Oxygen Isotope Effects on Tc Related to Polaronic Superconductivity in Underdoped Cuprates


The planar oxygen isotope effect on Tc observed in copper oxide superconductors is remarkable in that it increases from near nil at optimal doping to a value twice that derived from BCS theory in the underdoped region. This behavior is quantitatively followed by a formula proposed by Kresin and Wolf in 1994 for polarons along the c-axis. Herein it is revisited in a more transparent way, and it is pointed out that the heterogeneity of pairing is relevant and has to be taken into account to explain the unusual planar isotope effects on Tc in underdoped cuprates.

Share and Cite:

Kochelaev, B. , Müller, K. and Shengelaya, A. (2014) Oxygen Isotope Effects on Tc Related to Polaronic Superconductivity in Underdoped Cuprates. Journal of Modern Physics, 5, 473-476. doi: 10.4236/jmp.2014.56057.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Tinkham, M. (1975) Introduction to Superconductivity. Mc Graw Hill Inc., New York.
[2] Battlogg, B., Cava, R.J., Jayaraman, A., van Dover, R.B., Kourouklis, G.A., Sunshine, S., Murphy, D.W., Rupp, L.W., Chen, H.S., White, A., Short, K.T., Mujsce, A.M. and Rietman, E.A. (1987) Physical Review Letters, 58, 2333-2336.
[3] Schrieffer, J. R. and Brooks J.S. (2007) Handbook of High-Temperature Superconductivity. Springer Science + Business Media, LLC, New York.
[4] Franck, J.P., Jung, J., Mohamed, M.A.-K., Gygax, S. and Sproule, G.I. (1991) Physical Review B, 44, 5318-5321.
[5] Khasanov, R., Shengelaya, A., Morenzoni, E., Conder, K., Savic, I.M. and Keller, H. (2004) Journal of Physics: Condensing Material, 16, S4439-S4455. http://dx.doi.org/10.1088/0953-8984/16/40/003
[6] Bussmann-Holder, A. and Keller, H. (2005) European Physical Journal B, 44, 487-490.
[7] Bednorz, J.G. and Muller, K.A. (1986) Zeitschrift fur Physik B Condensed Matter, 64, 189-193.
[8] Keller, H., Bussmann-Holder, A. and Muller, K.A. (2008) Materials Today, 11, 38-46.
[9] Weyeneth, S. and Muller, K.A. (2011) Journal of Superconductivity and Novel Magnetism, 24, 1235-1239.
[10] Kresin, V.Z. and Wolf, S.A. (1994) Physical Review B, 49, 3652-3654. http://dx.doi.org/10.1103/PhysRevB.49.3652
[11] Zech, D., Keller, H., Conder, K., Kaldis, E., Liarokapis, E., Poulakis, N. and Muller, K.A. (1994) Nature (London), 371, 681-683. http://dx.doi.org/10.1038/371681a0
[12] Kresin, V. (2010) Journal of Superconductivity and Novel Magnetism, 23, 179-182.
[13] Shengelaya, A., Bruun, M., Kochelaev, B.I., Safina, A., Conder, K. and Muller, K.A. (2004) Physical Review Letters, 93, 017001. http://dx.doi.org/10.1103/PhysRevLett.93.017001
[14] Mihailovic, D., Kabanov, V.V. and Muller, K.A. (2002) Europhysical Letters, 57, 254-259.

Copyright © 2021 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.