Vortices and Nanostructured Superconductors pp 159-184 | Cite as
Behavior of the Second Magnetization Peak in Self-nanostructured La2–xSrxCuO4 Single Crystals
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.W. De Sorbo, Rev. Mod. Phys. 36, 90 (1964)ADSCrossRefGoogle Scholar
- 2.A.B. Pippard, Philos. Mag. 19, 217 (1969)ADSCrossRefGoogle Scholar
- 3.A.I. Larkin, YuN Ovchinnikov, J. Low Temp. Phys. 93, 409 (1979)ADSCrossRefGoogle Scholar
- 4.S. Bhattacharya, M.J. Higgins, Phys. Rev. Lett. 70, 2617 (1993)ADSCrossRefGoogle Scholar
- 5.T. Matsushita, Flux Pinning in Superconductors (Springer, Heidelberg, 2007), p. 325Google Scholar
- 6.Y. Paltiel et al., Phys. Rev. Lett. 85, 3712 (2000)ADSCrossRefGoogle Scholar
- 7.A.M. Troyanovski, M. van Hecke, N. Saha, J. Aarts, P.H. Kes, Phys. Rev. Lett. 89, 147006 (2002)Google Scholar
- 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.I.K. Dimitrov, N.D. Daniilidis, C. Elbaum, J.W. Lynn, X.S. Ling, Phys. Rev. Lett. 99, 047001 (2007)ADSCrossRefGoogle Scholar
- 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.W.K. Kwok, J.A. Fendrich, C.J. van der Beek, G.W. Crabtree, Phys. Rev. Lett. 73, 2614 (1994)ADSCrossRefGoogle Scholar
- 12.J. Giapintzakis, R.L. Neiman, D.M. Ginsberg, M.A. Kirk, Phys. Rev. B 50, 16001 (1994)ADSCrossRefGoogle Scholar
- 13.T. Ishida, K. Okuda, H. Asaoka, Phys. Rev. B 56, 5128 (1997)Google Scholar
- 14.A. Houghton, R.A. Pelcovits, A. Sudbø, Phy. Rev. B 40, 6763 (1989)ADSCrossRefGoogle Scholar
- 15.E. Zeldov, D. Majer, M. Konczykowski, V.B. Geshkenbein, V.M. Vinokur, H. Shtrikman, Nature (London) 375, 373 (1995)ADSCrossRefGoogle Scholar
- 16.M. Däumling, J.M. Seuntjens, D.C. Larbalestier, Nature (London) 346, 332 (1990)ADSCrossRefGoogle Scholar
- 17.V.N. Kopylov, A.E. Koshelev, I.F. Schegolev, T.G. Togonidze, Physica C 170, 291 (1990)ADSCrossRefGoogle Scholar
- 18.B. Khaykovich, E. Zeldov, D. Majer, T.W. Li, P.H. Kes, M. Konczykowski, Phys. Rev. Lett. 76, 2555 (1996)ADSCrossRefGoogle Scholar
- 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.T. Sasagawa, Y. Togawa, J. Shimoyama, A. Kapitulnik, K. Kitazawa, K. Kishio, Phys. Rev. B 61, 1610 (2000)ADSCrossRefGoogle Scholar
- 21.S.L. Li, H.-H. Wen, Phys. Rev. B 65, 214515 (2002)ADSCrossRefGoogle Scholar
- 22.L. Miu, Physica C 405, 260 (2004)ADSCrossRefGoogle Scholar
- 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.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.M. Bonura, E. Giannini, R. Viennois, C. Senatore, Phys. Rev. B 85, 134532 (2012)ADSCrossRefGoogle Scholar
- 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.W. Zhou, X. Xing, W. Wu, H. Zhao, Z. Shi, Sci. Rep. 6, 22278 (2016)ADSCrossRefGoogle Scholar
- 28.N. Chikumoto, M. Konczykowski, N. Motohira, A.P. Malozemoff, Phys. Rev. Lett. 69, 1260 (1992)ADSCrossRefGoogle Scholar
- 29.L. Krusin-Elbaum, L. Civale, V.M. Vinokur, F. Holtzberg, Phys. Rev. Lett. 69, 2280 (1992)ADSCrossRefGoogle Scholar
- 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.G.K. Perkins, L.F. Cohen, A.A. Zhukov, A.D. Caplin, Phys. Rev. B 51, 8513 (1995)ADSCrossRefGoogle Scholar
- 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.Y. Kopelevich, P. Esquinazi, Solid State Commun. 122, 33 (2002)ADSCrossRefGoogle Scholar
- 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.Y. Radzyner, A. Shaulov, Y. Yeshurun, I. Felner, K. Kishio, J. Shimoyama, Phys. Rev. B 65, 214525 (2002)ADSCrossRefGoogle Scholar
- 36.B. Rosenstein, B. Ya, Shapiro, I. Shapiro, Y. Bruckental, A. Shaulov, Y. Yeshurun, Phys. Rev. B 72, 144512 (2005)Google Scholar
- 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.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.M. Jirsa, L. Průst, D. Dlouhý, M.R. Koblischka, Phys. Rev. B 55, 3276 (1997)ADSCrossRefGoogle Scholar
- 40.J. Tao, Q. Deng, Z. Wang, X. Zhu, H.-H. Wen, Phys. Rev. B 91, 214516 (2015)ADSCrossRefGoogle Scholar
- 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.T. Nattermann, Phys. Rev. Lett. 64, 2454 (1990)ADSCrossRefGoogle Scholar
- 43.T. Giamarchi, P. Le Doussal, Phys. Rev. B 55, 6577 (1997)ADSCrossRefGoogle Scholar
- 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.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.L. Miu, E. Cimpoiasu, T. Stein, C.C. Almasan, Physica C 334, 1 (2000)ADSCrossRefGoogle Scholar
- 47.L. Miu, T. Noji, Y. Koike, E. Cimpoiasu, T. Stein, C.C. Almasan, Phys. Rev. B 62, 15172 (2000)ADSCrossRefGoogle Scholar
- 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.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.D. Miu, T. Noji, T. Adachi, Y. Koike, L. Miu, Supercond. Sci. Technol. 25, 115009 (2012)ADSCrossRefGoogle Scholar
- 51.D. Bhoi, P. Mandal, P. Choudhury, J. Appl. Phys. 113, 183902 (2013)ADSCrossRefGoogle Scholar
- 52.J. Zaanen, O. Gunnarsson, Phys. Rev. B 40, R7391 (1989)ADSCrossRefGoogle Scholar
- 53.V.J. Emery, S.A. Kivelson, Q.H. Lin, Phys. Rev. Lett. 64, 475 (1990)ADSCrossRefGoogle Scholar
- 54.P. Abbamonte, A. Rusydi, S. Smadici, G.D. Gu, G.A. Sawatzky, D.L. Feng, Nat. Phys. 1, 155 (2005)CrossRefGoogle Scholar
- 55.J.M. Tranquada, B.J. Sternlieb, J.D. Axe, Y. Nakamura, S. Uchida, Nature 375, 561 (1995)ADSCrossRefGoogle Scholar
- 56.J.T. Park et al., Phys. Rev. Lett. 102, 117006 (2009)ADSCrossRefGoogle Scholar
- 57.B. Lake et al., Nature 415, 299 (2002)ADSCrossRefGoogle Scholar
- 58.A.R. Moodenbaugh, Y. Xu, M. Suenaga, T.J. Folkerts, R.N. Shelton, Phys. Rev. B 38, 4596 (1988)ADSCrossRefGoogle Scholar
- 59.K. Kumagai, Y. Nakamura, Y. Watanabe, Y. Nakamichi, H. Nakajima, J. Magn. Magn. Mater. 76–77, 601 (1988)CrossRefGoogle Scholar
- 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.T. Adachi, K. Omori, Y. Tanabe, Y. Koike, J. Phys. Soc. Japan 78, 114707 (2009)ADSCrossRefGoogle Scholar
- 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.I. Watanabe, T. Adachi, K. Takahashi, S. Yairi, Y. Koike, K. Nagamine, Phys. Rev. B 65, 180516 (2002)ADSCrossRefGoogle Scholar
- 64.J. Chang et al., Phys. Rev. B 85, 134520 (2012), and references thereinGoogle Scholar
- 65.C.P. Bean, Phys. Rev. Lett. 8, 250 (1962)ADSCrossRefGoogle Scholar
- 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.Y. Yeshurun, A.P. Malozemoff, A. Shaulov, Rev. Mod. Phys. 68, 911 (1996)ADSCrossRefGoogle Scholar
- 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.Y. Tanabe, T. Adachi, K. Omori, H. Sato, T. Noji, Y. Koike, J. Phys. Soc. Jpn. 76, 113706 (2007)ADSCrossRefGoogle Scholar
- 70.G.P. Mikitik, E.H. Brandt, Phys. Rev. B 64, 184514 (2001)ADSCrossRefGoogle Scholar
- 71.R. Gilardi et al., Phys. Rev. Lett. 88, 217003 (2002)ADSCrossRefGoogle Scholar
- 72.L. Miu, Y. Tanabe, T. Adachi, Y. Koike, D. Miu, G. Jakob, H. Adrian, Phys. Rev. B 78, 024520 (2008)ADSCrossRefGoogle Scholar
- 73.M.P. Maley, J.O. Willis, H. Lessure, M.E. McHenry, Phys. Rev. B 42, 2639 (1990)ADSCrossRefGoogle Scholar
- 74.G. Pasquini, L. Civale, H. Lanza, G. Nieva, Phys. Rev. B 59, 9627 (1999)ADSCrossRefGoogle Scholar
- 75.M. Zehetmayer, Sci. Rep. 5, 9244 (2015)ADSCrossRefGoogle Scholar
- 76.L. Miu, T. Adachi, K. Omori, Y. Koike, D. Miu, Phys. Rev B 82, 064520 (2010)ADSCrossRefGoogle Scholar
- 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.A.P. Malozemoff, Physica C 185–189, 264 (1991)CrossRefGoogle Scholar
- 79.P.W. Anderson, Y.B. Kim, Rev. Mod. Phys. 36, 39 (1964)ADSCrossRefGoogle Scholar
- 80.L. Miu, D. Miu, T. Petrisor, A. El-Tahan, G. Jakob, H. Adrian, Phys. Rev. B 78, 212508 (2008)ADSCrossRefGoogle Scholar
- 81.M.V. Feigel’man, V.B. Geshkenbein, A.I. Larkin, V.M. Vinokur, Phys. Rev. Lett. 63, 2303 (1989)ADSCrossRefGoogle Scholar
- 82.L. Miu, D. Miu, Supercond. Sci. Technol. 23, 025033 (2010)ADSCrossRefGoogle Scholar
- 83.L. Miu, A.M. Ionescu, I. Ivan, D. Miu, T. Adachi, K. Omori, Y. Koike, Physica C 519, 79 (2015)ADSCrossRefGoogle Scholar
- 84.U. Divakar et al., Phys. Rev. Lett. 92, 237004 (2004)ADSCrossRefGoogle Scholar
- 85.M. Kofu, S.-H. Lee, M. Fujita, H.-J. Kang, H. Eisaki, K. Yamada, Phys. Rev. Lett. 102, 047001 (2009)ADSCrossRefGoogle Scholar
- 86.S. Kohout, T. Schneider, J. Roos, H. Keller, T. Sasagawa, H. Takagi, Phys. Rev. B 76, 064513 (2007)ADSCrossRefGoogle Scholar
- 87.Q. Li, M. Suenaga, T. Kimura, K. Kishio, Phys. Rev. B 47, 2854 (1993)ADSCrossRefGoogle Scholar
- 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.Y.Q. Zhang, X.Q. Xiang, J.F. Ding, X.G. Li, Supercond. Sci. Technol. 21, 095005 (2008)ADSCrossRefGoogle Scholar
- 90.G. Campi et al., Nature 525, 359 (2015)ADSCrossRefGoogle Scholar
- 91.Y.M. Wang, M.S. Fuhrer, A. Zettl, S. Ooi, T. Tamegai, Phys. Rev. Lett. 86, 3626 (2001)ADSCrossRefGoogle Scholar
- 92.M. Ichioka, M. Takigawa, K. Machida, J. Phys. Soc. Japan 70, 33 (2001)ADSCrossRefGoogle Scholar
- 93.J.M. Tranquada, J.D. Axe, N. Ichikawa, Y. Nakamura, S. Uchida, B. Nachumi, Phys. Rev. B 54, 7489 (1996)ADSCrossRefGoogle Scholar
- 94.D. Kuzmanovski, M.G. Vavilov, Supercond. Sci. Technol. 25, 084001 (2012)ADSCrossRefGoogle Scholar
- 95.L. Miu, Phys. Rev. B 72, 132502 (2005)ADSCrossRefGoogle Scholar
- 96.T. Klein, H. Grasland, H. Cercellier, P. Toulemonde, C. Marcenat, Phys. Rev. B 89, 014514 (2014)ADSCrossRefGoogle Scholar
- 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.A. Galluzzi, M. Polichetti, K. Buchkov, E. Nazarova, D. Mancusi, S. Pace, Supercond. Sci. Technol. 28, 115005 (2015)ADSCrossRefGoogle Scholar
- 99.A. Leo et al., Supercond. Sci. Technol. 28, 125001 (2015)ADSCrossRefGoogle Scholar
- 100.F. Gömöry, Supercond. Sci. Technol. 10, 523 (1997)CrossRefGoogle Scholar
- 101.L.A. Angurel, F. Amin, M. Polichetti, J. Aarts, P.H. Kes, Phys. Rev. B 56, 3425 (1997)ADSCrossRefGoogle Scholar
- 102.I. Joumard, T. Klein, J. Marcus, Phys. Rev. Lett. 87, 167002 (2001)ADSCrossRefGoogle Scholar
- 103.G. Pasquini, D. Pérez, Daroca, C. Chiliotte, G.S. Lozano, V. Bekeris, Phys. Rev. Lett. 100, 247003 (2008)Google Scholar
- 104.E. Bartolomé, A. Palau, A. Llordés, T. Puig, X. Obradors, Phys. Rev. B 81, 184530 (2010)ADSCrossRefGoogle Scholar
- 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.R. Villa, V.G. Geshkenbein, R. Prozorov, G. Blatter, Phys. Rev. Lett. 115, 207001 (2015)ADSCrossRefGoogle Scholar
- 107.L. Miu, P. Mele, I. Ivan, A.M. Ionescu, D. Miu, J. Supercond. Novel Magn. 28(2), 361 (2015)CrossRefGoogle Scholar
- 108.L. Miu, I. Ivan, A.M. Ionescu, D. Miu, AIP Adv. 6, 065027 (2016)ADSCrossRefGoogle Scholar
- 109.I. Ivan, A.M. Ionescu, D. Miu, P. Mele, L. Miu, Supercond. Sci. Technol. 29, 095013 (2016)ADSCrossRefGoogle Scholar
- 110.P. Fabbricatore, S. Farinon, G. Gemme, R. Musenich, R. Parodi, B. Zhang, Phys. Rev. B 50, 3189 (1994)ADSCrossRefGoogle Scholar
- 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.J.R. Clem, A. Sanchez, Phys. Rev. B 50, 9355 (1994)ADSCrossRefGoogle Scholar
- 113.V.B. Geshkenbein, V.M. Vinokur, R. Fahrenbacher, Phys. Rev. B 43, 3748 (1991)ADSCrossRefGoogle Scholar
- 114.A.M. Campbell, J. Phys. C 2, 1492 (1969); 4, 3186 (1971)Google Scholar
- 115.S. Monah, J. Sinha, S.S. Banerjee, Y. Myasoedov, Phys. Rev. Lett. 98, 027003 (2007)ADSCrossRefGoogle Scholar
- 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.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.T. Nishizaki, T. Naito, N. Kobayashi, Phys. Rev. B 58, 11169 (1998)ADSCrossRefGoogle Scholar
- 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.J. Kierfeld, V. Vinokur, Phys. Rev. B 61, R14 928 (2000)Google Scholar
- 121.D. Pal, S. Ramakrishnan, A.K. Grover, D. Dasgupta, B.K. Sarma, Phys. Rev. B 63, 132505 (2001)ADSCrossRefGoogle Scholar
- 122.A.A. Zhukov, H. Küpfer, H. Claus, H. Wühl, M. Kläser, G. Müller-Vogt, Phys. Rev. B 52, R9871 (1995)ADSCrossRefGoogle Scholar
- 123.A.D. Thakur, S.S., Benerjee, M.J. Higgins, S. Ramakrishnan, A.K. Grover, Phys. Rev. B 72, 134524 (2005)Google Scholar
- 124.L. Miu, Phys. Rev. B 65, 096501 (2002)ADSCrossRefGoogle Scholar
- 125.D. Pal, S. Ramakrishnan, A.K. Grover, Phys. Rev. B 65, 096502 (2002)ADSCrossRefGoogle Scholar