PROPERTIES OF VORTEX STATES IN HIGH TEMPERATURE SUPERCONDUCTORS
Year 2010,
Issue: 023, 11 - 22, 15.12.2010
Seniye Karakaya
,
Mustafa Akarsu
Senem Aydoğu
Ömer Özbaş
Abstract
This
paper reviews vortex behavior and formation of vortex liquid due to vortex
lattice melting in high temperature superconductors (HTSC). The microscopic
theory of superconductivity and the basic concepts needed to understand the
magnetic properties of type I and type
II superconductors are discussed briefly. Magnetic states of superconductors
are described and magnetic phase diagrams are presented. The transition from
the vortex solid to the vortex liquid phase for HTSC is described. Effects of
the point, columnar disorders and strong thermal fluctuations on the character
of the transition between these two phases are studied. The effects on the
vortex solid to liquid transition of high magnetic fields applied parallel to
the superconducting layers are also studied.
References
- [1] F. Yang, “Heterogeneous vortex dynamics in high temperature superconductors”, Doctoral Thesis, Ecole Polytechnique, Palaiseau, France, 13-19 (2009).
- [2] B. Chen, W. P. Halperin, P. Guptasarma, D. G. Hinks, V. F. Mitrovic, A. P. Reyes, P. L. Kuns, “Two-dimensional vortices in superconductors”, Nature physics, 3, 239-240 (2007).
- [3] H. K.Onnes, “Investigations into the properties of substances at low temperatures, which have led, amongst other things, to the preparation of liquid helium”, Nobel Lecture, 333-335 (1913).
- [4] J.R. Schrieffer, “Macroscopic quantum phenomena from pairing in superconductors”, Nobel Lecture, (1972).
- [5] J. E. Hirsch, “Explanation of the Meissner effect and prediction of a spin Meissner effect in low and high Tc superconductors”, Physica C, (2009).
- [6] M. Sjöström, “Hysteresis modeling of high temperature superconductors”, Doctoral Thesis, Swiss Federal Institute of Technology Lausanne, Stockholm, 25-32 (2001).
- [7] J. Bardeen, L. N. Cooper, J. R. Schrieffer, “Theory of superconductivity”, Phys. Rev., 108,1175-1180 (1957).
- [8] N. Avraham , “Study of the thermodynamic nature of the disorder-driven vortex matter phase transition”, Weizmann Institute of Science, 1-8 (2000).
- [9] M. Cyrot, “Ginzburg-Landau theory for superconductors”, Rep. Prog. Phys. ,36, 103 (1973).
- [10] Z. Y. Wang, “On the mechanism of superconductivity”, Physica C, 299, 256–258(1998).
- [11] J. G. Bednorz, K. A. Müller “Perovskite-type oxides-The new approach to high-Tc superconductivity”, Rev. Mod.Phy. ,60, 585-595 (1998).
- [12] G. Blatter, M.V. Feigelman, V.B. Geshkenbein, A.I. Larkin, V.M. Vinokur, “Vortices in high temperature superconductors”, Reviews of Mod. Phy., 66 (4), 1130-1140 (1994).
- [13] V. L. Ginzburg, “Nobel Lecture: On superconductivity and superfluidity (what I have and have not managed to do) as well as on the “physical minimum” at the beginning of the XXI century”, Rev. Mod. Phy.,76, 981-990 (2004).
- [14] V. L. Ginzburg, “On superconductivity and superfluidity”, P. N. Lebedev Physics Institute, Russian Academy of Sciences, Nobel Lecture, (2003).
- [15] G. Burns, “High Temperature Superconductivity An Introduction”, Newyork, 9-27 (1992).
- [16] J.C. Loudon, P.A. Midgley, “Imaging flux vortices in type II superconductors with a commercial transmission electron microscope”, Department of Materials Sci. and Met., 1-6.
- [17] J. R. Clem, “Anisotropy and two-dimensional behaviour in the high-temperature superconductors”, Supercond. Sci. Technol, 909–914 (1998).
- [18] A. A. Abrikosov, “Type II superconductors and the vortex lattice”, Materials Science Division., 59-65 (2003).
- [19] B. E. Arronte, “Resistivity and the vortex solid-to-liquid transition in high-temperature superconductors”, Doctoral Thesis, Stockholm, Royal Institute of Technology, Sweden, 1-23 (2006).
- [20] J. F. Puig, “Defects and the vortex liquid state in superconducting textured YBa2Cu3 ”, Doctoral Thesis, Department de materials magnetic superconductors, Bellaterra, 1-15 (2003).
- [21] L. F. Cohen, H. J. Jensen, “Open questions in the magnetic behaviour of high-temperature superconductors”, Rep. Prog. Phys., 60, 1581–1672 (1997).
- [22] S., Karakaya, “The properties of vortex states in high temperature superconductors”, Master Of Science Thesis, Eskişehir Osmangazi Üniversitesi Fen Bilimleri Enstitüsü, Eskişehir, 29-55 (2006).
- [23] B. T. Maruszewski, A. Drzewiecki, R. Starosta, “Anomalous features of the thermomagnetoelastic field in a vortex array in a superconductor: propagation of love’s waves”, Journal of Thermal Stresses, 30, 1049–1065 (2007).
- [24] R. A. Serway, “Fen ve Mühendislik İçin Fizik”, 3, Palme Yayıncılık, 1290 (1996).
- [25] C. Kıttel, “Introduction to Solid State Physics”, 7nd edition, John Wiley&sons, Newyork, 338 (1996).
- [26] A. M. Campbell, J. E. Evetts, “Flux vortices and transport currents in type II superconductors”, Advances in Physics, 50, 1249-1449 (2001).
- [27] Internet: http://hyperphysics.phy-astr.gsu.edu/hbase/solids/scbc.html#c4
- [28] M. Tinkham, “Introduction To Superconductivity”, 2nd ed., Singapore, 1-16 (1996).
- [29] U. C. Tauber, “Localized Flux Lines and the Bose Glass”,Cond. Mat.,1-5 (1996).
- [30] M. B. Maple, “High Temperature Superconductivity”, Pure and Applied Physical Sciences, California 92093, USA.
- [31] D. Giller, “Disorder-induced vortex phase transition in high- temperature superconductors”, Ph. D. Thesis, Bar-Ilan University, Israel, 2-5, (2002).
- [32] J. Hu, A. H. MacDonald, “Universal phase diagram for vortex states of layered superconductors in strong T.,magnetic fields”, Physical Review B, 56, 2788-2790 (1997).
- [33] Nishizaki, N. Kobayashi, “Vortex-matter phase diagram in YBa2Cu3Oy”, Supercond. Sci. Technol., 13, 1- 11 (2000).
- [34] S. X. Dou, P.N. Mıkheenko, X. L. Wang , H. K. Liu, “High Temperature Superconductors”, Institute of Materials Technology and Manufacturing, 363-368, Australia.
- [35] V. Vinokur, B. Khaykovich, E. Zeldov, M. Konczykowski, R.A. Doyle, P.H. Kes, “Lindemann criterion and vortex-matter phase transitions in high-temperature superconductors”, Physica C, 295, 209–217 (1998).
- [36] R. Kato, Y. Enomoto, “Simulation of narrow-band noise induced by vortex dynamics in type-II superconducting films with periodic pinning arrays”, Physica C, 1-3 (2005).
- [37] S. L. Liu, G. J. Wu, H. J. Tan, X. B. Xu, H. M. Shao, “ The transition from vortex liquid to vortex slush in YB2Cu3Oy superconductors”, Supercond. Sci. Technol., 19, 508–511 (2006).
- [38] J. J. Chang, J. Mesot, “Microscopic neutron investigation of the Abrikosov state of high-temperature superconductors”, Journal of Physics, 71 (4), 679-685 (2008).
- [39] B. Davoudi, M. Kohandel, “Numerical study of the vortex phase diagram using the bose model in STLS approximation”, Cond-Mat., 9908080(1), (2005).
- [40] T. Nattermann, S., Scheidl, “Vortex-glass phases in type-II superconductors”, Con.Mat. Supr., 1-3, 4-16, (2008).
- [41] J. Kierfeld, V. Vinokur, “Lindemann criterion and vortex lattice phase transitions in type-II superconductors”, Physıcal review, B 69, 1-5 (2004).
- [42] Y. Y. Goldschmidt, “Phase transitions of the flux-line lattice in high-temperature superconductors with weak columnar and point disorder”, Physical review B, 56, 2800-2803, (1997).
- [43] J. Dietel, H. Kleinert, “Phase diagram of vortices in high-tc superconductors from lattice defect model with pinning”, Con.Mat. Supr., 1-3 (2008).
- [44] W. C. Chan, C. H. Chiang, Y. J. Hsu, “Direct Lorentz force measurement for YBa2Cu3 superconductor”, Cryogenics, 1-2, (2010).
- [45] M. G. Blamire, R. B. Dinner, S. C. Wimbush, J. L. MacManus-Driscoll, “Critical current enhancement by Lorentz force reduction in superconductor–ferromagnet nanocomposites”, Supercond. Sci. Technol., 22, 1-3 (2009).
- [46] Kusevıc, E. Babı´c, “Vortex pinning and critical currents in nanostructured novel superconductors”, Fizika A,14, 75–88 (2004).
- [47] S. Aktas, “The effects of point-like pinning in a vortex lattice”, J. Phys. Condens. Matter, 8, 6747–6758, (1996).
YÜKSEK SICAKLIK SÜPERİLETKENLERİNDE VORTEX BÖLGESİNİN ÖZELLİKLERİ
Year 2010,
Issue: 023, 11 - 22, 15.12.2010
Seniye Karakaya
,
Mustafa Akarsu
Senem Aydoğu
Ömer Özbaş
Abstract
Bu çalışma, yüksek sıcaklık
süperiletkenlerindeki vortex örgü erimesi sebebiyle vortex sıvının oluşumunu ve
davranışını özetler. Süperiletkenliğin mikroskobik teorisi ve I.
tip ve II. tip süperiletkenlerin manyetik özelliklerinin anlaşılması için
gerekli temel kavramlar kısaca tartışıldı. Süperiletkenlerin manyetik durumları ifade edildi ve manyetik
faz diyagramları gösterildi. Yüksek sıcaklık süperiletkenleri için vortex katıdan
vortex sıvı faza geçiş ifade edilmektedir. Bu iki faz arasındaki geçişin
özelliği olan vortexlerin vortex sütunlarındaki bozulma, güçlü termal
dalgalanmalar ve nokta kusurlar araştırıldı. Aynı zamanda , süperiletken
tabakalara paralel olarak uygulanan
yüksek manyetik alanların vortex katı-sıvı geçişi üzerine etkileri tartışıldı.
References
- [1] F. Yang, “Heterogeneous vortex dynamics in high temperature superconductors”, Doctoral Thesis, Ecole Polytechnique, Palaiseau, France, 13-19 (2009).
- [2] B. Chen, W. P. Halperin, P. Guptasarma, D. G. Hinks, V. F. Mitrovic, A. P. Reyes, P. L. Kuns, “Two-dimensional vortices in superconductors”, Nature physics, 3, 239-240 (2007).
- [3] H. K.Onnes, “Investigations into the properties of substances at low temperatures, which have led, amongst other things, to the preparation of liquid helium”, Nobel Lecture, 333-335 (1913).
- [4] J.R. Schrieffer, “Macroscopic quantum phenomena from pairing in superconductors”, Nobel Lecture, (1972).
- [5] J. E. Hirsch, “Explanation of the Meissner effect and prediction of a spin Meissner effect in low and high Tc superconductors”, Physica C, (2009).
- [6] M. Sjöström, “Hysteresis modeling of high temperature superconductors”, Doctoral Thesis, Swiss Federal Institute of Technology Lausanne, Stockholm, 25-32 (2001).
- [7] J. Bardeen, L. N. Cooper, J. R. Schrieffer, “Theory of superconductivity”, Phys. Rev., 108,1175-1180 (1957).
- [8] N. Avraham , “Study of the thermodynamic nature of the disorder-driven vortex matter phase transition”, Weizmann Institute of Science, 1-8 (2000).
- [9] M. Cyrot, “Ginzburg-Landau theory for superconductors”, Rep. Prog. Phys. ,36, 103 (1973).
- [10] Z. Y. Wang, “On the mechanism of superconductivity”, Physica C, 299, 256–258(1998).
- [11] J. G. Bednorz, K. A. Müller “Perovskite-type oxides-The new approach to high-Tc superconductivity”, Rev. Mod.Phy. ,60, 585-595 (1998).
- [12] G. Blatter, M.V. Feigelman, V.B. Geshkenbein, A.I. Larkin, V.M. Vinokur, “Vortices in high temperature superconductors”, Reviews of Mod. Phy., 66 (4), 1130-1140 (1994).
- [13] V. L. Ginzburg, “Nobel Lecture: On superconductivity and superfluidity (what I have and have not managed to do) as well as on the “physical minimum” at the beginning of the XXI century”, Rev. Mod. Phy.,76, 981-990 (2004).
- [14] V. L. Ginzburg, “On superconductivity and superfluidity”, P. N. Lebedev Physics Institute, Russian Academy of Sciences, Nobel Lecture, (2003).
- [15] G. Burns, “High Temperature Superconductivity An Introduction”, Newyork, 9-27 (1992).
- [16] J.C. Loudon, P.A. Midgley, “Imaging flux vortices in type II superconductors with a commercial transmission electron microscope”, Department of Materials Sci. and Met., 1-6.
- [17] J. R. Clem, “Anisotropy and two-dimensional behaviour in the high-temperature superconductors”, Supercond. Sci. Technol, 909–914 (1998).
- [18] A. A. Abrikosov, “Type II superconductors and the vortex lattice”, Materials Science Division., 59-65 (2003).
- [19] B. E. Arronte, “Resistivity and the vortex solid-to-liquid transition in high-temperature superconductors”, Doctoral Thesis, Stockholm, Royal Institute of Technology, Sweden, 1-23 (2006).
- [20] J. F. Puig, “Defects and the vortex liquid state in superconducting textured YBa2Cu3 ”, Doctoral Thesis, Department de materials magnetic superconductors, Bellaterra, 1-15 (2003).
- [21] L. F. Cohen, H. J. Jensen, “Open questions in the magnetic behaviour of high-temperature superconductors”, Rep. Prog. Phys., 60, 1581–1672 (1997).
- [22] S., Karakaya, “The properties of vortex states in high temperature superconductors”, Master Of Science Thesis, Eskişehir Osmangazi Üniversitesi Fen Bilimleri Enstitüsü, Eskişehir, 29-55 (2006).
- [23] B. T. Maruszewski, A. Drzewiecki, R. Starosta, “Anomalous features of the thermomagnetoelastic field in a vortex array in a superconductor: propagation of love’s waves”, Journal of Thermal Stresses, 30, 1049–1065 (2007).
- [24] R. A. Serway, “Fen ve Mühendislik İçin Fizik”, 3, Palme Yayıncılık, 1290 (1996).
- [25] C. Kıttel, “Introduction to Solid State Physics”, 7nd edition, John Wiley&sons, Newyork, 338 (1996).
- [26] A. M. Campbell, J. E. Evetts, “Flux vortices and transport currents in type II superconductors”, Advances in Physics, 50, 1249-1449 (2001).
- [27] Internet: http://hyperphysics.phy-astr.gsu.edu/hbase/solids/scbc.html#c4
- [28] M. Tinkham, “Introduction To Superconductivity”, 2nd ed., Singapore, 1-16 (1996).
- [29] U. C. Tauber, “Localized Flux Lines and the Bose Glass”,Cond. Mat.,1-5 (1996).
- [30] M. B. Maple, “High Temperature Superconductivity”, Pure and Applied Physical Sciences, California 92093, USA.
- [31] D. Giller, “Disorder-induced vortex phase transition in high- temperature superconductors”, Ph. D. Thesis, Bar-Ilan University, Israel, 2-5, (2002).
- [32] J. Hu, A. H. MacDonald, “Universal phase diagram for vortex states of layered superconductors in strong T.,magnetic fields”, Physical Review B, 56, 2788-2790 (1997).
- [33] Nishizaki, N. Kobayashi, “Vortex-matter phase diagram in YBa2Cu3Oy”, Supercond. Sci. Technol., 13, 1- 11 (2000).
- [34] S. X. Dou, P.N. Mıkheenko, X. L. Wang , H. K. Liu, “High Temperature Superconductors”, Institute of Materials Technology and Manufacturing, 363-368, Australia.
- [35] V. Vinokur, B. Khaykovich, E. Zeldov, M. Konczykowski, R.A. Doyle, P.H. Kes, “Lindemann criterion and vortex-matter phase transitions in high-temperature superconductors”, Physica C, 295, 209–217 (1998).
- [36] R. Kato, Y. Enomoto, “Simulation of narrow-band noise induced by vortex dynamics in type-II superconducting films with periodic pinning arrays”, Physica C, 1-3 (2005).
- [37] S. L. Liu, G. J. Wu, H. J. Tan, X. B. Xu, H. M. Shao, “ The transition from vortex liquid to vortex slush in YB2Cu3Oy superconductors”, Supercond. Sci. Technol., 19, 508–511 (2006).
- [38] J. J. Chang, J. Mesot, “Microscopic neutron investigation of the Abrikosov state of high-temperature superconductors”, Journal of Physics, 71 (4), 679-685 (2008).
- [39] B. Davoudi, M. Kohandel, “Numerical study of the vortex phase diagram using the bose model in STLS approximation”, Cond-Mat., 9908080(1), (2005).
- [40] T. Nattermann, S., Scheidl, “Vortex-glass phases in type-II superconductors”, Con.Mat. Supr., 1-3, 4-16, (2008).
- [41] J. Kierfeld, V. Vinokur, “Lindemann criterion and vortex lattice phase transitions in type-II superconductors”, Physıcal review, B 69, 1-5 (2004).
- [42] Y. Y. Goldschmidt, “Phase transitions of the flux-line lattice in high-temperature superconductors with weak columnar and point disorder”, Physical review B, 56, 2800-2803, (1997).
- [43] J. Dietel, H. Kleinert, “Phase diagram of vortices in high-tc superconductors from lattice defect model with pinning”, Con.Mat. Supr., 1-3 (2008).
- [44] W. C. Chan, C. H. Chiang, Y. J. Hsu, “Direct Lorentz force measurement for YBa2Cu3 superconductor”, Cryogenics, 1-2, (2010).
- [45] M. G. Blamire, R. B. Dinner, S. C. Wimbush, J. L. MacManus-Driscoll, “Critical current enhancement by Lorentz force reduction in superconductor–ferromagnet nanocomposites”, Supercond. Sci. Technol., 22, 1-3 (2009).
- [46] Kusevıc, E. Babı´c, “Vortex pinning and critical currents in nanostructured novel superconductors”, Fizika A,14, 75–88 (2004).
- [47] S. Aktas, “The effects of point-like pinning in a vortex lattice”, J. Phys. Condens. Matter, 8, 6747–6758, (1996).