Excellent
fits were obtained by Talantsev (MPLB 33, 1950195, 2019) to the temperature (T)-dependent upper critical field
(Hc2(T)) data of H3S reported
by Mozaffari et al. [Nature
Communications 10, 2522 (2019)]by employing four alternative phenomenological models,
each of which invoked two or more properties from its sample-specific set S1 = {Tc, gap, coherence length, penetration depth, jump in sp.ht.}
and a single value of the effective mass (m*) of an electron. Based on the
premise that the variation of Hc2(T) is due to the variation of the chemical potential μ(T), we report here fits to the
same data by employing a T-, μ- and m*-dependent equation for Hc2(T) and three models of μ(T), viz. the linear, the parabolic
and the concave-upward model. For temperatures up to which the data are available,
each of these provides a good fit. However, for lower values of T, their
predictions differ. Notably, the predicted values of Hc2(0) are much higher than in any of the models dealt with by Talantsev.
In sum, we show here that the addressed data are explicable in a framework comprising
the set S2 = {μ, m*, interaction parameterλm, Landau index NL}, which is altogether different from S1.
References
[1]
Drozdov, A.P., Eremets, M.I, Troyan, I.A., Ksenoafontov, V. and Shylin, S.I. (2015) Conventional Superconductivity at 203 Kelvin at High Pressure in Sulfur Hydride System. Nature, 525, 73-76. https://doi.org/10.1038/nature14964
[2]
Malik, G.P. (2022) Superconductivity of Compressed H2S in the Framework of the Generalized BCS Equations. European Physics Journal Plus, 137, Article No. 786. https://doi.org/10.1140/epjp/s13360-022-03003-z
[3]
Talantsev, E.F. (2019) Classifying Superconductivity in Compressed H3S. Modern Physics Letters B, 33, 19501951. https://doi.org/10.1142/S0217984919501951
[4]
Mozaffari, S., et al. (2019) Superconducting Phase Diagram of H3S under High Magnetic Fields. Nature Communications, 10, 2522. https://doi.org/10.1038/s41467-019-10552-y
[5]
Werthamer, N.R., Helfand, E. and Hohenberg, P.C. (1966) Temperature and Purity Dependence of the Superconducting Critical Field, Hc2. III Electron Spin and Spin-Orbit Effects. Physical Review, 147, 295-302. https://doi.org/10.1103/PhysRev.147.295
[6]
Bumgartner, T., et al. (2014) Effects of Neutron Irradiation on Pinning Force Scaling in State-of-the-Art Nb3Sn Wires. Superconductor Science and Technology, 27, Article ID: 015005. https://doi.org/10.1088/0953-2048/27/1/015005
[7]
Jones, C.K., Hulm, J.K. and Chandrasekhar, B.S. (1964) Upper Critical Field of Solid Solution Alloys of the Transition Elements. Reviews of Modern Physics, 36, 74-76. https://doi.org/10.1103/RevModPhys.36.74
[8]
Gor’kov, L.P. (1960) The Critical Supercooling Field in Superconductivity Theory. Soviet Physics JETP, 37, 593-599.
[9]
Malik, G.P. and Varma, V.S. (2021) A New Microscopic Approach to Deal with the Temperature-and Applied Magnetic Field-Dependent Critical Current Densities of Superconductors. Journal of Superconductivity and Novel Magnetism, 34, 1551-1561. https://doi.org/10.1007/s10948-021-05852-8
[10]
Gordon, E.E., et al. (2016) Structure and Composition of the 200 K-Supercon Ducting Phase of H2S at Ultrahigh Pressure: The Perovskite (SH-) (H3S+). Angewandte Chemie International Edition, 55, 3682-3684. https://doi.org/10.1002/anie.201511347
[11]
Talantsev, E.F. (2020) Deby Temperature in LaHx-LaDy Superconductors. arXiv: 2004.03155.
[12]
Malik, G.P. (2021) The Debye Temperatures of the Constituents of a Composite Superconductor. Physica B: Condensed Matter, 628, Article ID: 413559. https://doi.org/10.1016/j.physb.2021.413559
[13]
Malik, G.P. (2016) Superconductivity: A New Approach Based on the Bethe-Salpeter Equation in the Mean-Field Approximation. World Scientific Publishing Co Pte Ltd, Singapore. https://doi.org/10.1142/9868
[14]
Gor’kov, L.P. and Kresin, V.Z. (2018) Colloquium: High Pressure and Road to Room Temperature Superconductivity. Reviews of Modern Physics, 90, Article ID: 011001. https://doi.org/10.1103/RevModPhys.90.011001
[15]
Malik, G.P. and Varma, V.S. (2022) On the Temperature-and Magnetic Field-Dependent Critical Current Density of Compressed Hydrogen Sulphide. Journal of Superconductivity and Novel Magnetism, 35, 3119-3126. https://doi.org/10.1007/s10948-022-06357-8
[16]
Hirsch, J.E. and Marsiglio, F. (2022) Clear Evidence against Superconductivity in Hydrides under High Pressure. Matter and Radiation at Extremes, 7, Article ID: 058401. https://doi.org/10.1063/5.0091404
[17]
Dogan, M. and Cohen, M.L. (2021) Anomalous Behavior in High-Pressure Carbonaceous Sulfur Hydride. Physica C: Superconductivity and Its Applications, 583, Article ID: 1353851. https://doi.org/10.1016/j.physc.2021.1353851
[18]
Malik, G.P., Malik, U., Pande, L.K. and Varma, V.S. (1995) On Solar Emission Lines: Calculation of Relative Line Intensities Based on the Finite-Temperature Schroedinger Equation. Astrophysical Journal, 447, Article 443. https://doi.org/10.1086/175888
[19]
Malik, G.P., Jha, R.K. and Varma, V.S. (1998) Quarkonium Mass Spectra from the Temperature Dependent Bethe-Salpeter Equation with Logarithmic and Coulomb plus Square-Root Kernels. The European Physical Journal A—Hadrons and Nuclei, 3, 373-375. https://doi.org/10.1007/s100500050191