Compressed H<sub>3</sub>S: Fits to the Empirical <i>H<sub>c2</sub>(T)</i> Data and a Discussion of the Meissner Effect
- 1 Gurugram, India
- 2 Gurugram, India
- 3 Theory Group, School of Environmental Sciences, Jawaharlal Nehru University, New Delhi, India
- 4 Department of Physics and Astrophysics, University of Delhi, Delhi, India
Abstract
Based on μ -, T - and H -dependent pairing and number equations and the premise that μ ( T ) is predominantly the cause of the variation of the upper critical field H c 2 ( T ) , where μ , T and H denote the chemical potential, temperature and the applied field, respectively, we provide in this paper fits to the empirical H c 2 ( T ) data of H 3 S reported by Mozaffari , et al. (2019) and deal with the issue of whether or not H 3 S exhibits the Meissner effect. Employing a variant of the template given by Dogan and Cohen (2021), we examine in detail the results of Hirsch and Marsiglio (2022) who have claimed that H 3 S does not exhibit the Meissner effect and Minkov , et al. (2023) who have claimed that it does. We are thus led to suggest that monitoring the chemical potential (equivalently, the number density of Cooper pairs N s at T = T c ) should shed new light on the issue being addressed.
- 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
- Gordon, E.E., et al. (2016) Structure and Composition of the 200 K-Superconducting Phase of H2S at Ultrahigh Pressure: The Perovskite (SH-) (H 3 S+). Angewandte Chemie International Edition, 55, 3682-3684. https://doi.org/10.1002/anie.201511347
- 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
- Snider, E., et al. (2020) RETRACTED ARTICLE: Room-Temperature Superconductivity in a Carbonaceous Sulfur Hydride. Nature, 586, 373-377. https://doi.org/10.1038/s41586-020-2801-z
- 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
- Mozaffari, S., et al. (2019) Superconducting Phase Diagram of H3S under High Magnetic Fields. Nature Communications, 10, Article No. 2522. https://doi.org/10.1038/s41467-019-10552-y
- Werthamer, N.R., Helfand, E. and Hohenberg, P.C. (1966) Temperature and Purity Dependence of the Superconducting Critical Field, Hc2III Electron Spin and Spin-Orbit Effects. Physical Review, 147, 295-302. https://doi.org/10.1103/PhysRev.147.295
- Talantsev, E.F. (2019) Classifying Superconductivity in Compressed H3S. Modern Physics Letters B, 33, Article ID: 19501951. https://doi.org/10.1142/S0217984919501951
- Minkov, V.S., et al. (2022) Magnetic Field Screening in Hydrogen-Rich High-Temperature Super Conductors. Nature Communications, 13, Article No. 3194. https://doi.org/10.1038/s41467-022-30782-x
- Minkov, V.S., Ksenofontov, V., Bud’ko, S.L., Talantsev, E.F. and Eremets, M.I. (2023) Magnetic Flux Trapping in Hydrogen-Rich High-Temperature Super Conductors. Nature Physics, 19, 1293-1300. https://doi.org/10.1038/s41567-023-02089-1
- Malik, G.P. (2016) Superconductivity: A New Approach Based on the Bethe-Salpeter Equation in the Mean-Field Approximation. (Series on Directions in Condensed Matter Physics Book 21). World Scientific Publishing Co., Pte Ltd., Singapore. https://doi.org/10.1142/9868
- Malik, G.P. and Varma, V.S. (2020) Generalized BCS Equations: A Review and a Detailed Study of the Superconducting Features of Ba 2 Sr 2 CaCu 2 O 8 . In: Yavari, H., Ed., On the Properties of Novel Superconductors, Intech Open, London, 203.