Generalized BCS Equations and the Iron-Pnictide Superconductors
- 1 Theory Group, School of Environmental Sciences, Jawaharlal Nehru University, New Delhi, India
- 2 Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, México DF, México
- 3 Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, México DF, México
Abstract
A detailed quantitative study of the pnictide composite superconductor (CS) Ba 0.6 K 0.4 Fe 2 As 2 is presented in the frame - work of t he recently derived set of generalized BCS equations . Invoking multiple Debye temperatures to take into account anisotropy of the CS, we address the current experimental data on its T c and the (not so clear-cut) gap-values via different theoretical scenarios that attempt to identify the ion species responsible for pairing in it. This is done with the aid of the Bogoliubov ’ s restriction on the BCS dimensionless electron-phonon coupling constant. Significantly, our study sheds light on the gaps which have recently been observed in different iron-pnictide CSs as nodes or line-nodes on the Fermi surface and have evinced considerable interest.
- Y. Kamihara, T. Watanbe, M. Hirano and H. Hosono, “Iron-Based Layered Superconductor La[O 1-x Fe x ]FeAs (x = 0.05 - 0.12) with T c = 26 K,” Journal of the American Chemical Society, Vol. 130, No. 11, 2008, pp. 3296-3297. doi:10.1021/ja800073m
- H. Takahashi, K. Igawa, K. Arii, Y. Kamihara, M. Hirano and H. Hosono, “Superconductivity at 43 K in an Iron-Based Layered Compound La 1-x Fe x FeAs,” Nature, Vol. 453, No. 7193, 2008, pp. 376-378. doi:10.10/nature06972
- K. Ishida, Y. Nakai and H. J. Hosono, “To What Extent Iron-Pnictide New Superconductors Have Been Clarified: A Progress Report,” Journal of the Physical Society of Japan, Vol. 78, 2009, Article ID: 062001. doi:10.1143/JPSJ.78.062001
- P. M. Aswathy, J. B. Anooja, P. M. Sarun and U. Syamaprasad, “An Overview on Iron Based Superconductors,” Superconductor Science and Technology, Vol. 23, No. 7, 2010, Article ID: 073001. doi:10.1088/0953-2048/23/7/073001
- G. P. Malik, “On the Equivalence of Binding Energy of a Cooper Pair and the BCS Energy Gap: A Framework for Dealing with Composite Superconductors,” International Journal of Modern Physics B, Vol. 24, No. 9, 2010, p. 1159. doi:10.1142/S0217979210055408
- G. Mu, H. Luo, Z. Wang, L. Shan, C. Ren and W. Wen, “Low Temperature Specific Heat of the Hole-Doped Ba0.6K0.4Fe2As2 Single Crystals,” Physical Review B, Vol. 79, No. 17, 2009, Article ID: 174501. doi:10.1103/PhysRevB.79.174501
- L. Shan, Y. Wang, B. Shen, B. Zeng, Y. Huang, A. Li, et al., “Observation of Ordered Vortices with Andreev Bound States in Ba0.6K0.4Fe2As2,” Nature Physics, Vol. 7, 2011, pp. 325-331. doi:10.1038/nphys1908
- H. Ding, P. Richard, K. Nakayama, K. Sugawara, T. Arakane, Y. Sekiba, et al., “Observation of Fermi-SurfaceDependent Nodeless Superconducting Gaps in Ba 0.6 K 0.4 Fe 2 As 2 ,” Europhysics Letters, Vol. 83, No. 4, 2008, Article ID: 47001. doi:10.1209/0295-5075/83/47001
- C. Ren, Z. Wang, H. Luo, H. Yang, L. Shan and W. Hai-Hu, “Evidence for Two Energy Gaps in Superconducting Ba 0.6 K 0.4 Fe 2 As 2 Single Crystals and the Breakdown of the Uemura Plot,” Physical Review Letters, Vol. 101, No. 25, 2008, Article ID: 257006. doi:10.1103/PhysRevLett.101.257006
- P. Popovich, A. V. Boris, O. V. Dolgov, A. A. Golubov, D. L. Sun, C. T. Lin, et al., “Specific Heat Measurements of Ba 0.6 K 0.4 Fe 2 As 2 Single Crystals: Evidence for a Multiband Strong-Coupling Superconducting State,” Physical Review Letters, Vol. 105, No. 2, 2010, Article ID: 027003. doi:10.1103/PhysRevLett.105.027003