THE PENETRATION DEPTH OF H3S SUPERCONDUCTOR BY SEMICLASSICAL APPROACH

Grittichon Chanilkul; Arpapong Changjan; Thitipong Kruaehong; Pongkeaw Udomsamuthirun

doi:10.55766/sujst-2023-04-e02470

Authors

Grittichon Chanilkul Prasarnmit Physics Research Unit, Department of Physics, Faculty of Science, Srinakharinwirot University, Sukumvit 23 Road, Bangkok 10110, Thailand
Arpapong Changjan Department of Environmental Technology and Applied Science, Faculty of Science and Technology, Pathumwan Institute of Technology, Bangkok 10330, Thailand
Thitipong Kruaehong Department of industrial electric, Faculty of Science and Technology, Suratthani Rajabhat University, Suratthani, 84100, Thailand
Pongkeaw Udomsamuthirun Prasarnmit Physics Research Unit, Department of Physics, Faculty of Science, Srinakharinwirot University, Sukumvit 23 Road, Bangkok 10110, Thailand

DOI:

https://doi.org/10.55766/sujst-2023-04-e02470

Keywords:

Penetration depth, Semiclassical approach, Meissner effect, BCS theory, H¬3S superconductor

Abstract

The penetration depth is a magnetic field mechanism by which an external magnetic field penetrates into superconductors’ surfaces and is related to the Meissner effect. The penetration depth property was studied by the semiclassical approach to identify other properties of superconductors. In this study, we investigated the penetration depth of the H₃S superconductor under external pressure. The H₃S superconductor is high T_c, s-wave isotropic, and high pressure prepared superconductors. We derive an analytical equation for the near-zero temperature penetration depth with pressure effect parameters. The derived equations were then numerically calculated and predicted the experimental data on H₃S superconductor penetration depth. We discovered that the temperature dependent penetration depth under pressure of H₃S superconductor is reasonable at T_c(χ = 473, ε₀= 91,Qp = 0.1) = 200.832 K. , as well as is the influence of the directly parameter on T_c(χ,ε₀,Qp), Δ(0,χ,ε₀,Qp), and λ(T,χ,ε₀,Qp)/λ(0,χ,ε₀,Qp), with Qp>0.1 does not corresponding theory

References

Ashcroft, N. W. (1968). Metallic Hydrogen: A High Temperature Superconductor?. Phys. Rev. Lett., 21(26):1,748-1,749.

https://doi.org/10.1103/PhysRevLett.21.1748

Bardeen, J., Cooper, L.N., and Schrieffer, J.R. (1957). Theory of Superconductivity. Phys. Rev., 108(5):1,1751,204.

https://doi.org/10.1103/PhysRev.108.1175

Burns, R.B. (1992). Teacher education and personal development. Rev. Res. Educ., 47(1):54-63.

https://doi.org/10.1177/003452379204700106

Chandrasekhar, B.S. and Einzel, D. (1993). The superconducting penetration depth from the semiclassical model. Ann. Phys., 505:535-546.

https://doi.org/10.1002/andp.19935050604

Changjan, A., Chanilkul, G., and Udomsamuthirun, P. (2021). London penetration depth of CaAlSi superconductors by semi-classical approach. Suranaree J. Sci. Technol. 29(1):010099(1-8).

Chanpom, T., Ruangrungrote, S., and Udomsamuthirun, P. (2022). The investigation of an anomalous isotope exponent of superconductors under high pressure in weak-coupling limit. J. Low Temp. Phys., 207:264-277.

https://doi.org/10.1007/s10909-022-02736-6

Dias R.P., and Silvera I.F. (2017). Observation of the Wigner-Huntington transition to metallic hydrogen. Science, 355(6,326):715-718.

https://doi.org/10.1126/science.aal1579

Drozdov, A., Eremets, M., Troyan, I., Ksenofontov, V., and Shylin, S. (2015). Conventional superconductivity at 203 kelvin at high pressures in the sulfur hydride system. Nature, 525:73.

https://doi.org/10.1038/nature14964

Eremets, M.I., Trojan, I.A., Medvedev, S.A., Tse, J.S., and Yao, Y. (2008). Superconductivity in Hydrogen Dominant Materials: Silane. Sci., 319(5869):1,506-1,509.

https://doi.org/10.1126/science.1153282

Gonczarek, R., and Mulak, M. (1999). Enhancement of critical temperature of superconductors implied by the local fluctuation of EDOS. Phys. Lett. A, 251:262-268.

https://doi.org/10.1016/S0375-9601(98)00905-0

Gross, F., Chandrasekhar, B.S., Einzel, D., Andres, K., Hirschfeld, P. J., Ott, H. R., Beuers, J., Fisk, Z., and Smith, J.L. (1986). Anomalous temperature dependence of the magnetic field penetration depth in superconducting UBe13. Z. Phys. B, 64:175-188.

https://doi.org/10.1007/BF01303700

Kim, H.T. (2021). Room-temperature-superconducting Tc driven by electron correlation. Sci. Rep., 11(1):10,329.

https://doi.org/10.1038/s41598-021-88937-7

Krzysosiak, M., Gonczarek, R., Gonczarek, A., and Jacak, L. (2018). Simple analytical model of the effect of high pressure on the critical temperature and other thermodynamic properties of superconductors. Sci. Rep., 8(1):7,709.

https://doi.org/10.1038/s41598-018-26029-9

Li, Y., Hao, J., Liu, H., Li, Y.J., and Ma, Y. (2014). The metallization and superconductivity of dense hydrogen sulfide. J. Chem. Phys., 140:174712.

https://doi.org/10.1063/1.4874158

London, F., London, H., and Lindemann, F.A. (1935). The electromagnetic equations of the supraconductor. Proc. R. Soc. A: Math. Phys. Eng. Sci., 149(866):71-88.

https://doi.org/10.1098/rspa.1935.0048

Prozorov, R. and Giannetta, R.W. (2006). Magnetic penetration depth in unconventional superconductors. Supercond. Sci. Technol., 19(8):R41-R67.

https://doi.org/10.1088/0953-2048/19/8/R01

Ruangrungrote, S., Chanpoom, T., Thaninworapak, R., and Udomsamuthirun, P. (2023). Investigation of the gap-to-T c ratio of LaH 1 0 and LaD 1 0 superconductors. Int. J. Mod. Phys. B., 2350230.

Tanlansev, E.F., Crump, W.P., Storey, J.G., and Tallon, J.L. (2017). London penetration depth and thermal fluctuations in the sulphur hydride 203 K superconductor. Ann. Phys., 529(3):1600390.

https://doi.org/10.1002/andp.201600390

Tanlansev, E.F. (2019). Classifying superconductivity in compressed H 3 S. Mod. Phys. Lett. B, 33(17), 1950195.

https://doi.org/10.1142/S0217984919501951

Wigner, E., and Huntington, H. B. (1935). On the Possibility of a Metallic Modification of Hydrogen. The J. Chem. Phys., 3(12):764-770.

https://doi.org/10.1063/1.1749590