THERMODYNAMIC MAGNETIC FIELD AND SPECIFIC HEAT JUMP OF IRON-BASED SUPERCONDUCTOR BY TWO-BAND GINZBURG-LANDAU APPROACH
DOI:
https://doi.org/10.55766/sujst-2023-04-e02443Keywords:
Thermodynamic magnetic field, Specific heat jump, Fe-based superconductor, Ginzburg-Landau theoryAbstract
In this research, temperature-dependent thermodynamic magnetic field and specific heat jump of Fe-based superconductor were studied by two-band Ginzburg-Landau theory. The analytical form of the thermodynamic magnetic field was investigated by four temperature-dependent models; Chen’s model, Zhu’s model, Shanenko’s model and Changjan & Udomsamuthirun’s model. For the calculation of specific heat jump, we use the Ruthgers expression. Calculation findings indicate an inverse relationship between the critical temperature and the specific heat jump. When compared with various models, the results from Changjan and Udomsamuthirun's models suit experimental data of Ba1-xKxFe2As2 (x = 0.4) and KFe2As2 superconductors better
References
Abdel-Hafiez, M., Aswartham, S., Wurmehl, S., Grinenko, V., Hess, C., Drechsler, S.-L., Johnston, S., Wolter, A.U.B., Büchner, B., Rosner, H., and Boeri, L. (2012). Specific heat and upper critical fields in KFe2As2 single crystals. Phys. Rev. B., 85:134533. DOI: https://doi.org/10.1103/PhysRevB.85.134533
Abrikosov, A.A., (1985). Fundamentals of the Theory of Metals. North Holland, Amsterdam, 630p.
Askerzade, I.N. (2002). Specific Heat Jump of Quasi-Two-Dimensional Superconductors in BCS Approximation: Application to MgB2. Mod. Phys. Lett. B., 17(1):11-18. DOI: https://doi.org/10.1142/S0217984903004841
Askerzade, I.N. (2004). Nonlinear Thermodynamic Magnetic Field and Specific Heat of Two-band Superconductors in The Ginzburg-Landau Theory. Acta Phys. Slovaca, 54(6):535-540.
Askerzade, I.N. (2012). Unconventional Superconductors: Anisotropy and Multiband Effects, In: Materials Science, Vol. 153. Hull, R., Jagadish, C., Osgood, R. M., Parisi, J., Wang, Z. M., Uchida, S., (eds), Springer-Verlag, NY, p. 1-26. DOI: https://doi.org/10.1007/978-3-642-22652-6_1
Askerzade, I.N. (2013). Anisotropy Parameters of Critical Fields in LiFeAs Using Two-Band Ginzburg-Landau Theory. J. Supercond. Nov. Magn., 26:1,903-1,907. DOI: https://doi.org/10.1007/s10948-012-1947-9
Askerzade, I.N. (2014). Specific heat jump of two-band superconductor KFe2As2 using Ginzburg-Landau
theory. Mater. Sci. Pol., 32(3):465-469. DOI: https://doi.org/10.2478/s13536-014-0212-2
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. J. Phys. Soc. Jpn., 71(7):1,637-1,639. DOI: https://doi.org/10.1143/JPSJ.71.1637
Baily, S.A., Kohama, Y., Hiramatsu, H., Maiorov, B., Balakirev, F.F., Hirano, M., and Hosono, H. (2009). Pseudoisotropic upper critical field in cobalt-doped SrFe2As2 Epitaxial Films. Phys. Rev. Lett., 102:117004. DOI: https://doi.org/10.1103/PhysRevLett.102.117004
Barzykin, V. and Gor'kov, L.P. (2008). On Superconductingand Magnetic Properties of Iron Oxypnictides. JETP Lett., 88(2):131-135. DOI: https://doi.org/10.1134/S0021364008140130
Benfatto, L., Cappelluti, E., and Castellani, C. (2009). Spectroscopic and thermodynamic properties in a four-band model for pnictides. Phys. Rev. B., 80:214522. DOI: https://doi.org/10.1103/PhysRevB.80.214522
Bud'ko, S.L., Ni, N., and Canfield, P.C. (2009). Jump in specific heat at the superconducting transition temperature in Ba(Fe1−xCox)2As2 and Ba(Fe1−xNix)2As2 single crystals. Phys. Rev. B., 79:220516(R).
Changjan, A. and Udomsamuthirun, P. (2011). The critical magnetic field of anisotropic two-band magnetic superconductors. Solid State Commun., 151(14-45):988-992. DOI: 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 J. Sci. Technol., 35(5):611-614.
Changjan, A. and Udomsamuthirun, P. (2014). London Penetration Depth of Fe-Based Superconductors. Adv. Mat. Res., 979:297-301. DOI: https://doi.org/10.4028/www.scientific.net/AMR.979.297
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. J. Phys. Chem. Solids, 107:32-35.
DOI: 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 Supercond., 471(23-24):1,591-1,594. DOI: https://doi.org/10.1016/j.physc.2011.08.001
Day, C. (2009). Iron-based superconductors. Phys. Today, 62(8):36-40. DOI: https://doi.org/10.1063/1.3206093
Dolgov, O.V., Mazin, I.I., Parker, D., and Golubov, A.A. (2009). Interband superconductivity: Contrasts between Bardeen-Cooper-Schrieffer and Eliashberg theories. Phys. Rev. B. 79:060502(R). DOI: https://doi.org/10.1103/PhysRevB.79.060502
Fangying, L. (2014). Study of the specific heat of two-band superconductors. Physica B Condens. Matter, 444:85-88. DOI: https://doi.org/10.1016/j.physb.2014.03.038
Ginzburg, V.L. and Andryushin, E. A. (2004). Superconductivity. World Scientific Publishing, New Jersey, 92p. DOI: https://doi.org/10.1142/5580
Golubov, A.A., Kortus, J., Dolgov, O. V., Jepsen, O., Kong, Y., Andersen, O.K., Gibson, B.J., Ahn, K., and Kremer, R.K. (2002). Specific heat of MgB2 in a one- and a two-band model from first-principles calculations. J. Phys.: Condens. Matter, 14:1353. DOI: https://doi.org/10.1088/0953-8984/14/6/320
Hampshire, D.P. (1998). Ferromagnetic and antiferromagnetic superconductivity. Physica C Supercond, 304(1-2):1-11. DOI: https://doi.org/10.1016/S0921-4534(98)00293-7
Hunte, F., Jaroszynski, J., Gurevich, A., Larbalestier, D.C., Jin, R., Sefat, A.S., McGuire, M.A., Sales, B.C., Christen, D.K., and Mandrus, D. (2008). Two-band superconductivity in LaFeAsO0.89F0.11 at very high magnetic fields. Nature, 453:903-905. DOI: https://doi.org/10.1038/nature07058
Kamihara, Y., Watanabe, T., Hirano, M., and Hosono, H. (2008). Iron-Based Layered Superconductor. La[O1-x Fx]FeAs (x = 0.05-0.12) with Tc = 26 K. J. Am. Chem. Soc., 130(11):3,296-3,297.
DOI: https://doi.org/10.1021/ja800073m
Khasanov, R., Evtushinsky, D.V., Amato, A., Klauss, H.H., Luetkens, H., Niedermayer, Ch., Büchner, B., Sun, G.L., Lin, C.T., Park, J.T., Inosov, D.S., and Hinkov, V. (2009). Two-Gap Superconductivity in Ba1−xKxFe2As2:
A Complementary Study of the Magnetic Penetration Depth by Muon-Spin Rotation and Angle-Resolved Photoemission. Phys. Rev. Lett., 102:187005.
Ptok, A., Kapcia, K.J., Sternik, M., and Piekarz, P. (2020). Superconductivity of KFe2As2 Under Pressure: Ab Initio Study of Tetragonal and Collapsed Tetragonal Phases. J. Supercond. Nov. Magn., 33:2,347-2,354. DOI: https://doi.org/10.1007/s10948-020-05454-w
Rotter, M., Tegel, M., and Johrendt, D. (2008). Superconductivity at 38 K in the Iron Arsenide (Ba1−xKx)Fe2As2. Phys. Rev. Lett. 101:107006. DOI: https://doi.org/10.1103/PhysRevLett.101.107006
Shanenko, A.A., Milošević, M.V., Peeters, F.M., and Vagov, A.V. (2011). Extended Ginzburg-Landau Formalism for Two-Band Superconductors. Phys. Rev. Lett., 106:047005. DOI: https://doi.org/10.1103/PhysRevLett.106.047005
Tarantini, C., Gurevich, A., Jaroszynski, J., Balakirev, F., Bellingeri, E., Pallecchi, I., Ferdeghini, C., Shen, B., Wen, H.H., and Larbalestier, D.C. (2011). Significant enhancement of upper critical fields by doping and strain in iron-based superconductors. Phys. Rev. B 84, 184522. DOI: https://doi.org/10.1103/PhysRevB.84.184522
Ummarino, G.A. (2011). Multiband s± Eliashberg theory and temperature-dependent spin-resonance energy in iron pnictide superconductors. Phys. Rev. B., 83:092508. DOI: https://doi.org/10.1103/PhysRevB.83.092508
Wen, H. H. (2020). Specific heat in superconductors. Chin. Phys. B., 29(1):017401. DOI: https://doi.org/10.1088/1674-1056/ab5a3d
Yamamoto, A., Jaroszynski, J., Tarantini, C., Balicas, L., Jiang, J., Gurevich, A., Larbalestier, D.C., Jin, R., Sefat, A.S., McGuire, M.A., Sales, B.C., Christen, D.K., and Mandrus, D. (2009). Small anisotropy, weak thermal fluctuations and high field superconductivity in Co-doped iron pnictide Ba(Fe1−xCox)2As2. Appl. Phys. Lett., 94:062511. DOI: https://doi.org/10.1063/1.3081455
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. Supercond. Sci. Technol., 21(10):105001. DOI: https://doi.org/10.1088/0953-2048/21/10/105001








