Abstract
Dynamical spin susceptibility is calculated for the t–J model in the superconducting phase using the memory function method in terms of the Hubbard operators. The self-consistent system of equations for the memory function is obtained within the mode-coupling approximation. Both itinerant hole excitations and localized spin fluctuations contribute to the memory function. Moreover, the itinerant contribution itself consists of two parts, i.e., the contribution of Bogoliubov quasiparticles and that of Cooper pairs. The spin dynamics is diffusive in the hydrodynamic limit, but the itinerant part does not contribute to the spin diffusion. In the high frequency region, spin–wave-like excitations continue to exist. We discuss our analytic results in the light of neutron scattering experiments performed on the cuprate superconductors.
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REFERENCES
G. Jackeli and N. M. Plakida, Theor. Math. Phys., 114, 335 (1998).
A. D. Kampf, Phys. Rep., 249, 219 (1994).
T. Tanamoto, H. Konho, and H. Fukuyama, J. Phys. Soc. Japan, 63, 2379 (1994).
G. Stemman, C. Pepin, and M. Lavagna, Phys. Rev. B, 50, 4075 (1994).
P. Hedegard and M. B. Pedersen, Phys. Rev. B, 43, 11504 (1991); C. L. Kane, P. A. Lee, T. K. Ng, B. Chakraborty, and N. Read, Phys. Rev. B, 41, 2653 (1990); A. Auerbach and B. E. Larson, Phys. Rev. B, 43, 7800 (1991).
Yu. A. Izyumov and B. M. Letfulov, J. Phys.: Condens. Matter, 2, 8905 (1990); Yu. A. Izyumov and J. A. Hedersen, Internat. J. Mod. Phys. B, 8, 1877 (1994).
F. Onufrieva and J. Rossat-Mignod, Phys. Rev. B, 52, 7572 (1995).
V. G. Vaks, A. I. Larkin, and S. A. Pikin, JETP, 26, 647 (1968).
D. Forster, Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions, Benjamin, New York (1975).
P. Bourges, “From magnons to the resonance peak: spin dynamics in high-TC superconducting cuprates by inelastic neutron scattering,” in: The Gap Symmetry and Fluctuations in High Temperature Superconductors (NATO ASI Ser. Phys., Vol. 371, J. Bok, G. Deutscher, D. Pavuna, and S. A. Wolf, eds.), Plenum, New York (1998), p. 349; cond-mat/9901333 (1999); H. Yoshikawa and T. Moriya, J. Phys. Soc. Japan, 68, 1340 (1999); J. Rossat-Mignod, L. P. Regnault, C. Vettier, P. Bourges, P. Burlet, J. Bossy, J. Y. Henry, and G. Lapertot, Phys. C, 185-189, 86 (1991); H. A. Mook, M. Yethiraj, G. Aeppli, T. E. Mason, T. Armstrong, N. S. Berzigiarova, N. N.Kolesnikov, amd B. Keimer, Phys. Rev. Lett., 70, 3490 (1993); H He, P. Bourges, Y. Sidis, C. Ulrich, L. P. Regnault, and S. Pailhès, Science, 295, 1045( 2002).
S. W. Lovesey, Theory of Neutron Scattering from Condensed Matter, Clarendon, Oxford (1984).
D. N. Zubarev, Sov. Phys. Usp., 3, 320 (1960); Yu. A. Tserkovnikov, Theor. Math. Phys., 49, 712 (1981); 52, 147 (1982).
W. Götze and G. M. Vujicic, Phys. Rev. B, 38, 9398 (1988).
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Chaudhury, R. Dynamical Spin Susceptibility in the t–J Model in the Superconducting Phase. Theoretical and Mathematical Physics 136, 1022–1030 (2003). https://doi.org/10.1023/A:1024553723685
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DOI: https://doi.org/10.1023/A:1024553723685