Abstract
The behavior of the critical current density is studied in a self-field of a single-crystal NaFe1 – xCoxAs (Tc = 21.1 K) sample in the temperature range from 4 K to Tc. Within the Bardeen–Cooper–Schrieffer (BCS) model, the dependences of the superconducting carrier density ρs(T) are obtained under the assumption of the two-band case. It is shown in the case of two-gap uperconductivity, the experimental data are well described by the theory, and the superconducting gaps Δ(0) obtained by approximation are in agreement with the values determined by studying the Andreev reflection spectra.
REFERENCES
Tan, G., Zheng, P., Wang X., Chen, Y., Zhang, X., Luo, J., et al., Strong-coupling superconductivity in NaFe1 − xCoxAs: Validity of Eliashberg theory, Phys. Rev. B, 2013, vol. 87, no. 14, p. 144512. https://doi.org/10.1103/PhysRevB.87.144512
Kuzmicheva, T.E. and Kuzmichev, S.A., Electronic and superconducting properties of the AFeAs (A = Li, Na) family alkali-metal pnictides: current stage of the research (brief review), JETP Lett., 2021, vol. 114, pp. 630—642. https://doi.org/10.1134/S0021364021220070
Wang, A.F., Xiang, Z.J., Ying, J.J., Yan, Y.J., Cheng, P., Ye, G.J., et al., Pressure effects on the superconducting properties of single-crystalline Co doped NaFeAs, New J. Phys., 2012, vol. 14, no. 11, p. 113043. https://doi.org/10.1088/1367-2630/14/11/113043
Medvedev, S., McQueen, T.M., Troyan, I.A., Palasyuk, T., Eremets, M.I., Cava, R.J., et al., Electronic and magnetic phase diagram of β-Fe1. 01Se with superconductivity at 36.7 K under pressure, Nature Mater., 2009, vol. 8, no. 8, pp. 630–633. https://doi.org/10.1038/nmat2491
Liu, Z.H., Richard, P., Nakayama, K., Chen, G.F., Dong, S., He, J.B., et al., Unconventional superconducting gap in NaFe0.95Co0.05 As observed by angle-resolved photoemission spectroscopy, Phys. Rev. B, 2011, vol. 84, no. 6, p. 064519. https://doi.org/10.1103/PhysRevB.84.064519
Thirupathaiah, S., Evtushinsky, D.V., Maletz, J., Zabolotnyy, V.B., Kordyuk, A.A., Kim, T.K., et al., Weak-coupling superconductivity in electron-doped NaFe0.95Co0.05As revealed by ARPES, Phys. Rev. B, 2012, vol. 86, no. 21, p. 14508. https://doi.org/10.1103/PhysRevB.86.214508
Cho, K., Tanatar, M.A., Spyrison, N., Kim, H., Song, Y., Dai, P., Zhang, C.L., and Prozorov, R., Doping-dependent anisotropic superconducting gap in Na1−δ(Fe1−xCox)As from London penetration depth, Phys. Rev. B, 2012, vol. 86, p. 020508(R). https://doi.org/10.1103/PhysRevB.86.020508
Kim, H., Tanatar, M.A., Song, Y.J., Kwon, Y.S., and Prozorov, R., Nodeless two-gap superconducting state in single crystals of the stoichiometric iron pnictide LiFeAs, Phys. Rev. B, 2011, vol. 83, no. 10, p. 100502. https://doi.org/10.1103/PhysRevB.83.100502
Cho, K., Tanatar, M.A., Kim, H., Straszheim, W.E., Ni, N., Cava, R.J., and Prozorov, R., Doping-dependent superconducting gap anisotropy in the two-dimensional pnictide Ca10(Pt3As8)[(Fe1 – xPtx) 2As2]5, Phys. Rev. B, 2012, vol. 85, no. 2, p. 020504. https://doi.org/10.1103/PhysRevB.85.020504
Prozorov, R. and Kogan, V.G., London penetration depth in iron-based superconductors, Rep. Progr. Phys., 2011, vol. 74, no. 12, p. 124505. https://doi.org/10.1088/0034-4885/74/12/124505
Morgun, L., Kuzmichev, S., Morozov I., Degtyarenko, A., Sadakov, A., Shilov, A., et al., Upper critical field and tunneling spectroscopy of underdoped Na(Fe,Co)As single crystals, Materials, 2023, vol. 16, no. 19, p. 6421. https://doi.org/10.3390/ma16196421
Kim, T.K., Pervakov, K.S., Evtushinsky, D.V., Jung, S.W., Poelchen, G., Kummer, K., et al., Electronic structure and coexistence of superconductivity with magnetism in RbEuFe4As4, Phys. Rev. B, 2021, vol. 103, no. 17, p. 174517. https://doi.org/10.1103/PhysRevB.103.174517
Talantsev, E.F. and Tallon, J.L., Universal self-field critical current for thin-film superconductors, Nature Commun., 2015, vol. 6, no. 1, p. 7820. https://doi.org/10.1038/ncomms8820
Talantsev, E., Crump, W.P., and Tallon, J.L., Thermodynamic parameters of single-or multi-band superconductors derived from self-field critical currents, Ann. Phys., 2017, vol. 529, no. 12, p. 1700197, https://doi.org/10.1002/andp.201700197
Gross, F., Chandrasekhar, B.S., Einzel, D., et al., Anomalous temperature dependence of the magnetic field penetration depth in superconducting UBe13, Z. Physik B: Condensed Matter, 1986, vol. 64, pp. 175—188. https://doi.org/10.1007/BF01303700
Troyan, I.A., Semenok, D.V., Ivanova, A.G., Sadakov, A.V., Zhou, D., Kvashnin, A.G., Kruglov, I.A., Sobolevskiy, O.A., Lyubutina, M.V., Perekalin, D.S., Helm, T., Tozer, S.W., Bykov, M., Goncharov, A.F., Pudalov V.M., et al., Non-Fermi-liquid behavior of superconducting SnH4, Adv. Sci., 2023, vol. 10, p. 2303622. https://doi.org/10.1002/advs.202303622
Sadakov, A.V., Vlasenko, V.A., Troyan, I.A., Sobolevskiy, O.A., Semenok, D.V., Zhou, D., and Pudalov, V.M., Vortex phase dynamics in yttrium superhydride YH6 at megabar pressures, J. Phys. Chem. Lett., 2023, vol. 14, p. 6666. https://doi.org/10.1021/acs.jpclett.3c01577
Parker, D.R., Smith, M.J.P., Lancaster, T., Steele, A.J., Franke I., Baker, P.J., and Clarke, S.J., Control of the competition between a magnetic phase and a superconducting phase in cobalt-doped and nickel-doped NaFeAs using electron count, Phys. Rev. Lett., 2010, vol. 104, no. 5. p. 057007. https://doi.org/10.1103/PhysRevLett.104.057007
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This study was supported by the Russian Foundation for Basic Research, project no. 22-43-02020.
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Translated by A. Kazantsev
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Shilov, A.I., Usoltsev, A.S. & Sadakov, A.V. Features of the Multigap Superconductivity in Cobalt-Doped NaFeAs. Bull. Lebedev Phys. Inst. 50 (Suppl 14), S1517–S1521 (2023). https://doi.org/10.3103/S1068335623601917
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DOI: https://doi.org/10.3103/S1068335623601917