Abstract
A bipolaronic model of high-T c superconductivity, that is based upon the idea that a doped oxygenhole reduces the separation between the\(d_{x^2 - y^2 }\) and\(d_{3z^2 - r^2 }\) levels of the neighbouring Cu-ion and hence causes a Jahn-Teller mixing between the two levels, is suggested. Within the BCS scheme, the bipolaron Hamiltonian is investigated for the superconducting order parameter Δ and the critical temperatureT c as a function of hole-doping. Under suitable approximation for the bipolaronic kinetic energy, the hole-doping dependence ofT c shows a universal behaviour. For temperatures close toT c and forT c ≫1, Δ obeys the BCS type of relation with pre-factor of (1−T/T c )2 related to the range of superconducting-phase against the doping axis.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bednorz, J.G., Müller, K.A.: Z. Phys. B64, 189 (1986)
Kamimura, H.: Jpn. J. Appl. Phys.26, L627 (1987)
Aoki, H., Kamimura, H.: Solid State Commun.63, 665 (1987)
Englman, R., Halperin, B., Weger, M.: Physica C169, 314 (1990)
Lee, B.S.: Physica C160, 141 (1989)
Xiong, Shi-Jie: J. Phys. C21, L459 (1988)
Georgiev, M., Borissov, B.: Phys. Rev. B39, 11624 (1989)
Yvon, K., François, Z.: Phys. B76, 413 (1989)
Bianconi, A.: Int. Conf. on Superconductivity 1990. Joshi, S.K., Rao, C.N.R., Subramanyam, S.V. (eds.) Singapore: World Scientific 1990
Bianconi, A., de Saintis, M., Di Cicco A., Flank, A.M., Fountaine, A., Lagarde, P., Katayama-Yoshida, H., Kotani, A., Marcelli, A.: Phys. Rev. B38, 7196 (1988)
Amery, V.J.: Phys. Rev. Lett.58, 2794 (1987)
Nucker, N., Romberg, H., Xi, X.X., Fink, J., Gegenheimer, B., Zhao, Z.: Phys. Rev. B39, 6619 (1989)
Rai, R.: Physica C60, 259 (1989); Bull. Mat. Sci.14, 1083 (1991)
Alexandrov, A.S., Ranninger, J.: Phys. Rev. B23, 1796 (1981);24, 1164 (1981)
Alexandrov, A.S., Ranninger, J., Bobaszkiewicz, S.: Phys. Rev. B34, 4526 (1986)
Alexandrov, A.S.: Phys. Rev. B38, 925 (1958); Physica C158, 337 (1989)
Rice, T.M., Zhang, F.C.: Phys. Rev. B39, 815 (1989)
Englman, R.: The Jahn-Teller effect in molecules and crystals. Chichester: Wiley 1972
Rai, R., Savard, J.Y., Tousignant, B.: Phys. Lett. A25, 443 (1967); Can. J. Phys.47, 1147 (1969)
Rai, R.: Phys. Status Solidi52, 671 (1972)
Shafer, M.W., Penney, T., Olsen, B.L., Greene, R.L., Koch, R.H.: Phys. Rev. B39, 2914 (1989)
Torrance, J.B., Toukura, Y., Nazzal, A.I., Bezinge, A., Huang, T.C., Parkin, S.S.P.: Phys. Rev. Lett.61, 1127 (1988)
Opik, U., Pryce, M.H.L.: Proc. R. Soc. London Ser. A238, 425 (1957)
Stevens, K.W.H.: Rep. Prog. Phys.30, 189 (1967)
Gehring, G.A., Gehring, K.A.: Rep. Prog. Phys.38, 1 (1975)
Holstein, T.: Ann. Phys. (NY)8, 325 (1959)
Lang, I.G., Firsov, Yu.A.: Sov. Phys.-JETP16, 1301 (1963)
Cross, C., Joyant, R., Rice, T.M.: Phys. Rev. B36, 381 (1987)
Hirsch, J.E., Marsiglio, F.: Phys. Rev. B39, 11515 (1989)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Thakur, J.S., Rai, R. Dependence ofT c on doping in oxygen-hole induced Jahn-Teller mediated superconductors. Z. Physik B - Condensed Matter 91, 285–290 (1993). https://doi.org/10.1007/BF01344057
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01344057