Abstract
Effects of pressure and isotope exponent of superconductor on critical temperature were investigated within the weak-coupling limit. The dispersion relation of carriers in the superconducting state under high pressure was obtained, including the electron–phonon interaction and Coulomb potentials. The equations of the critical temperature and isotope effect were analytically derived and numerically calculated. The enhancement of the critical temperature depended on the external pressure upon the unit cell, resulting in the narrow fluctuation in density of state. It was noticed that the more the fluctuation height increased, the higher the critical temperature was performed. The range of the isotope effect exponent (\(\alpha\)) was \(0 < \alpha < 0.5\) in the normal behaviour, while \(\alpha > 0.5\) in the anomalous behaviour. Also, a negative isotope effect exponent was found in this work.
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G.I. González-Pedreros, R. Baquero, Superconducting critical temperature under pressure. Physica C Supercond. Appl. 548, 132–137 (2018)
A.P. Drozdov, M.I. Eremets, I.A. Troyan, V. Ksenofontov, S.I. Shylin, Conventional superconductivity at 203 Kelvin at high pressures in the sulfur hydride system. Nature 525(7567), 73–76 (2015)
Y. Iye, Recent transport studies of high temperature superconductivity at ISSP. Chin. J. Phys. 30, 229–240 (1992)
C.W. Chu, J. Bechtold, L. Gao, P.H. Hor, Z.J. Huang, R.L. Meng, Y.Y. Xue, Superconductivity up to 114 K in the Bi-Al-Ca-Sr-Cu-O compound system without rare-earth elements. Phys. Rev. Lett. 60(10), 941 (1988)
A. Schilling, M. Cantoni, J.D. Guo, H.R. Ott, Superconductivity above 130 K in the hg–ba–ca–cu–o system. Nature 363(6424), 56–58 (1993)
L. Gao, Z.J. Huang, R.L. Meng, J.G. Lin, F. Chen, L. Beauvais, C.W. Chu, Study of superconductivity in the Hg-Ba-Ca-Cu-O system. Physica C 213(3–4), 261–265 (1993)
H. Takahashi, A. Tokiwa-Yamamoto, N. Mori, S. Adachi, H. Yamauchi, S. Tanaka, Large enhancement of Tc in the 134 K superconductor HgBa2Ca2Cu3Oy under high pressure. Physica C 218(1–2), 1–4 (1993)
C.W. Chu, L. Gao, F. Chen, Z.J. Huang, R.L. Meng, Y.Y. Xue, Superconductivity above 150 K in HgBa2Ca2Cu3O8+ δ at high pressures. Nature 365(6444), 323–325 (1993)
M. Nunez-Regueiro, J.L. Tholence, E.V. Antipov, J.J. Capponi, M. Marezio, Pressure-induced enhancement of Tc above 150 K in Hg-1223. Science 262(5130), 97–99 (1993)
L. Gao, Y.Y. Xue, F. Chen, Q. Xiong, R.L. Meng, D. Ramirez, H.K. Mao, Superconductivity up to 164 K in HgBa2Ca m− 1 Cu m O 2 m+ 2+ δ (m= 1, 2, and 3) under quasihydrostatic pressures. Phys. Rev. B 50(6), 4260 (1994)
N. Suresh, J.G. Storey, G.V.M. Williams, J.L. Tallon, Pressure dependence of the oxygen isotope effect in the superconductor YBa2Cu4O8. Phys. Rev. B 78(10), 100503 (2008)
K. Jasiewicz, B. Wiendlocha, K. Górnicka, K. Gofryk, M. Gazda, T. Klimczuk, J. Tobola, Pressure effects on the electronic structure and superconductivity of (TaNb) 0.67 (HfZrTi) 0.33 high entropy alloy. Phys Rev B 100(18), 184503 (2019)
D.R. Harshman, A.T. Fiory, Compressed H3S: inter-sublattice Coulomb coupling in a high-T c superconductor. J. Phys.: Condens. Matter 29(44), 445702 (2017)
A.P. Durajski, R. Szczȩśniak, L. Pietronero, High-temperature study of superconducting hydrogen and deuterium sulfide. Ann. Phys. 528(5), 358–364 (2016)
R. Szczęśniak, A.P. Durajski, Unusual sulfur isotope effect and extremely high critical temperature in H3S superconductor. Sci. Rep. 8(1), 1–9 (2018)
A.P. Drozdov, P.P. Kong, V.S. Minkov, S.P. Besedin, M.A. Kuzovnikov, S. Mozaffari, M.I. Eremets, Superconductivity at 250 K in lanthanum hydride under high pressures. Nature 569(7757), 528–531 (2019)
A.M. Schaeffer, S.R. Temple, J.K. Bishop, S. Deemyad, High-pressure superconducting phase diagram of 6Li: isotope effects in dense lithium. Proc. Natl. Acad. Sci. 112(1), 60–64 (2015)
C.M.I. Okoye, Isotope shift exponent in two-band high-Tc superconductors with linear-energy-dependent electronic density of states. Physica C 313(3–4), 197–204 (1999)
P. Udomsamuthirun, C. Kumvongsa, A. Burakorn, P. Changkanarth, S. Yoksan, Effect of density of state on isotope effect exponent of two-band superconductors. Physica C 425(3–4), 149–154 (2005)
M. Krzyzosiak, R. Gonczarek, A. Gonczarek, L. Jacak, Simple analytical model of the effect of high pressure on the critical temperature and other thermodynamic properties of superconductors. Sci. Rep. 8(1), 1–16 (2018)
R. Gonczarek, M. Mulak, Enhancement of critical temperature of superconductors implied by the local fluctuation of EDOS. Phys. Lett. A 251(4), 262–268 (1999)
W.L. McMillan, Transition temperature of strong-coupled superconductors. Phys. Rev. 167(2), 331 (1968)
P.B. Allen, R.C. Dynes, Transition temperature of strong-coupled superconductors reanalyzed. Phys. Rev. B 12(3), 905 (1975)
J.J. Hamlin, Superconductivity in the metallic elements at high pressures. Physica C Supercond. Appl. 514, 59–76 (2015)
Schilling, J. S. (2007). High-pressure effects. in Handbook of high-temperature superconductivity. Springer, New York, NY pp. 427–462.
M. Mito, H. Matsui, K. Tsuruta, T. Yamaguchi, K. Nakamura, H. Deguchi, Z. Horita, Large enhancement of superconducting transition temperature in single-element superconducting rhenium by shear strain. Sci. Rep. 6(1), 1–8 (2016)
T. Chanpoom, The dependence of the critical temperature on pressure. Int. J. Mod. Phys. B 34(29), 2050276 (2020)
H.T. Kim, Room-temperature-superconducting Tc driven by electron correlation. Sci Rep 11, 10329 (2021). https://doi.org/10.1038/s41598-021-88937-7
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Chanpoom, T., Ruangrungrote, S. & Udomsamuthirun, P. The Investigation of an Anomalous Isotope Exponent of Superconductors Under High Pressure in Weak-Coupling Limit. J Low Temp Phys 207, 264–277 (2022). https://doi.org/10.1007/s10909-022-02736-6
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DOI: https://doi.org/10.1007/s10909-022-02736-6