Abstract
The results of theoretical studies on the spin excitations of the extended t-J model treated in the slave-boson mean field theory are briefly summarized and compared with the experimental results of neutron scattering and nuclear magnetic resonance both for LSCO and YBCO. It is found that there exists reasonable overall agreement betweern experiments and the theory, which predicts the dx2−y2 superconductivity. The remaining unresolved questions are identified and the possible resolutions for some of these are proposed.
Similar content being viewed by others
References
For various papers reported atM 2S-HTSC III (Kanazawa, 1991) seePhysica C 185–189, (1991).
The Los Alamos Symposium — 1989 High Temperature Superconductivity, eds. K.S. Bedell, D. CofTey, D.E. Meltzer, D. Pines and J.R. Schrieffer (Addison-Wesley, 1990).
Strong Correlation and Superconductivity, eds. H. Fukuyama, S. Maekawa and A.P. Malozemoff (Springer-Verlag, 1989).
The Physics and Chemistry of Oxide Superconductors, eds. Y. lye and H. Yasuoka (Springer Verlag, 1992).
R.J. Birgeneau, Y. Endoh, K. Kakurai, Y. Hidaka, T. Murakami, M.A. Kastner, T.R. Thurston, G. Shirane and K. Yamada,:Phys. Rev. B 39, 2868 (1989).
T.R. Thurston, R.J. Birgeneau, M.A. Kastner, N.W. Preyer, G. Shirane, Y. Fujii, K. Yamada, Y. Endoh, K. Kakurai, M. Matsuda, Y. Hidaka and T. Murakami:Phys. Rev. B 40, 4585 (1989).
G. Shirane, R.J. Birgeneau, Y. Endoh, P. Gehring, M.A. Kastner, K. Kitazawa, H. Kojima, I. Tanaka, T.R. Thurston and K. Yamada,Phys. Rev. Lett. 63, 330 (1989).
S.W. Cheong, G. Aeppli, T.E. Mason, H. Mook, S.M. Hayden, P.C. Canfield, Z. Fisk, K.M. Clausen and J.L. Martinez,Phys. Rev. Lett. 67, 1791 (1991).
T.R. Thurston, P.M. Gehring, G. Shirane, R.J. Birgeneau, M.A. Kastner, Y. Endoh, M. Matsuda, K. Yamada, H. Kojima and I. Tanaka,Phys. Rev. B 46, 9128 (1992).
M. Matsuda, K. Yamada, Y. Endoh, T.R. Thurston, G. Shirane, R.J. Birgeneau, M.A. Kastner, I. Tanaka and H. Kojima, preprint.
T.E. Mason, G. Aeppli, S.M. Hayden, A.P. Ramirez and H.A. Mook,Phys. Rev. Lett. 71, 919 (1993).
J. Rossat-Mignod, L.P. Regnault, C. Vettier, P. Bourges, P. Burlet, J. Bossy, J.Y. Henry and G. Lapertot, ref.1, For various papers reported atM 2S—HTSC III (Kanazawa, 1991) see p.86.
J.M. Tranquada, P.M. Gehring, G. Shirane, S. Shamoto and M. Sato,Phys. Rev. B 46, 5561 (1992).
M. Sato, S. Shamoto, T. Kiyokura, K. Kakurai, G. Shirane, B.J. Sternlieb and J.M. Tranquada,J. Phys. Soc. Jpn. 62, 263 (1993).
H.A. Mook, M. Yethiraj, G. Aeppli, T.E. Mason and T. Armstrong,Phys. Rev. Lett. 70, 3490 (1993).
H. Yasuoka, T. Imai and T. Shimizu, ref.3, p.254; H. Yasuoka, S. Kambe, Y. Itoh and T. Machi, to appear inPhysica B (1994).
R.E. Walstedt, W.W. Warren, Jr., R.F. Bell, R.J. Cava, G.P. Espinosa, L.F. Schneemeyer and J.V. Waszczak,Phys. Rev. B 41, 9574 (1990).
M. Takigawa, A.P. Rayers, P.C. Hammel, J.D. Thomson, R.H. Heffner, Z. Fisk and K.C. Ott,Phys. Rev. B 43, 247 (1991).
H. Alloul, P. Mendels, H. Casalta, J.F. Marucco and J. Arabski,Phys. Rev. Lett. 67, 3140 (1991).
M. Takigawa, P.C. Hammel, R.H. Heffher and Z. Fisk,Phys. Rev. B 39, 7371 (1989).
Y. Kitaoka, K. Fujiwara, K. Ishida, K. Asayama, Y. Shimakawa, T. Manako and Y. Kubo,Physica C 179, 107 (1991).
S. Kambe, Y. Yoshinari, H. Yasuoka, A. Hayashi and Y. Ueda, ref.4, p361.
R.E. Walstedt, R.F. Bell and D.B. Mitzi,Phys. Rev.B 44, 7760 (1991).
Y. Yoshinari, H. Yasuoka and Y. Ueda,J. Phys. Soc. Jpn. 61, 770 (1992).
M. Horvatić, T. Auler, C. Berthier, Y. Berthier, P. Butaud, W.G. Clark, J.A. Gillet, P. Ségransan and J.Y. Henry,Phys. Rev. B 47, 3461 (1993).
T. Imai, C.P. Slichter, K. Yoshimura and K. Kosuge,Phys. Rev. Lett. 70, 1002 (1993).
C.H. Pennington and C.P. Slichter,Phys. Rev. Lett. 66, 381 (1991).
Y. Itoh, H. Yasuoka, Y. Fujiwara, Y. Ueda, T. Machi, I. Tomeno, K. Tai, N. Koshizuka and S. Tanaka,J. Phys. Soc. Jpn. 61, 1287 (1992).
M. Takigawa, preprint.
T.M. Rice, ref.4, p.313.
H. Fukuyama,Prog. Theor. Phys. Suppl. 108, 287 (1992), also inPhysics in (2+1)-Dimension, ed. Y.M. Cho (World Scientific, 1992), p.234.
P.W. Anderson,Science 235, 1196 (1987).
F.C. Zhang and T.M. Rice,Phys. Rev. B 37, 3759 (1988).
L.H. Tjeng, H. Eskes and G.A. Sawatzky, ref.3, p.33.
H. Matsukawa and H. Fukuyama,J. Phys. Soc. Jpn. 58, 3687 (1989).
H. Matsukawa and H. Fukuyama,J. Phys. Soc. Jpn. 59, 1723 (1990).
G. Dopf, A. Muramatsu and W. Hanke, ref.1, For various papers reported atM 2S—HTSC III (Kanazawa, 1991) see p.1495, J. Wagner, W. Hanke and D.J. Scalapino, ref.1, p.1617.
T. Tohyama and S. Maekawa, ref.1, For various papers reported atM 2S—HTSC III (Kanazawa, 1991) see, p.1575.
M.S. Hybertsen, E.B. Stechel, M. Schluter and D.R. Jennison,Phys. Rev. B 41, 11068 (1990).
G. Baskaran, Z. Zou and P.W. Anderson,Solid State Commun. 63, 973 (1987).
Y. Suzumura, Y. Hasegawa and H. Fukuyama,J. Phys. Soc. Jpn. 57, 401, 2678 (1988);Physica C 153-155, 1630 (1988).
G. Kotliar and J. Liu,Phys. Rev. B 38, 5142 (1988).
I. Affleck, Z. Zou, T. Hsu and P.W. Anderson,Phys. Rev. B 38, 745 (1988) 745.
N. Nagaosa and P.A. Lee,Phys. Rev. Lett. 64 (1990) 2450,Phys. Rev. B 45, 966 (1992).
L.B. Ioffe and A.I. Larkin,Phys. Rev. Lett. 39, 8988 (1989).
T. Tanamoto, K. Kuboki and H. Fukuyama,J. Phys. Soc. Jpn. 60, 3072 (1991).
T. Tanamoto, K. Kohno and H. Fukuyama,J. Phys. Soc. Jpn. 61, 1886 (1992).
T. Tanamoto, H. Kohno and H. Fukuyama,J. Phys. Soc. Jpn. 62, 717 (1993).
H. Kohno, T. Tanamoto and H. Fukuyama, submitted toJ. Phys. Soc. Jpn.
F.C. Zhang, C. Gros, T.M. Rice and H. Shiba,Supercond. Sci. Technol. 1, 36 (1988).
J.W. Loram, K.A. Mirza, J.R. Cooper and W.Y. Liang,Phys. Rev. Lett. 71, 1740 (1993).
M. Sato, private communications.
A similar discussions to the differcnce between LSCO and Tl2Ba2CuO6−x has been given by M.J. Lercher and J.W. Wheatley[Physica C 215, 145 (1993)].
H. Matsukawa and H. Fukuyama,J. Phys. Soc. Jpn. 61, 1882 (1992).
Q. Si et al.[Phys. Rev. B 47, 9055 (1993)] proposed a similar argument to correlate the difference of IC and C peaks as due to that of the Fermi surface. Their model, however, is very different from ours,i.e. the slave boson to thed-p model, where the Cu and O orbitals are treated distinctively.
H. Won and K. Maki, preprint.
N. Bulut and D.J. Scalapino, preprint.
M. Lavagna, G. Stemmann and C. Pépin, reported atLT20 (Eugene, 1993).
M.J. Lerchner and J.W. Wheatly, preprint.
There are several numerical studies on the of the temperature dependence uniform susceptibility in thet-J; e.g. W.O. Puttika et al.[Phys. Rev. Lett. 68, 583 (1992)] and P.R.P. Singh et al.Phys. Rev. B 46, 14313 (1992),47, 8298 (1993)].
M. Imada,J. Phys. Soc. Jpn. 61, 423 (1992).
A.J. Millis and H. Monien,Phys. Rev. Lett. 70, 2810 (1993).
M. Sigrist, T.M. Rice and F.C. Zhang, preprint.
G.-q Zheng, T. Odagaki, T. Mito, Y. Kitaoka, K. Asayama and Y. Kodama,J. Phys. Soc. Jpn. 62, 2591 (1993).
K. Kakurai, S. Shamoto, T. Kiyokura, M. Sato, J.M. Tranquada and G. Shirane,Phys. Rev. B 48, 3485 (1993).
A.P. Litvinchuk, C. Thomsen and M. Cardona,Solid State Commun. 83, 343 (1992).
B. Bucher, P. Steiner, J. Karpinski, E. Kaldis and P. Wachter,Phys. Rev. Lett. 70, 3012 (1993).
T. Ito, K. Takenaka and S. Uchida,Phys. Rev. Lett. 70, 3995 (1993).
M. Randeria, J.M. Duan and L.Y. Shieh,Phys. Rev. Lett. 62, 981 (1989).
H. Fukuyama, Y. Hasegawa and O. Narikiyo,J. Phys. Soc. Jpn. 60, 2013 (1991).
O. Narikiyo, Ph.D. Thesis (Univ. of Tokyo, 1992).
P.W. Anderson,Phys. Rev. Lett. 71, 1220 (1993).
W.O. Putikka, R.L. Glenister, R.R.P. Singh and H. Tsunetsugu, preprint.
Y.C. Chen and T.K. Lee, preprint.
W.O. Puttika, M.U. Luchini and T.M. Rice,Phys. Rev. Lett. 68, 538 (1992); W.O. Puttika, M.U. Luchini and M. Ogata,Phys. Rev. Lett. 69, 2288 (1992).
T.C. Dagotto and J. Riera,Phys. Rev. Lett. 70, 682 (1993).
S. Maekawa, private communications.
M. Ogata, M. Luchini, S. Sorella and F. Assaad,Phys. Rev. Lett. 66, 2388 (1991).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Fukuyama, H., Kohno, H. & Tanamoto, T. Spin excitations in high Tc cuprates. J Low Temp Phys 95, 309–321 (1994). https://doi.org/10.1007/BF00754946
Issue Date:
DOI: https://doi.org/10.1007/BF00754946