, D. L. Kaiser, S. E. Babcock, and D. C. Larbalestier, Phys. Rev. B 57, 10951 (1998). CrossRef Google Scholar

50. D. Kim, P. Berghius, M. B. Field, D. J. Miller, K. E. Gray, R. Feenstra, and D. K. Christen, Phys. Rev. B 62, 12505 (2000). CrossRef Google Scholar

51. A. Gurevich, M. S. Rzchowski, G. Daniels, S. Patnaik, B. M. Hinaus, F. Garillo, F. Tafuri, and D. C. Larbalestier, Phys. Rev. Lett. 88, 097001 (2002). CrossRef Google Scholar

52. M. V. Fistul, Sov. Phys. JETP 69, 209 (1989). Google Scholar

53. V. N. Gubankov, M. P. Lisitskii, J. L. Serpuchenko, and M. V. Fistul, Sov. Phys. JETP 73, 734 (1991). Google Scholar

54. M. V. Fistulâ and G. F. Giuliani, Phys. Rev. B 58, 9343 (1998). CrossRef Google Scholar

55. K. Yu, M. B. S. Hesselberth, P. H. Kes, and B. L. T. Plourde, Phys. Rev. B 81, 184503 (2010). CrossRef Google Scholar

56. R. WÃ¶rdenweber, E. Hollmann, J. Schubert, R. Kutzner, and G. Panaitov, Phys. Rev. B 85, 064503 (2012). CrossRef Google Scholar

57. O. V. Dobrovolskiy and M. Huth, Appl. Phys. Lett. 106, 142601 (2015). CrossRef Google Scholar

58. O. V. Dobrovolskiy, V. M. Bevz, E. Begun, R. Sachser, R. V. Vovk, and M. Huth, Phys. Rev. Appl. 11, 054064 (2019). CrossRef Google Scholar

59. J. C. Keay, P. R. Larson, K. L. Hobbs, M. B. Johnson, J. R. Kirtley, O. M. Auslaender, and K. A. Moler, Phys. Rev. B 80, 165421 (2009). CrossRef Google Scholar

60. P. Sabatino, C. Cirillo, G. Carapella, M. Trezza, and C. Attanasio, J. Appl. Phys. 108, 053906 (2010). CrossRef Google Scholar

61. A. V. Silhanek, L. Van Look, R. Jonckheere, B. Y. Zhu, S. Raedts, and V. V. Moshchalkov, Phys. Rev. B 72, 014507 (2005). CrossRef Google Scholar

62. I. Swiecicki, C. Ulysse, T. Wolf, R. Bernard, N. Bergeal, J. Briatico, G. Faini, J. Lesueur, and J. E. Villegas, Phys. Rev. B 85, 224502 (2012). CrossRef Google Scholar

63. A. Hoffmann, P. Prieto, and I. K. Schuller, Phys. Rev. B 61, 6958 (2000). CrossRef Google Scholar

64. M. J. van Bael, L. van Look, K. Temst, M. Lange, J. Bekaert, U. May, G. Guntherodt, V. V. Moshchalkov, and Y. Bruynseraede, Physica C 332, 12 (2000). CrossRef Google Scholar