Abstract
Experimental data on the spin susceptibility of HTSC cuprates are reproduced on the basis of a spherically symmetric approach in the frustrated Heisenberg model. The inclusion of real and imaginary renormalizations in spin Green’s functions makes it possible to explain the evolution of spin excitation spectrum ω(q) and susceptibility spectrum χ(q, ω) in the range from insulator to optimal doping. In the low-frustration limit corresponding to the weakly doped mode, the saddle singularity of ω(q) and scaling of χ2D(ω) =∫d q Im χ(q, ω) are reproduced and an analytic expression is derived for the scaling function. In the strong frustration (optimal doping) mode, the stripe scenario is demonstrated; this leads to a peak of χ2D (ω) in the region of ω∼60 meV.
Similar content being viewed by others
References
M. A. Kastner, R. J. Birgeneau, G. Shirane, et al., Rev. Mod. Phys. 70, 897 (1998).
P. Bourges, in The Gap Symmetry and Fluctuationsin High Temperature Superconductors, Ed. by J. Bok, G. Deutscher, D. Pavuna, and S. A. Wolf (Plenum, New York, 1998), p. 349.
T. E. Mason, in Handbook on the Physics and Chemistry of Rare Earths: High-Temperature Superconductors-II, Ed. by J. K. A. Gschneidner, L. Eyring, and M. B. Maple (Elsevier, Amsterdam, 2001), Vol. 31, p. 281.
J. M. Tranquada, in Handbook on High-Temperature Superconductivity. Theory and Experiment, Ed. by J. R. Schrieffer (Springer, Berlin, 2007) (in press); condmat/0512115.
R. J. Birgeneau, C. Stock, J. M. Tranquada, et al., J. Phys. Soc. Jpn. 75, 111 003 (2006).
J. Lorenzana, G. Seibold, and R. Coldea, Phys. Rev. B 72, 224511 (2005).
S. M. Hayden, G. Aeppli, H. A. Mook, et al., Phys. Rev. Lett. 76, 1344 (1996).
S. M. Hayden, G. Aeppli, T. G. Perring, et al., Phys. Rev. B 54, R6905 (1996).
B. Keimer, R. J. Birgeneau, A. Cassanho, et al., Phys. Rev. Lett. 67, 1930 (1991); B. Keimer, N. Belk, R. J. Birgeneau, et al., Phys. Rev. B 46, 14 034 (1992).
K. Kakurai, S. Shamoto, T. Kiyokura, et al., Phys. Rev. B 48, 3485 (1993).
H. Hiraka, Y. Endoh, M. Fujita, et al., J. Phys. Soc. Jpn. 70, 8553 (2001).
C. Stock, W. J. L. Buyers, R. Liang, et al., Phys. Rev. B 69, 014502 (2004).
R. Coldea, S. M. Hayden, G. Aeppli, et al., Phys. Rev. Lett. 86, 5377 (2001).
H. F. Fong, P. Bourges, Y. Sidis, et al., Phys. Rev. B 61, 14773 (2000).
N. B. Christensen, D. F. McMorrow, H. M. Rønnow, et al., Phys. Rev. Lett. 93, 147002 (2004).
J. M. Tranquada, H. Woo, T. G. Perring, et al., Nature 429, 534 (2004).
C. Stock, W. J. L. Buyers, R. A. Cowley, et al., Phys. Rev. B 71, 024522 (2005).
S. M. Hayden, H. A. Mook, P. Dai, et al., Nature 429, 531 (2004).
M. Inui, S. Doniach, and M. Gabay, Phys. Rev. B 38, 6631 (1988).
J. F. Annet, R. M. Martin, A. K. McMahan, et al., Phys. Rev. B 40, 2620 (1989).
P. A. Lee, N. Nagaosa, and X.-G. Wen, Rev. Mod. Phys. 78, 17 (2006).
S. Sachdev, in Quantum Magnetism, Lecture Notes in Physics (Springer, Berlin, 2004); M. Vojta, T. Vojta, and R. K. Kaul, Phys. Rev. Lett. 97, 097001 (2006).
M. Vojta and T. Ulbricht, Phys. Rev. Lett. 93, 127002 (2004).
P. Prelovšek, I. Sega, and J. Boča, Phys. Rev. Lett. 92, 027002 (2004); I. Sega, P. Prelovšek, and J. Bonča, Phys. Rev. B 68, 054524 (2003).
I. A. Larionov, Phys. Rev. B 69, 214525 (2004); Phys. Rev. B 72, 094505 (2005).
A. Sherman, Phys. Lett. A 337, 435 (2005).
A. Sherman and M. Schreiber, Phys. Rev. B 65, 134520 (2002); Phys. Rev. B 68, 094519 (2003); Eur. Phys. J. B 32, 203 (2003).
H. Mori, Prog. Theor. Phys. 33, 423 (1965); Prog. Theor. Phys. 34, 399 (1965).
J. Igarashi, Phys. Rev. B 46, 107 063 (1992); J. Phys.: Condens. Matter 4, 10 265 (1992).
R. R. P. Singh, Phys. Rev. B 39, 9760 (1989).
H. Shimahara and S. Takada, J. Phys. Soc. Jpn. 60, 2394 (1991).
A. F. Barabanov and V. M. Berezovskiĭ, Zh. Éksp. Teor. Fiz. 106, 1156 (1994) [JETP 79, 627 (1994)]; J. Phys. Soc. Jpn. 63, 3974 (1994).
A. F. Barabanov, L. A. Maksimov, and A. V. Mikheenkov, in Spectroscopy of High-T c Superconductors. A Theoretical View, Ed. by N. M. Plakida (Taylor and Francis, London, 2003), p. 1.
E. Manousakis, Rev. Mod. Phys. 63, 1 (1991).
A. F. Barabanov and L. A. Maksimov, Phys. Lett. A 207, 390 (1995).
Yu. A. Tserkovnikov, Teor. Mat. Fiz. 7, 250 (1971); Teor. Mat. Fiz. 49, 219 (1981).
N. N. Plakida, Phys. Lett. A 43, 481 (1973).
A. J. Millis, H. Monien, and D. Pines, Phys. Rev. B 42,167 (1990).
A. V. Chubukov, D. Pines, and J. Schmalian, in The Physics of Superconductors, Ed. by K. H. Bennemann and J. B. Ketterson (Springer, Berlin, 2003), Vol. 1, p. 495.
Ar. Abanov and A. Chubukov, Phys. Rev. Lett. 83, 1652 (1999).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Mikheenkov, A.F. Barabanov, 2007, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 132, No. 2, pp. 392–405.
Rights and permissions
About this article
Cite this article
Mikheenkov, A.V., Barabanov, A.F. Spin susceptibility of cuprates in the model of a 2D frustrated antiferromagnet: Role of renormalization of spin fluctuations in describing neutron experiments. J. Exp. Theor. Phys. 105, 347–359 (2007). https://doi.org/10.1134/S1063776107080079
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063776107080079