Abstract
We present a model for the superconductivity in CuO2 planar systems based on the magnetic frustration mechanism introduced recently by Aharony et al.; our model incorporates explicitly the concentration dependence of the Cu++ spin-spin correlation function. We argue that the transport is via holes in the non-bonding in-plane oxygen orbitals. These two features lead tod-state pairing with, in the BCS approximation, a predictedT c vsx dependence which agrees well experiments on La2−xSrxCuO4.
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Vaknin, D., et al.: Phys. Rev. Lett.58, 2802 (1987)
Shirane, G., et al.: Phys. Rev. Lett.59, 1613 (1987); Tranquada, J., et al.: Phys. Rev. Lett.60, 156 (1988); Endoh, Y., et al.: Phys. Rev. B (in press)
Birgeneau, R.J., et al.: (inpublished)
Uemura, Y.J., et al.: Phys. Rev. Lett.59, 1045 (1987); Nishida, N., et al.: Jpn. J. Appl. Phys. Pt. 2,26, L1856 (1987)
See for example, Tineke Thio et al.: Phys. Rev. B (in press)
Amnon Aharony, Birgeneau, R.J., Coniglio, A., Kastner, M.A., Stanley, H.E.: Phys. Rev. Lett60, 1330 (1988)
Ammon Aharony, Birgeneau, R.J., coniglio, A., Kastner, M.A., Stanley, H.E.: Physica B (in press)
Kitaoka, Y., Ishida, K., Kobayashi, T., Amaya, K., Asayama, K.: Physica B (in press)
Budnick, J.I., et al.: (inpublished)
Harshman, D.W., et al.: (unpublished)
Tranquada J.M. et al.: Phys. Rev. B36, 5263 (1987); Shen, Z.-X.: Phys. Rev. B36, 8414 (1987); Nucker, N., et al.: (unpublished). These references show that the holes reside on the oxygens but they do not differentiate between the anti-bonding and nonbondingp-orbitals
Bardeen, J., Cooper, L.N., Schrieffer, J.R.: Phys. Rev.108, 1175 (1957)
Shafer, M.W., Penney, T., Olsn, B.L.: Phys. Rev. B36, 4047 (1987)
Ong, N.P., Wang, Z.Z., Clayhold, J., Tarascon, J.M., Greene, L.H., McKinnon, W.R.: Phys. Rev. B35, 8807 (1987)
Emery, V.I.: Phys. Rev. Lett.58, 2794 (1987); In more recent work, this author has also considered near neighbor hole configurations as in [7] but from the point of view of the Hubbard model
Gros, C., Joynt, R., Rice, T.M.: Z. Phys. B-Condensed matter68, 425 (1987)
Hirsh, J.E.: Phys. Rev. Lett.59, 228 (1987)
Kivelson, S.A., Rokhsar, D.S., Sethna, J.P.: Phys. rev. B35, 8865 (1987)
Anderson, P.W.: Science235, 1196 (1987); Anderson, P.W., Baskaran, G., Zou, Z., Hsu, T.: Phys. Rev. Lett.58, 2790 (1987)
Inui, M., Doniach, S., Hirschfield, P.J., Ruckenstein, A.E.: Phys. Rev. B37, 2320 (1988)
Schrieffer, J.R., Wen, X.-G., Zhang, S.-C.: Phys. Rev. Lett.60, 944 (1988). This paper presents a magnetic pairing mechanism analogous to ours but in the spin density wave limit; it would be interesting to see if one could go continuously from our ionic limit to the itinerant model used in the Schrieffer et al.approach
Mattheiss, L.F.: Phys. Rev. Lett.58, 1028 (1987)
Guo, Y., Langlois, J.-M., Goddard, III, W.A.: Science239, 896 (1988)
See for example Ramirez, A.P., Batlogg, B., Aeppli, G., Cava, R.J., Rietman, E., Goldman, A., Shirane, G.: Phys. Rev. B35, 8833 (1987)
Greene, R.L., Maletta, H., Plaskett, T.S., Bednorz, J.G., Muller, K.A.: Solid State Commun.63, 379 (1987); Jacobson, A.J., et al.: in: Chemistry of Oxide Superconductors. IUPAC/Blackwell, Oxford: Ed. CNR Rao
Shirane, G.: Private communication
Chen, G., Goddard III, W.A.: Science239, 899 (1988); these authors use a local picture very similar to ours; however, using a model based on the virtual exchange of antiferromagnetic magnons they conclude that tripletp-state superconductivity will occur; because of the very short real space correlation length we believe that our picture which leads tod-state spairing is more realistic
Bedell, K.S., Pines, D.: Phys. Rev. B:37, 3730 (1988). These authors, using a 3-d Fermi liquid approach with spin fluctuations, conclude thatp-state pairing is most likely
Lyons, K.B., Fleury, P.A., Remeika, J.P., Cooper, A.S., Negran, T.J.: Phys. Rev. B37, 2393 (1988)
Cooper, J.R., Chu, C.T., Zhou, W., Dunn, B., Gruner, G.: Phys. Rev. B37, 638 (1988); these authors explicitly disagree with an earlier report by Harshman, D.R., et al.: Phys. Rev. B36, 2386 (1987) which implieds-wave superconductivity
Horn, P.M., Keane, D.T., Heald, G.A., Jordan-Sweet, J.L., Kaiser, D.L., Holtzberg, F., Rice, T.M.: Phys. Rev. Lett.59, 2772 (1987)
Kitzoka, Y., Hiramatsu, S., Kohori, Y., Ishida, K., Kondo, T., Shibai, H., Asayama, K., Takagi, H., Uchida, S., Iwabuchi, H., Tanaka, S.: Physica B (in press)
Amnon Aharony, Kastner, M.A., Birgeneau, R.J.: (unpublished)
Kapitulnik, A., Beasley, M.R., Castellani, C., Di Castro, C.: Phys. Rev. B37, 537 (1988)
Torrance, J.B.: (Private communication)
Birgeneau, R.J., Shapira, Y., Shirane, G., Cowley, R.A., Yoshizawa, H.: Physica137 B, 83 (1986)
Wu, M.K., et al.: Phys. Rev. Lett.58, 908 (1987)
Maeda, H., Tanaka, Y., Fukutomi, M., Asano, T.: Jpn. J. Appl. Phys. Lett. (in press); Hazen, R.M., et al.: (unpublished)
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Birgeneau, R.J., Kastner, M.A. & Aharony, A. Magnetic frustration model for superconductivity in planar CuO2 systems. Z. Physik B - Condensed Matter 71, 57–62 (1988). https://doi.org/10.1007/BF01310844
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DOI: https://doi.org/10.1007/BF01310844