Abstract
Peculiarities of the temperature isotope effect in a BCS-type theory describing the exchange and phonon mechanisms of Cooper pairing in a system of strongly correlated electrons are considered. The electron-phonon interaction constant is determined from the fitting of the calculated value of the isotope-effect index to the observed value with the parameters of La2 − x Sr x CuO4 obtained from ab initio calculations. The value of this constant indicates that the contribution from the traditional pairing mechanism to the superconducting state is of the same order of magnitude as the contribution from the magnetic mechanism.
Similar content being viewed by others
References
E. G. Maksimov and O. V. Dolgov, Usp. Fiz. Nauk 177(9), 983 (2007) [Phys.—Usp. 50 (9), 933 (2007)].
E. G. Maksimov, Usp. Fiz. Nauk 170(10), 1033 (2000) [Phys.—Usp. 43 (10), 965 (2000)].
P. W. Anderson, Science (Washington) 316, 1705 (2007).
L. Pintsehovious, Phys. Status Solidi B 242, 30 (2005); M. L. Kulic and O. V. Dolgov, Phys. Stat. Sol. B 242, 151 (2005).
N. Gedik, D.-S. Yang, G. Logvenov, I. Bozovic, and A. H. Zewail, Science (Washington) 316, 425 (2007).
M. K. Crawford, W. E. Farneth, E. M. McCarronn, R. L. Harlow, and A. H. Moudden, Science (Washington) 250, 1390 (1990).
J. P. Franck, S. Harker, and J. H. Brewer, Phys. Rev. Lett. 71, 283 (1993).
G. M. Zhao, K. Conder, H. Keller, and K. A. Müller, J. Phys.: Condens. Matter 10, 9055 (1998).
J. Bardeen, L. Cooper, and J. Schrieffer, Phys. Rev. 108, 1175 (1957).
Yu. A. Izyumov, M. I. Katsnel’son, and Yu. N. Skryabin, Magnetism of Itinerant Electrons (Nauka, Moscow, 1994) [in Russian].
N. M. Plakida, L. Anton, S. Adam, and G. Adam, Zh. Éksp. Teor. Fiz. 124(2), 367 (2003) [JETP 97 (2), 331 (2003)].
S. Pathak, V. B. Shenoy, M. Randeria, and N. Trivedi, Phys. Rev. Lett. 102, 027 002 (2009).
P. W. Anderson, Science (Washington) 235, 1196 (1987).
F. C. Zhang, C. Gros, T. M. Rice, and H. Shiba, Supercond. Sci. Technol. 1, 36 (1988).
P. W. Anderson, P. A. Lee, M. Randeria, T. M. Rice, N. Trivedi, and F. C. Zhang, J. Phys.: Condens. Matter 16, R755 (2004).
S. G. Ovchinnikov and I. S. Sandalov, Physica C (Amsterdam) 161, 607 (1989).
L. N. Bulaevskiĭ, E. L. Nagaev, and D. I. Khomskiĭ, Zh. Éksp. Teor. Fiz. 54(5), 1562 (1968) [Sov. Phys. JETP 27 (5), 836 (1968)].
K. A. Chao, J. Spalek, and A. M. Oles, J. Phys. C: Solid State Phys. 10, L271 (1977).
V. V. Val’kov, T. A. Val’kova, D. M. Dzebisashvili, and S. G. Ovchinnikov, Pis’ma Zh. Éksp. Teor. Fiz. 75(8), 450 (2002) [JETP Lett. 75 (8), 378 (2002)].
P. Prelovšek and A. Ramšak, Phys. Rev. B: Condens. Matter 72, 012510 (2005).
T. A. Maier, D. Poilblanc, and D. J. Scalapino, Phys. Rev. Lett. 100, 237001 (2008).
T. Dahm, V. Hinkov, S. V. Borisenko, A. A. Kordyuk, V. B. Zabolotnyy, J. Fink, B. Buchner, D. J. Scalapino, W. Hanke, and B. Keimer, Nat. Phys. 5, 217 (2009).
S. G. Ovchinnikov and E. I. Shneĭder, Zh. Éksp. Teor. Fiz. 128(5), 974 (2005) [JETP 101 (5), 844 (2005)].
S. V. Tyablikov, Methods in the Quantum Theory of Magnetism (Plenum, New York, 1967; Nauka, Moscow, 1975).
E. I. Shneyder and S. G. Ovchinnikov, Pis’ma Zh. Éksp. Teor. Fiz. 83(9), 462 (2006) [JETP Lett. 83 (9), 394 (2006)].
N. M. Plakida, V. Yu. Yushankhai, and I. V. Stasyuk, Physica C (Amsterdam) 160, 80 (1989).
F. Giustino, M. L. Cohen, and S. G. Louie, Nature (London) 452, 975 (2008).
N. Bulut and D. J. Scalapino, Phys. Rev. B: Condens. Matter 54, 14 971 (1996).
T. Dahm, D. Manske, D. Fay, and L. Tewordt, Phys. Rev. B: Condens. Matter 54, 12006 (1996).
P. Piekarz, J. Konior, and J. H. Jefferson, Phys. Rev. B: Condens. Matter 59, 14697 (1999).
C. Honerkamp, Henry C. Fu, and Dung-Hai Lee, Phys. Rev. B: Condens. Matter 75, 014503 (2007).
R. Khasanov, A. Shengelaya, E. Morenzoni, M. Angst, K. Conder, I. M. Savic, D. Lampakis, E. Liarokapis, A. Tatsi, and H. Keller, Phys. Rev. B: Condens. Matter 68, 220506(R) (2003).
A. R. Bishop, A. Bussmann-Holder, O. V. Dolgov, A. Furrer, H. Kamimura, H. Keller, R. Khasanov, R. K. Kremer, D. Manske, K. A. Muller, and A. Simon, J. Supercond. Novel Magn. 20, 393 (2007).
V. V. Val’kov and D. M. Dzebisashvili, Zh. Éksp. Teor. Fiz. 127(3), 686 (2005) [JETP 100 (3), 608 (2005)].
M. M. Korshunov, V. A. Gavrichkov, S. G. Ovchinnikov, I. A. Nekrasov, Z. V. Pchelkina, and V. I. Anisimov, Phys. Rev. B: Condens. Matter 72, 165 104 (2005).
A. F. Barabanov and V. M. Berezovskiĭ, Zh. Éksp. Teor. Fiz. 106(4), 1156 (1994) [JETP 79 (4), 627 (1994)].
M. M. Korshunov and S. G. Ovchinnikov, Eur. Phys. J. B 57, 271 (2007).
A. G. Sun, D. A. Gajewski, M. B. Maple, and R. C. Dynes, Phys. Rev. Lett. 72, 2267 (1994).
R. Kleiner, A. S. Katz, A. G. Sun, R. Summer, D. A. Gajewski, S. H. Han, S. I. Woods, E. Dantsker, B. Chen, K. Char, M. B. Maple, R. C. Dynes, and J. Clarke, Phys. Rev. Lett. 76, 2161 (1996).
Qiang Li, Y. N. Tsay, M. Suenaga, R. A. Klemm, G. D. Gu, and N. Koshizuka, Phys. Rev. Lett. 83, 4160 (1999).
R. A. Klemm, Philos. Mag. 85, 801 (2005).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E.I. Shneyder, S.G. Ovchinnikov, 2009, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 136, No. 6, pp. 1177–1182.
Rights and permissions
About this article
Cite this article
Shneyder, E.I., Ovchinnikov, S.G. Isotope effect in the model of strongly correlated electrons with the magnetic and phonon superconducting pairing mechanisms. J. Exp. Theor. Phys. 109, 1017–1021 (2009). https://doi.org/10.1134/S1063776109120139
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776109120139