Behavior of the Second Magnetization Peak in Self-nanostructured La2–xSrxCuO4 Single Crystals

  • Lucica Miu
  • Alina M. Ionescu
  • Dana Miu
  • Ion Ivan
  • Adrian Crisan
Chapter
Part of the Springer Series in Materials Science book series (SSMATERIALS, volume 261)

Abstract

The occurrence of a second magnetization peak (SMP) on the dc magnetic hysteresis curves of superconducting single crystals with randomly distributed vortex pinning centers is quite common. However, the origin of this effect is still under debate. The investigation of the SMP in “self-nanostructured” (striped) La2x Sr x CuO4 single crystals can offer useful information about its nature. Optimally doped and overdoped specimens (x ≥ 0.15) exhibit an SMP in a large temperature interval. By decreasing x, with the external magnetic field oriented along the crystallographic c-axis, the SMP completely disappears in the doping domain of well-developed static charge and spin stripes (x ~ 1/8) and reappears for x ≤ 0.10. This behavior follows the instability of the quasi-ordered vortex solid (the Bragg vortex glass) in the presence of static stripe order (as revealed using small-angle neutron scattering experiments), which is confirmed by the determined temperature variation of the normalized vortex-creep activation energy . If the applied field is parallel to the (a, b) planes, the SMP occurs even for specimens with static stripes, accompanied by an elastic vortex creep –plastic creep crossover. The results support the scenario in which the SMP is generated by the pinning-induced disordering of the Bragg vortex glass in the dynamic conditions of dc magnetic measurements. According to this model, for a specimen without macroscopic inhomogeneities in the pinning distribution and exhibiting an SMP, no features related to an anomalous peak effect (close to the irreversibility line) or to a first-order vortex-lattice melting should appear on the dc magnetization curves or in the ac magnetic response . This leads to a simple vortex phase diagram for the investigated system.

Notes

Acknowledgements

This work has been supported by the POC Project P_37_697 (28/01.09.2016). The kind assistance of the Alexander von Humboldt Foundation is gratefully acknowledged. Thanks are due to T. Adachi, K. Omori, Y. Koike, and J. Mosqueira, providing us with the single crystal specimens.

References

  1. 1.
    W. De Sorbo, Rev. Mod. Phys. 36, 90 (1964)ADSCrossRefGoogle Scholar
  2. 2.
    A.B. Pippard, Philos. Mag. 19, 217 (1969)ADSCrossRefGoogle Scholar
  3. 3.
    A.I. Larkin, YuN Ovchinnikov, J. Low Temp. Phys. 93, 409 (1979)ADSCrossRefGoogle Scholar
  4. 4.
    S. Bhattacharya, M.J. Higgins, Phys. Rev. Lett. 70, 2617 (1993)ADSCrossRefGoogle Scholar
  5. 5.
    T. Matsushita, Flux Pinning in Superconductors (Springer, Heidelberg, 2007), p. 325Google Scholar
  6. 6.
    Y. Paltiel et al., Phys. Rev. Lett. 85, 3712 (2000)ADSCrossRefGoogle Scholar
  7. 7.
    A.M. Troyanovski, M. van Hecke, N. Saha, J. Aarts, P.H. Kes, Phys. Rev. Lett. 89, 147006 (2002)Google Scholar
  8. 8.
    Y. Fasano, M. Menghini, F. de la Cruz, Y. Paltiel, Y. Myasoedov, E. Zeldov, M.J. Higgins, S. Bhattacharya, Phys. Rev. B 66, 020512(R) (2002)ADSCrossRefGoogle Scholar
  9. 9.
    I.K. Dimitrov, N.D. Daniilidis, C. Elbaum, J.W. Lynn, X.S. Ling, Phys. Rev. Lett. 99, 047001 (2007)ADSCrossRefGoogle Scholar
  10. 10.
    M.M. Bermúdez, E.R. Louden, M.R. Eskildsen, C.D. Dewhurst, V. Bekeris, G. Pasquini, arXiv:1701.08798v1 [cond-mat.supr-con] 30 Jan 2017
  11. 11.
    W.K. Kwok, J.A. Fendrich, C.J. van der Beek, G.W. Crabtree, Phys. Rev. Lett. 73, 2614 (1994)ADSCrossRefGoogle Scholar
  12. 12.
    J. Giapintzakis, R.L. Neiman, D.M. Ginsberg, M.A. Kirk, Phys. Rev. B 50, 16001 (1994)ADSCrossRefGoogle Scholar
  13. 13.
    T. Ishida, K. Okuda, H. Asaoka, Phys. Rev. B 56, 5128 (1997)Google Scholar
  14. 14.
    A. Houghton, R.A. Pelcovits, A. Sudbø, Phy. Rev. B 40, 6763 (1989)ADSCrossRefGoogle Scholar
  15. 15.
    E. Zeldov, D. Majer, M. Konczykowski, V.B. Geshkenbein, V.M. Vinokur, H. Shtrikman, Nature (London) 375, 373 (1995)ADSCrossRefGoogle Scholar
  16. 16.
    M. Däumling, J.M. Seuntjens, D.C. Larbalestier, Nature (London) 346, 332 (1990)ADSCrossRefGoogle Scholar
  17. 17.
    V.N. Kopylov, A.E. Koshelev, I.F. Schegolev, T.G. Togonidze, Physica C 170, 291 (1990)ADSCrossRefGoogle Scholar
  18. 18.
    B. Khaykovich, E. Zeldov, D. Majer, T.W. Li, P.H. Kes, M. Konczykowski, Phys. Rev. Lett. 76, 2555 (1996)ADSCrossRefGoogle Scholar
  19. 19.
    G. Blatter, V.M. Feigel’man, V.B. Geshkenbein, A.I. Larkin, V.M. Vinokur, Rev. Mod. Phys. 66, 1125 (1994), and references thereinGoogle Scholar
  20. 20.
    T. Sasagawa, Y. Togawa, J. Shimoyama, A. Kapitulnik, K. Kitazawa, K. Kishio, Phys. Rev. B 61, 1610 (2000)ADSCrossRefGoogle Scholar
  21. 21.
    S.L. Li, H.-H. Wen, Phys. Rev. B 65, 214515 (2002)ADSCrossRefGoogle Scholar
  22. 22.
    L. Miu, Physica C 405, 260 (2004)ADSCrossRefGoogle Scholar
  23. 23.
    R. Prozorov, N. Ni, M.A. Tanatar, V.G. Kogan, R.T. Gordon, C. Martin, E.C. Blomberg, P. Prommapan, J.Q. Yan, S.L. Bud’ko, P.C. Canfield, Phys. Rev. B 78, 224506 (2008)Google Scholar
  24. 24.
    P. Das, A.D. Thakur, A.K. Yadav, C.V. Tomy, M.R. Lees, G. Balakrishnan, S. Ramakrishnan, A.K. Grover, Phys. Rev. B 84, 214526 (2011)ADSCrossRefGoogle Scholar
  25. 25.
    M. Bonura, E. Giannini, R. Viennois, C. Senatore, Phys. Rev. B 85, 134532 (2012)ADSCrossRefGoogle Scholar
  26. 26.
    S. Salem-Sugui Jr., J. Mosqueira, A.D. Alvarenga, D. Sóñora, E.P. Herculano, D. Hu, G. Chen, H. Luo, Supercond. Sci. Technol. 28, 055017 (2015)CrossRefGoogle Scholar
  27. 27.
    W. Zhou, X. Xing, W. Wu, H. Zhao, Z. Shi, Sci. Rep. 6, 22278 (2016)ADSCrossRefGoogle Scholar
  28. 28.
    N. Chikumoto, M. Konczykowski, N. Motohira, A.P. Malozemoff, Phys. Rev. Lett. 69, 1260 (1992)ADSCrossRefGoogle Scholar
  29. 29.
    L. Krusin-Elbaum, L. Civale, V.M. Vinokur, F. Holtzberg, Phys. Rev. Lett. 69, 2280 (1992)ADSCrossRefGoogle Scholar
  30. 30.
    L. Klein, E.R. Yacoby, Y. Yeshurun, A. Erb, G. Müller-Vogt, V. Breit, H. Wühl, Phys. Rev. B 49, 4403 (1994)ADSCrossRefGoogle Scholar
  31. 31.
    G.K. Perkins, L.F. Cohen, A.A. Zhukov, A.D. Caplin, Phys. Rev. B 51, 8513 (1995)ADSCrossRefGoogle Scholar
  32. 32.
    M.F. Goffman, J.A. Herbsommer, F. de la Cruz, T.W. Li, P.H. Kes, Phys. Rev. B 57, 3663 (1998)ADSCrossRefGoogle Scholar
  33. 33.
    Y. Kopelevich, P. Esquinazi, Solid State Commun. 122, 33 (2002)ADSCrossRefGoogle Scholar
  34. 34.
    D. Giller, A. Shaulov, R. Prozorov, Y. Abulafia, Y. Wolfus, L. Burlachkov, Y. Yeshurun, E. Zeldov, V.M. Vinokur, J.L. Peng, R.L. Greene, Phys. Rev. Lett. 79, 2542 (1997)ADSCrossRefGoogle Scholar
  35. 35.
    Y. Radzyner, A. Shaulov, Y. Yeshurun, I. Felner, K. Kishio, J. Shimoyama, Phys. Rev. B 65, 214525 (2002)ADSCrossRefGoogle Scholar
  36. 36.
    B. Rosenstein, B. Ya, Shapiro, I. Shapiro, Y. Bruckental, A. Shaulov, Y. Yeshurun, Phys. Rev. B 72, 144512 (2005)Google Scholar
  37. 37.
    R. Kopeliansky, A. Shaulov, B. Ya, Shapiro, Y. Yeshurun, B. Rosenstein, J.J. Tu, L.J. Li, G.H. Cao, Z.A. Xu, Phys. Rev. B 81, 092504 (2010)Google Scholar
  38. 38.
    Y. Sun, S. Pyon, T. Tamegai, R. Kobayashi, T. Watashige, S. Kasahara, Y. Matsuda, T. Shibauchi, Phys. Rev. B 92, 144509 (2015)ADSCrossRefGoogle Scholar
  39. 39.
    M. Jirsa, L. Průst, D. Dlouhý, M.R. Koblischka, Phys. Rev. B 55, 3276 (1997)ADSCrossRefGoogle Scholar
  40. 40.
    J. Tao, Q. Deng, Z. Wang, X. Zhu, H.-H. Wen, Phys. Rev. B 91, 214516 (2015)ADSCrossRefGoogle Scholar
  41. 41.
    Z.F. Wu, Z.H. Wang, J. Tao, L. Qiu, S.G. Yang, H.-H. Wen, Supercond. Sci. Technol. 29, 035006 (2016)ADSCrossRefGoogle Scholar
  42. 42.
    T. Nattermann, Phys. Rev. Lett. 64, 2454 (1990)ADSCrossRefGoogle Scholar
  43. 43.
    T. Giamarchi, P. Le Doussal, Phys. Rev. B 55, 6577 (1997)ADSCrossRefGoogle Scholar
  44. 44.
    Y. Abulafia, A. Shaulov, Y. Wolfus, R. Prozorov, L. Burlachkov, Y. Yeshurun, D. Majer, E. Zeldov, H. Wühl, V.B. Geshkenbein, V.M. Vinokur, Phys. Rev. Lett. 77, 1596 (1996)ADSCrossRefGoogle Scholar
  45. 45.
    H. Küpfer, Th. Wolf, C. Lessing, A.A. Zhukov, X. Lançon, R. Maier-Hirmer, W. Schauer, H. Wühl, Phys. Rev. B 58, 2886 (1998)ADSCrossRefGoogle Scholar
  46. 46.
    L. Miu, E. Cimpoiasu, T. Stein, C.C. Almasan, Physica C 334, 1 (2000)ADSCrossRefGoogle Scholar
  47. 47.
    L. Miu, T. Noji, Y. Koike, E. Cimpoiasu, T. Stein, C.C. Almasan, Phys. Rev. B 62, 15172 (2000)ADSCrossRefGoogle Scholar
  48. 48.
    S. Salem-Sugui Jr., L. Ghivelder, A.D. Alvarenga, L.F. Cohen, K.A. Yates, K. Morrison, J.L. Pimentel Jr., H. Luo, Z. Wang, H.-H. Wen, Phys. Rev. B 82, 054513 (2010)ADSCrossRefGoogle Scholar
  49. 49.
    N. Haberkorn, B. Maiorov, I.O. Usov, M. Weigand, W. Hirata, S. Miyasaka, S. Tajima, N. Chikumoto, K. Tanabe, L. Civale, Phys. Rev. B 85, 014522 (2012)ADSCrossRefGoogle Scholar
  50. 50.
    D. Miu, T. Noji, T. Adachi, Y. Koike, L. Miu, Supercond. Sci. Technol. 25, 115009 (2012)ADSCrossRefGoogle Scholar
  51. 51.
    D. Bhoi, P. Mandal, P. Choudhury, J. Appl. Phys. 113, 183902 (2013)ADSCrossRefGoogle Scholar
  52. 52.
    J. Zaanen, O. Gunnarsson, Phys. Rev. B 40, R7391 (1989)ADSCrossRefGoogle Scholar
  53. 53.
    V.J. Emery, S.A. Kivelson, Q.H. Lin, Phys. Rev. Lett. 64, 475 (1990)ADSCrossRefGoogle Scholar
  54. 54.
    P. Abbamonte, A. Rusydi, S. Smadici, G.D. Gu, G.A. Sawatzky, D.L. Feng, Nat. Phys. 1, 155 (2005)CrossRefGoogle Scholar
  55. 55.
    J.M. Tranquada, B.J. Sternlieb, J.D. Axe, Y. Nakamura, S. Uchida, Nature 375, 561 (1995)ADSCrossRefGoogle Scholar
  56. 56.
    J.T. Park et al., Phys. Rev. Lett. 102, 117006 (2009)ADSCrossRefGoogle Scholar
  57. 57.
    B. Lake et al., Nature 415, 299 (2002)ADSCrossRefGoogle Scholar
  58. 58.
    A.R. Moodenbaugh, Y. Xu, M. Suenaga, T.J. Folkerts, R.N. Shelton, Phys. Rev. B 38, 4596 (1988)ADSCrossRefGoogle Scholar
  59. 59.
    K. Kumagai, Y. Nakamura, Y. Watanabe, Y. Nakamichi, H. Nakajima, J. Magn. Magn. Mater. 76–77, 601 (1988)CrossRefGoogle Scholar
  60. 60.
    Y. Koike, A. Kobayashi, T. Kawaguchi, M. Kato, T. Noji, Y. Ono, T. Hikita, Y. Saito, Solid State Commun. 82, 889 (1992)ADSCrossRefGoogle Scholar
  61. 61.
    T. Adachi, K. Omori, Y. Tanabe, Y. Koike, J. Phys. Soc. Japan 78, 114707 (2009)ADSCrossRefGoogle Scholar
  62. 62.
    T. Suzuki, T. Goto, K. Chiba, T. Shinoda, T. Fukase, H. Kimura, K. Yamada, M. Ohashi, Y. Yamaguchi, Phys. Rev. B 57, R3229 (1988)ADSCrossRefGoogle Scholar
  63. 63.
    I. Watanabe, T. Adachi, K. Takahashi, S. Yairi, Y. Koike, K. Nagamine, Phys. Rev. B 65, 180516 (2002)ADSCrossRefGoogle Scholar
  64. 64.
    J. Chang et al., Phys. Rev. B 85, 134520 (2012), and references thereinGoogle Scholar
  65. 65.
    C.P. Bean, Phys. Rev. Lett. 8, 250 (1962)ADSCrossRefGoogle Scholar
  66. 66.
    E.M. Gyorgy, R.B. van Dover, K.A. Jackson, L.F. Schneemeyer, J.V. Waszczak, Appl. Phys. Lett. 55, 283 (1989)ADSCrossRefGoogle Scholar
  67. 67.
    Y. Yeshurun, A.P. Malozemoff, A. Shaulov, Rev. Mod. Phys. 68, 911 (1996)ADSCrossRefGoogle Scholar
  68. 68.
    C.J. van der Beek, M. Konczykowski, S. Kasahara, T. Terashima, R. Okazaki, T. Shibauchi, Y. Matsuda, Phys. Rev. Lett. 105, 267002 (2010)ADSCrossRefGoogle Scholar
  69. 69.
    Y. Tanabe, T. Adachi, K. Omori, H. Sato, T. Noji, Y. Koike, J. Phys. Soc. Jpn. 76, 113706 (2007)ADSCrossRefGoogle Scholar
  70. 70.
    G.P. Mikitik, E.H. Brandt, Phys. Rev. B 64, 184514 (2001)ADSCrossRefGoogle Scholar
  71. 71.
    R. Gilardi et al., Phys. Rev. Lett. 88, 217003 (2002)ADSCrossRefGoogle Scholar
  72. 72.
    L. Miu, Y. Tanabe, T. Adachi, Y. Koike, D. Miu, G. Jakob, H. Adrian, Phys. Rev. B 78, 024520 (2008)ADSCrossRefGoogle Scholar
  73. 73.
    M.P. Maley, J.O. Willis, H. Lessure, M.E. McHenry, Phys. Rev. B 42, 2639 (1990)ADSCrossRefGoogle Scholar
  74. 74.
    G. Pasquini, L. Civale, H. Lanza, G. Nieva, Phys. Rev. B 59, 9627 (1999)ADSCrossRefGoogle Scholar
  75. 75.
    M. Zehetmayer, Sci. Rep. 5, 9244 (2015)ADSCrossRefGoogle Scholar
  76. 76.
    L. Miu, T. Adachi, K. Omori, Y. Koike, D. Miu, Phys. Rev B 82, 064520 (2010)ADSCrossRefGoogle Scholar
  77. 77.
    R. Khasanov, M. Bendele, A. Amato, K. Conder, H. Keller, H.-H. Klauss, H. Luetkens, E. Pomjakushina, Phys. Rev. Lett. 104, 087004 (2010)ADSCrossRefGoogle Scholar
  78. 78.
    A.P. Malozemoff, Physica C 185–189, 264 (1991)CrossRefGoogle Scholar
  79. 79.
    P.W. Anderson, Y.B. Kim, Rev. Mod. Phys. 36, 39 (1964)ADSCrossRefGoogle Scholar
  80. 80.
    L. Miu, D. Miu, T. Petrisor, A. El-Tahan, G. Jakob, H. Adrian, Phys. Rev. B 78, 212508 (2008)ADSCrossRefGoogle Scholar
  81. 81.
    M.V. Feigel’man, V.B. Geshkenbein, A.I. Larkin, V.M. Vinokur, Phys. Rev. Lett. 63, 2303 (1989)ADSCrossRefGoogle Scholar
  82. 82.
    L. Miu, D. Miu, Supercond. Sci. Technol. 23, 025033 (2010)ADSCrossRefGoogle Scholar
  83. 83.
    L. Miu, A.M. Ionescu, I. Ivan, D. Miu, T. Adachi, K. Omori, Y. Koike, Physica C 519, 79 (2015)ADSCrossRefGoogle Scholar
  84. 84.
    U. Divakar et al., Phys. Rev. Lett. 92, 237004 (2004)ADSCrossRefGoogle Scholar
  85. 85.
    M. Kofu, S.-H. Lee, M. Fujita, H.-J. Kang, H. Eisaki, K. Yamada, Phys. Rev. Lett. 102, 047001 (2009)ADSCrossRefGoogle Scholar
  86. 86.
    S. Kohout, T. Schneider, J. Roos, H. Keller, T. Sasagawa, H. Takagi, Phys. Rev. B 76, 064513 (2007)ADSCrossRefGoogle Scholar
  87. 87.
    Q. Li, M. Suenaga, T. Kimura, K. Kishio, Phys. Rev. B 47, 2854 (1993)ADSCrossRefGoogle Scholar
  88. 88.
    A.A. Schafgans, A.D. LaForge, S.V. Dordevic, M.M. Quazilbash, W.J. Padilla, K.S. Burch, Z.Q. Li, S. Komiya, Y. Ando, D.N. Basov, Phys. Rev. Lett. 104, 157002 (2010)ADSCrossRefGoogle Scholar
  89. 89.
    Y.Q. Zhang, X.Q. Xiang, J.F. Ding, X.G. Li, Supercond. Sci. Technol. 21, 095005 (2008)ADSCrossRefGoogle Scholar
  90. 90.
    G. Campi et al., Nature 525, 359 (2015)ADSCrossRefGoogle Scholar
  91. 91.
    Y.M. Wang, M.S. Fuhrer, A. Zettl, S. Ooi, T. Tamegai, Phys. Rev. Lett. 86, 3626 (2001)ADSCrossRefGoogle Scholar
  92. 92.
    M. Ichioka, M. Takigawa, K. Machida, J. Phys. Soc. Japan 70, 33 (2001)ADSCrossRefGoogle Scholar
  93. 93.
    J.M. Tranquada, J.D. Axe, N. Ichikawa, Y. Nakamura, S. Uchida, B. Nachumi, Phys. Rev. B 54, 7489 (1996)ADSCrossRefGoogle Scholar
  94. 94.
    D. Kuzmanovski, M.G. Vavilov, Supercond. Sci. Technol. 25, 084001 (2012)ADSCrossRefGoogle Scholar
  95. 95.
    L. Miu, Phys. Rev. B 72, 132502 (2005)ADSCrossRefGoogle Scholar
  96. 96.
    T. Klein, H. Grasland, H. Cercellier, P. Toulemonde, C. Marcenat, Phys. Rev. B 89, 014514 (2014)ADSCrossRefGoogle Scholar
  97. 97.
    A.K. Pramanik, L. Harnagea, S. Singh, S. Aswartham, G. Behr, S. Wurmehl, C. Hess, R. Klingeler, B. Büchner, Phys. Rev. B 82, 014503 (2010)ADSCrossRefGoogle Scholar
  98. 98.
    A. Galluzzi, M. Polichetti, K. Buchkov, E. Nazarova, D. Mancusi, S. Pace, Supercond. Sci. Technol. 28, 115005 (2015)ADSCrossRefGoogle Scholar
  99. 99.
    A. Leo et al., Supercond. Sci. Technol. 28, 125001 (2015)ADSCrossRefGoogle Scholar
  100. 100.
    F. Gömöry, Supercond. Sci. Technol. 10, 523 (1997)CrossRefGoogle Scholar
  101. 101.
    L.A. Angurel, F. Amin, M. Polichetti, J. Aarts, P.H. Kes, Phys. Rev. B 56, 3425 (1997)ADSCrossRefGoogle Scholar
  102. 102.
    I. Joumard, T. Klein, J. Marcus, Phys. Rev. Lett. 87, 167002 (2001)ADSCrossRefGoogle Scholar
  103. 103.
    G. Pasquini, D. Pérez, Daroca, C. Chiliotte, G.S. Lozano, V. Bekeris, Phys. Rev. Lett. 100, 247003 (2008)Google Scholar
  104. 104.
    E. Bartolomé, A. Palau, A. Llordés, T. Puig, X. Obradors, Phys. Rev. B 81, 184530 (2010)ADSCrossRefGoogle Scholar
  105. 105.
    G. Prando, P. Carretta, R. De Renzi, S. Sanna, A. Palenzola, M. Putti, M. Tropeano, Phys. Rev. B 83, 174514 (2011)ADSCrossRefGoogle Scholar
  106. 106.
    R. Villa, V.G. Geshkenbein, R. Prozorov, G. Blatter, Phys. Rev. Lett. 115, 207001 (2015)ADSCrossRefGoogle Scholar
  107. 107.
    L. Miu, P. Mele, I. Ivan, A.M. Ionescu, D. Miu, J. Supercond. Novel Magn. 28(2), 361 (2015)CrossRefGoogle Scholar
  108. 108.
    L. Miu, I. Ivan, A.M. Ionescu, D. Miu, AIP Adv. 6, 065027 (2016)ADSCrossRefGoogle Scholar
  109. 109.
    I. Ivan, A.M. Ionescu, D. Miu, P. Mele, L. Miu, Supercond. Sci. Technol. 29, 095013 (2016)ADSCrossRefGoogle Scholar
  110. 110.
    P. Fabbricatore, S. Farinon, G. Gemme, R. Musenich, R. Parodi, B. Zhang, Phys. Rev. B 50, 3189 (1994)ADSCrossRefGoogle Scholar
  111. 111.
    X.S. Ling, J.I. Budnik, in Magnetic Susceptibility of Superconductors and other Spin Systems, ed. by R.A. Hein, T.L. Francavilla, D.H. Liebenberg (Plenum, NY, 1991), p. 377Google Scholar
  112. 112.
    J.R. Clem, A. Sanchez, Phys. Rev. B 50, 9355 (1994)ADSCrossRefGoogle Scholar
  113. 113.
    V.B. Geshkenbein, V.M. Vinokur, R. Fahrenbacher, Phys. Rev. B 43, 3748 (1991)ADSCrossRefGoogle Scholar
  114. 114.
    A.M. Campbell, J. Phys. C 2, 1492 (1969); 4, 3186 (1971)Google Scholar
  115. 115.
    S. Monah, J. Sinha, S.S. Banerjee, Y. Myasoedov, Phys. Rev. Lett. 98, 027003 (2007)ADSCrossRefGoogle Scholar
  116. 116.
    S. Salem-Sugui Jr., J. Mosqueira, A.D. Alvarenga, D. Sóñora, E.P. Herculano, D. Hu, G. Chen, H. Luo, Supercond. Sci. Technol. 28, 055017 (2015)CrossRefGoogle Scholar
  117. 117.
    K. Deligiannis, P.A.J. de Groot, M. Oussena, S. Pinfold, R. Langan, R. Gagnon, L. Taillefer, Phys. Rev. Lett. 79, 2121 (1997)ADSCrossRefGoogle Scholar
  118. 118.
    T. Nishizaki, T. Naito, N. Kobayashi, Phys. Rev. B 58, 11169 (1998)ADSCrossRefGoogle Scholar
  119. 119.
    H. Safar, P.L. Gammel, D.A. Huse, D.J. Bishop, W.C. Lee, J. Giapintzakis, D.M. Ginsberg, Phys. Rev. Lett. 70, 3800 (1993)ADSCrossRefGoogle Scholar
  120. 120.
    J. Kierfeld, V. Vinokur, Phys. Rev. B 61, R14 928 (2000)Google Scholar
  121. 121.
    D. Pal, S. Ramakrishnan, A.K. Grover, D. Dasgupta, B.K. Sarma, Phys. Rev. B 63, 132505 (2001)ADSCrossRefGoogle Scholar
  122. 122.
    A.A. Zhukov, H. Küpfer, H. Claus, H. Wühl, M. Kläser, G. Müller-Vogt, Phys. Rev. B 52, R9871 (1995)ADSCrossRefGoogle Scholar
  123. 123.
    A.D. Thakur, S.S., Benerjee, M.J. Higgins, S. Ramakrishnan, A.K. Grover, Phys. Rev. B 72, 134524 (2005)Google Scholar
  124. 124.
    L. Miu, Phys. Rev. B 65, 096501 (2002)ADSCrossRefGoogle Scholar
  125. 125.
    D. Pal, S. Ramakrishnan, A.K. Grover, Phys. Rev. B 65, 096502 (2002)ADSCrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Lucica Miu
    • 1
  • Alina M. Ionescu
    • 1
    • 2
  • Dana Miu
    • 3
  • Ion Ivan
    • 1
  • Adrian Crisan
    • 1
  1. 1.National Institute of Materials PhysicsBucharest, MagureleRomania
  2. 2.Faculty of PhysicsUniversity of BucharestBucharestRomania
  3. 3.National Institute of Laser, Plasma, and Radiation PhysicsBucharest, MagureleRomania

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