THE THIRD CRITICAL FIELD (HC3) OF SINGLE-CRYSTALLINE K0.73Fe1.68Se2 BY GINZBURG-LANDAU APPROACH
DOI:
https://doi.org/10.55766/sujst-2023-02-e01605Keywords:
Ginzburg-Landau theory, Magnetic Superconductors, Surface critical magnetic field (Hc3)Abstract
In this paper, two-band Ginzburg-Landau (GL) equations for magnetic superconductors were solved analytically to determine the temperature dependence of surface critical magnetic field (Hc3). By variation method analytically from 1st GL equations and modified to the Changjan & Udomsamuthirun’s temperature dependence model. We found that, our model could find a good agreement with the experimental data of single-crystalline K0.73Fe1.68Se2 superconductors vicinity the critical temperature scenery and the ratio Hc3/Hc2 (where Hc2 is the upper critical field of single-crystalline K0.73Fe1.68Se2) indicated powerful temperature dependence.
References
Imaging, a success story for superconductivity. Europhysics News, 43(4):26-29. https://doi.org/10.1051/
epn/2012404.
Askerzade, I.N. (2003). Surface critical magnetic field Hc3(T) of a bulk superconductor MgB2 using two-band Ginzburg-Landau theory. Pramana - Journal of Physics, 61(3):611-616. https://doi.org/10.1007/BF02705483.
Askerzade, I.N. and Gencer, A. (2002). Thermodynamic Magnetic Field and Specific Heat Jump of a Bulk Superconductor MgB2 Using Two-Band Ginzburg-Landau Theory. Journal of the Physical Society of Japan, 71(7):1637-1639. https://doi.org/10.1143/JPSJ.71.1637.
Askerzade, I.N., Gencer, A., and Güçlü, N. (2002a). On the Ginzburg-Landau analysis of the upper critical field Hc2 in MgB2. Superconductor Science and Technology, 15(2):L13-L16. https://doi.org/10.1088/09532048/15/2/102.
Askerzade, I.N., Gencer, A., Güçlü, N., and Kiliç, A. (2002b). Two-band Ginzburg-Landau theory for the lower critical field Hc1 in MgB2. Superconductor Science and Technology, 15(6):L17-L20. https://doi.org/10.1088/0953-2048/15/6/101.
Bellingeri, E., Pallecchi, I., Buzio, R., Gerbi, A., Marrè, D., Cimberle, M. R., Tropeano, M., Putti, M., Palenzona, A., and Ferdeghini, C. (2010). Tc = 21 K in epitaxial FeSe0.5Te0.5 thin films with biaxial compressive strain. Applied Physics Letters, 96:102512. https://doi.org/10.1063/1.3358148.
Bray, J.W. (2009). Superconductors in Applications; Some Practical Aspects. IEEE Transactions on Applied Superconductivity, 19(3):2533-2539. https://doi.org/10.1109/TASC.2009.2019287.
Buckel, W. (1991). Superconductivity: fundamentals and application. VCH Publishers Inc., NY, 475p.
Changjan, A. and Udomsamuthirun, P. (2011a). Critical magnetic field ratio of anisotropic magnetic superconductors. Physica C: Superconductivity, 471(1-2):23-25. https://doi.org/10.1016/j.physc.2010.10.002.
Changjan, A. and Udomsamuthirun, P. (2011b). The critical magnetic field of anisotropic two-band magnetic superconductors. Solid State Communications, 151(14-15):988-992. https://doi.org/10.1016/j.ssc.2011.04.032.
Changjan, A. and Udomsamuthirun, P. (2013). Critical temperature of magnetic superconductors by two-band Ginzburg-Landau approach. Songklanakarin Journal of Science and Technology, 35(5):611-614.
Changjan, A., Meakniti, S., and Udomsamuthirun, P. (2017). The temperature-dependent surface critical magnetic field (HC3) of magnetic superconductors: Applied to lead bismuth (Pb82Bi18) superconductors. Journal of Physics and Chemistry of Solids 107:32-35. https://doi.org/10.1016/j.jpcs.2017.03.022.
Chen, L., Zuo, J., Lu, Y., and Huang, H. (2011). Two-band calculations on the upper critical field of superconductor NbSe2. Physica C: Superconductivity, 471(23-24):1591-1594. https://doi.org/10.1016/j.physc.2011.08.001.
De Gennes, P.G. and Saint-James, D. (1963). Elementary excitations in the vicinity of a normal metal-superconducting metal contact. Physics Letters, 4(2):151-152. https://doi.org/10.1016/0031-9163(63)90148-3.
Drung, D., Abmann, C., Beyer, J., Kirste, A., Peters, M., Ruede, F., and Schurig, Th. (2007). Highly Sensitive and Easy-to-Use SQUID Sensors. IEEE Transactions on Applied Superconductivity, 17(2):699-704. https://doi.org/10.1109/TASC.2007.897403.
Fang, M., Yang, J., Balakirev, F.F., Kohama, Y., Singleton, J., Qian, B., Mao, Z.Q., Wang, H., and Yuan, H.Q. (2010). Weak anisotropy of the superconducting upper critical field in Fe1.11Te0.6Se0.4 single crystals. Physical Review B, 81:020509(R). https://doi.org/10.1103/PhysRevB.81.020509.
Georgescu, I. (2020). Superconducting accelerator technologies. Nature Reviews Physics, 2:128. https://doi.org/10.1038/s42254-020-0155-y.
Hampshire, D.P. (1998). Ferromagnetic and antiferromagnetic superconductivity. Physica C: Superconductivity, 304(1-2):1-11. https://doi.org/10.1016/S0921-4534(98)00293-7.
Hampshire, D.P. (2001). The non-hexagonal flux-line lattice in superconductors. Journal of Physics: Condensed Matter, 13:6095-6113. https://doi.org/10.1088/0953-8984/13/27/304.
Homes, C.C., Xu, Z.J., Wen, J.S., and Gu, G.D. (2012). Optical conductivity of superconducting K0.8Fe2-ySe2 single crystals: Evidence for a Josephson-coupled phase. Physical Review B, 85:180510(R).
Jia, Y., Cheng, P., Fang, L., Luo, H., Yang, H., Ren, C., Shan, L., Gu, C., and Wen, H.H. (2008). Critical fields and anisotropy of NdFeAsO0.82F0.18 single crystals. Applied Physics Letters, 93:032503. https://doi.org/10.1063/1.2963361.
Kamihara, Y., Watanabe, T., Hirano, M., and Hosono, H. (2008). Iron-based layered superconductor La[O1-xFx]FeAs (x = 0.05-0.12) with Tc = 26 K. Journal of the American Chemical Society, 130(11):3296-3297. https://doi.org/10.1021/ja800073m.
Kawaguchi, T., Sakagami, A., Mori, Y., Tabuchi, M., Ujihara, T., Takeda, Y., and Ikuta, H. (2014). The strain effect on the superconducting properties of BaFe2(As, P)2 thin films grown by molecular beam epitaxy. Superconductor Science and Technology, 27:065005. https://doi.org/10.1088/0953-2048/27/6/065005.
Ketterson, J.B. and Song, S.N. (1998). Superconductivity. Cambridge University Press, Cambridge, 512p.
Klushin, A.M., Behr, R., Numssen, K., Siegel, M., and Niemeyer, J. (2002). Accurate measurements of quantum voltage steps on arrays of bicrystal Josephson junctions. Applied Physics Letters, 80(11):1972-1974. https://doi.org/10.1063/1.1458072.
Lee, S., Jiang, J., Zhang, Y., Bark, C.W., Weiss, J.D., Tarantini, C., Nelson, C.T., Jang, H.W., Folkman, C.M., Baek, S.H., Polyanskii, A., Abraimov, D., Yamamoto, A., Park, J.W., Pan, X.Q., Hellstrom, E.E., Larbalestier, D.C., and Eom, C.B. (2010). Template engineering of Co-doped BaFe2As2 single-crystal thin films. Nature Materials, 9:397-402. https://doi.org/10.1038/nmat2721.
Lin, H., Yao, C., Zhang, X., Dong, C., Zhang, H., Wang, D., Zhang, Q., Ma, Y., Awaji, S., Watanabe, K., Tian, H., and Li, J. (2014). Hot pressing to enhance the transport Jc of Sr0.6K0.4Fe2As2 superconducting tapes. Scientific Reports, 4:6944. https://doi.org/10.1038/srep06944.
Liu, M. (2007). Surface critical field of MgB2: the two-band Ginzburg-Landau theory. Superconductor Science and Technology, 20:157-161. https://doi.org/10.1088/0953-2048/20/3/008.
Meakniti, S., Changjan, A., and Udomsamuthirun, P. (2014). The Study on Surface Critical Magnetic Field of a Layered Magnetic Superconductors. Advanced Materials Research, 979:224-227. https://doi.org/10.4028/www.scientific.net/AMR.979.224.
Ni, N., Bud'ko, S.L., Kreyssig, A., Nandi, S., Rustan, G.E., Goldman, A.I., Gupta, S., Corbett, J.D., Kracher, A., and Canfield, P.C. (2008). Anisotropic thermodynamic and transport properties of single-crystalline Ba1-xKxFe2As2
(x = 0 and 0.45). Physical Review B, 78:014507. https://doi.org/10.1103/PhysRevB.78.014507.
Shanenko, A.A., Milošević, M.V., Peeters, F.M., and Vagov, A.V. (2011). Extended Ginzburg-Landau Formalism for Two-Band Superconductors. Physical Review Letters, 106:047005. https://doi.org/10.1103/PhysRevLett.106.047005.
Shimoyama, J. (2014). Potentials of iron-based superconductors for practical future materials. Superconductor Science and Technology, 27:044002. https://doi.org/10.1088/0953-2048/27/4/044002.
Swithenby, S.J. (1980). SQUIDS and their applications in the measurement of weak magnetic fields. Journal of Physics E: Scientific Instruments, 13(8):801-813. https://doi.org/10.1088/0022-3735/13/8/001.
Tampieri, A., Szabó, M., Medina, F., and Gulyás, H. (2020). A brief introduction to the basics of NMR spectroscopy and selected examples of its applications to materials characterization. Physical Sciences Reviews, 6(1):20190086. https://doi.org/10.1515/psr-2019-0086.
Tinkham, M. (1996). Introduction to Superconductivity. McGraw-Hill, Inc, NY, 454p. https://doi.org/10.1063/
2807811.
Tsindlekht, M.I., Felner, I., Zhang, M., Wang, A.F., and Chen, X.H. (2011). Superconducting critical fields of single-crystalline K0.73Fe1.68Se2. Physical Review B, 84:052503. https://doi.org/10.1103/PhysRevB.84.052503.
Udomsamuthirun, P., Changjan, A., Kumvongsa, C., and Yoksan, S. (2006). Hc2 of anisotropy two-band superconductors by Ginzburg-Landau approach. Physica C: Superconductivity and its Applications, 434(1):62-66. https://doi.org/10.1016/j.physc.2005.12.001.
Yin, Y., Zech, M., Williams, T.L., Wang, X.F., Wu, G., Chen, X.H., and Hoffman, J.E. (2009). Scanning Tunneling Spectroscopy and Vortex Imaging in the Iron Pnictide Superconductor BaFe1.8Co0.2As2. Physical Review Letters, 102:097002. https://doi.org/10.1103/PhysRevLett.102.097002.
Yuan, H., Singleton, J., Balakirev, F.F., Baily, S.A., Chen, G.F., Luo, J.L., and Wang, N.L. (2009). Nearly isotropic superconductivity in (Ba,K)Fe2As2. Nature, 457:565-568. https://doi.org/10.1038/nature07676.
Zhai, Y., Tan, Z., Liu, X., Shen, B., Coombs, T.A., and Wang, F. (2020). Research Progress of Contactless Magnetization Technology: HTS Flux Pumps. IEEE Transactions on Applied Superconductivity, 30(4):1-5. https://doi.org/10.1109/TASC.2020.2983412.
Zhang, J.L., Jiao, L., Chen, Y., and Yuan, H. (2011). Universal behavior of the upper critical field in iron-based superconductors. Frontiers of Physics, 6(4):463-473. https://doi.org/10.1007/s11467-011-0235-7.
Zhi-An, R., Wei, L., Jie, Y., Wei, Y., Xiao-Li, S., Zheng-Cai, L., Guang-Can, C., Xiao-Li, D., Li-Ling, S., Fang, Z., and Zhong-Xian, Z. (2008). Superconductivity at 55 K in Iron-Based F-Doped Layered Quaternary Compound Sm[O1−xFx]FeAs. Chinese Physics Letters, 25(6):2215-2216. https://doi.org/10.1088/0256-307X/25/6/080.
Zhu, X., Yang, H., Fang, L., Mu, G., and Wen, H.H. (2008). Upper critical field, Hall effect and magnetoresistance in the iron-based layered superconductor LaFeAsO0.9F0.1-δ. Superconductor Science and Technology, 21(10):105001. https://doi.org/10.1088/0953-2048/21/10/105001.








