Decoupling Intergranular Weak-Links and Intragranular Flux Pinning in Bulk Bi-2212 Superconductors: A Two-Component Exponential Model Approach
DOI:
https://doi.org/10.61326/jaasci.v5i1.495Keywords:
Bi-2212 superconductors, Critical current density, Flux pinning, Intergranular - intragranular Jc , Two-component exponential modelAbstract
In this study, the influence of sintering time on the structural, microstructural and magneto-transport properties of bulk Bi2Sr2CaCu2O8+d (Bi-2212) HTc superconductors synthesized by the solid-state reaction method was investigated using Two-Component Exponential Model. The samples prepared were heat treated at 840 oC for two different sintering durations: 60 h (S60) and 120 h (S120). XRD analyses showed that both samples have tetragonal symmetry and increasing the sintering duration to 120 h markedly reduced secondary impurity phases, such as BiSr3O5.4 and Bi2Ca2O5, thereby enhancing phase purity and crystallographic order. Furthermore, thermally activated oxygen desorption during prolonged heat treatment caused an expansion of the c-axis lattice parameter (from 30.62 Å to 30.68 Å), indicating a transition from the overdoped regime to the optimally doped region. The average crystallite size, estimated using the Scherrer method, increased from 38 nm to 45 nm, while Williamson–Hall analysis revealed a significant reduction in internal strain and defect density. SEM micrographs demonstrated the formation of characteristic platelet-like grain morphology and improved grain interlocking resulting from anisotropic grain growth. Analysis of the transport mechanism based on a semi empirical Two-Component Exponential Model showed that the 120 h sintering protocol not only enhanced the Josephson current transport capability ( ) at the macroscopic level through grain-boundary purification, but also improved the stability of flux pinning centers ( ) at the microscopic level by optimizing nanoscale intragrain defects and oxygen stoichiometry, thereby yielding a dual improvement in high-field magnetic performance.
References
Argyriou, D. N., Garcia, J. A., Mitchell, J. F., Jorgensen, J. D., & Hinks, D. G. (1996). Phase development of Bi-2212 superconductor: A time-resolved neutron powder diffraction investigation. Journal of Materials Research, 11(2), 277-280. https://doi.org/10.1557/JMR.1996.0032
Bean, C. P. (1964). Magnetization of high-field superconductors. Reviews of Modern Physics, 36(1), 31. https://doi.org/10.1103/RevModPhys.36.31
Blatter, G., Feigel'man, M. V., Geshkenbein, V. B., Larkin, A. I., & Vinokur, V. M. (1994). Vortices in high-temperature superconductors. Reviews of Modern Physics, 66(4), 1125. https://doi.org/10.1103/RevModPhys.66.1125
Clem, J. R. (1991). Two-dimensional vortices in a stack of thin superconducting films: A model for high-temperature superconducting multilayers. Physical Review B, 43(10), 7837. https://doi.org/10.1103/PhysRevB.43.7837
Ekin, J. W., Larson, T. M., Hermann, A. M., Sheng, Z. Z., Togano, K., & Kumakura, H. (1989). Double-step behavior of critical current vs. magnetic field in Y-, Bi-and Tl-based bulk high-Tc superconductors. Physica C: Superconductivity, 160(5-6), 489-496. https://doi.org/10.1016/0921-4534(89)90425-5
Fisher, D. S., Fisher, M. P., & Huse, D. A. (1991). Thermal fluctuations, quenched disorder, phase transitions, and transport in type-II superconductors. Physical Review B, 43(1), 130. https://doi.org/10.1103/PhysRevB.43.130
Garnier, V., Caillard, R., Sotelo, A., & Desgardin, G. (1999). Relationship among synthesis, microstructure and properties in sinter-forged Bi-2212 ceramics. Physica C: Superconductivity, 319(3-4), 197-208. https://doi.org/10.1016/S0921-4534(99)00308-1
Gyorgy, E. M., Van Dover, R. B., Jackson, K. A., Schneemeyer, L. F., & Waszczak, J. V. (1989). Anisotropic critical currents in Ba2YCu3O7 analyzed using an extended Bean model. Applied Physics Letters, 55(3), 283-285. https://doi.org/10.1063/1.102387
Heeb, B., Gauckler, L. J., Heinrich, H., & Kostorz, G. (1993). From imperfect to perfect Bi2Sr2CaCu2Ox (Bi–2212) grains. Journal of Materials Research, 8(9), 2170-2176. https://doi.org/10.1557/JMR.1993.2170
Hilgenkamp, H., & Mannhart, J. (2002). Grain boundaries in high-Tc superconductors. Reviews of Modern Physics, 74(2), 485. https://doi.org/10.1103/RevModPhys.74.485
Huang, Y. K., ten Haken, B., & ten Kate, H. H. (1998). Critical current of high Tc superconducting Bi2223/Ag tapes. Physica C: Superconductivity, 309(3-4), 197-202. https://doi.org/10.1016/S0921-4534(98)00608-X
Kametani, F., Shen, T., Jiang, J., Scheuerlein, C., Malagoli, A., Di Michiel, M., Huang, Y., Miao, H., Parrell, J. A., Hellstrom, E. E., & Larbalestier, D. C. (2011). Bubble formation within filaments of melt-processed Bi2212 wires and its strongly negative effect on the critical current density. Superconductor Science and Technology, 24(7), 075009. https://doi.org/10.1088/0953-2048/24/7/075009
Liang, J. K., Xie, S. S., Che, G. C., Huang, J. Q., Zhang, Y. L., & Zhao, Z. X. (1988). Crystal structure and superconductivity of Bi2Sr2CaCu2O8 compound. Modern Physics Letters B, 2(01), 483-489. https://doi.org/10.1142/S0217984988000059
Maeda, H., Tanaka, Y., Fukutomi, M., & Asano, T. (1988). A new high-Tc oxide superconductor without a rare earth element. Japanese Journal of Applied Physics, 27(2A), L209. https://doi.org/10.1143/JJAP.27.L209
Malozemoff, A. P. (1989). Macroscopic magnetic properties of high temperature superconductors. In D. M. Ginsberg (Ed.), Physical properties of high temperature superconductors I (pp. 71-150). World Scientific. https://doi.org/10.1142/0675
Müller, K. H., & Matthews, D. N. (1993). A model for the hysteretic critical current density in polycrystalline high-temperature superconductors. Physica C: Superconductivity, 206(3-4), 275-284. https://doi.org/10.1016/0921-4534(93)90526-V
Özçelik, B., Özkurt, B., Yakıncı, M. E., Sotelo, A., & Madre, M. A. (2013). Relationship between annealing time and magnetic properties in Bi-2212 textured composites. Journal of Superconductivity and Novel Magnetism, 26(4), 873-878. https://doi.org/10.1007/s10948-012-1874-9
Peterson, R. L., & Ekin, J. W. (1988). Josephson-junction model of critical current in granular Y1Ba2Cu3O7−δ superconductors. Physical Review B, 37(16), 9848. https://doi.org/10.1103/PhysRevB.37.9848
Ross, D. K. (2005). A determination of the variation in the lattice parameters of Bi2Sr2CaCu2O8+x (Bi-2212) as a function of temperature and oxygen content. Physica C: Superconductivity, 425(3-4), 130-134. https://doi.org/10.1016/j.physc.2005.06.016
Scherrer, P. (1918). Estimation of the size and internal structure of colloidal particles by means of röntgen. Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, 2, 96-100.
Tarascon, J. M., McKinnon, W. R., Barboux, P., Hwang, D. M., Bagley, B. G., Greene, L. H., Hull, G. W., LePage, Y., Stoffel, N., & Giroud, M. (1988). Preparation, structure, and properties of the superconducting compound series Bi2Sr2Can−1CunOy with n=1,2, and 3. Physical Review B, 38(13), 8885. https://doi.org/10.1103/PhysRevB.38.8885
Wang, G., Raine, M. J., & Hampshire, D. P. (2018). The cause of ‘weak-link’grain boundary behaviour in polycrystalline Bi2Sr2CaCu2O8 and Bi2Sr2Ca2Cu3O10 superconductors. Superconductor Science and Technology, 31(2), 024001. https://doi.org/10.1088/1361-6668/aaa1b8
Yang, H., Shahzad, M. B., Yu, X., & Qi, Y. (2016). Influence mechanism of secondary gel technique on Bi-2212 superconducting phase: Gel model simulation and verification. Materials & Design, 99, 115-119. https://doi.org/10.1016/j.matdes.2016.03.051
Zhang, Y., Yang, H., Li, M., Sun, B., & Qi, Y. (2010). Improvement of multiple oxide properties: Effect of gel processes on the quality of Bi2Sr2CaCu2O8+δ superconducting powders. CrystEngComm, 12(10), 3046-3051. https://doi.org/10.1039/B927276C
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