Abstract
Although consensus about the mechanism responsible for the recently discovered superconductivity in H2S characterized by Tc ≈ 200 K at a pressure of ≈ 150 GPa is yet to emerge, the flurry of activity it triggered has already resulted in a variety of insights and results. Taken up in this paper in the light of the insights provided by Gordon et al. (Angew. Chem. Int. Ed. 55, 3682 (2016)) and by Gor’kov and Kresin (Rev. Mod. Phys. 90, 011001 (2018)) is a detailed study of the role that the chemical potential and the effective mass of the charge carriers play in the results reported by Talantsev and co-authors (Annalen der Physics 529, 1600390 and 1700197 (2017)) for the critical current density of compressed H2S. Our framework comprises the pairing equation for moving Cooper pairs derived via the Bethe–Salpeter equation generalized to include chemical potential, temperature and an applied magnetic field, and the number equation generalized to include temperature and the applied magnetic field. We are thus led to make contact with Marel’s (Physica C 165, 35 (1990)) work of about 30 years ago that was concerned with the duality in the behavior of the chemical potential in high-Tc superconductors as a function of temperature.
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Malik, G.P., Varma, V.S. On the Temperature- and Magnetic Field–Dependent Critical Current Density of Compressed Hydrogen Sulphide. J Supercond Nov Magn 35, 3119–3126 (2022). https://doi.org/10.1007/s10948-022-06357-8
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DOI: https://doi.org/10.1007/s10948-022-06357-8