Abstract
The combined effect of the ligand crystal field and the exchange interaction on the Cu2+ cation in CuGeO3 is examined. It is shown that, if the magnitude of the exchange interaction exceeds the splitting of the energy levels of the \(d_{x^2 - y^2 } \) and d xy orbitals, then an alternate filling of the d orbitals along a chain (orbital ordering) is possible. This effect creates an antiferromagnetic interaction between Cu2+ pairs in 90° exchange and a doubling of the lattice period. A Jahn-Teller pseudoeffect causes singletization of the ground state of the antiferromagnetic chain of Cu2+ spins.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. A. Petrakovskii, K. A. Sablina, A. M. Vorotynov, A. I. Kruglik, A. G. Klimenko, A. D. Balaev, and S. S. Aplesnin, Zh. Éksp. Teor. Fiz. 98, 1382 (1990) [Sov. Phys. JETP 71, 772 (1990)].
M. Hase, I. Terasaki, and K. Uchinocura, Phys. Rev. Lett. 70, 3651 (1993).
J. W. Brag, H. R. Hart, L. V. Interrante, I. S. Jacobs, J. C. Kasper, G. D. Watkins, and S. H. Wee, Phys. Rev. Lett. 35, 744 (1975).
S. Huzinga, J. Kommander, G. A. Sawatzky, B. T. Jhole, K. Kopinga, W. J. M. DeJonge, and J. Roos, Phys. Rev. B 19, 4723 (1979).
T. Rytte, Phys. Rev. B 10, 4637 (1974).
M. Nishi, O. Fujita, and J. Akimitsu, Phys. Rev. B 50, 6508 (1994).
K. Hirota, D. T. Cox, T. E. Lorenso, G. Shirane, J. V. Tranquada, M. Hase, K. Uchinokura, H. Kojima, Y. Shibuya, and I. Tanaka, Phys. Rev. Lett. 73, 736 (1994).
L. P. Regnault, J. P. Renard, G. Dhalanne, and A. Revcolevschi, Europhys. Lett. 32, 579 (1995).
M. Nishi, O. Fujita, J. Akimitsu, K. Kakurai, and Y. Fujii, Phys. Rev. B 52, R6959 (1995).
S. Katano, O. Fujita, J. Akimutsu, and M. Nishi, Phys. Rev. B 52, 15 364 (1995).
W. Geertsma and D. Khomskii, Phys. Rev. B 54, 3011 (1996).
V. K. Voronkova, M. V. Eremin, L. V. Mosina, and Yu. V. Yablokov, Mol. Phys. 50, 379 (1983).
P. W. Anderson, Solid State Phys. 14, 99 (1963); Phys. Rev. 115, 2 (1959).
G. A. Sawatzky, W. Geertsma, and C. Haas, J. Magn. Magn. Mater. 3, 37 (1976).
M. V. Eremin, in Spectroscopy of Crystals [in Russian], Nauka, Leningrad (1985), pp. 150–171; Fiz. Tverd. Tela (Leningrad) 24, 423 (1982) [Phys. Solid State 24, 239 (1982)].
O. A. Bayukov and A. F. Savitskii, Fiz. Tverd. Tela (St. Petersburg) 36, 1923 (1994) [Phys. Solid State 36, 1049 (1994)]; Phys. Status Solidi B 155, 249 (1989).
K. I. Kugel’ and D. I. Khomskii, Zh. Éksp. Teor. Fiz. 64, 1429 (1973) [Sov. Phys. JETP 37, 725 (1973)].
M. Braden, G. Wilkendoff, J. Lorensana, M. Ain, G. J. McIntyre, M. Behruzi, G. Heger, G. Dhalenne, and A. Revcolevschi, Phys. Rev. B 54, 1105 (1996).
L. N. Bulaevskii, Zh. Éksp. Teor. Fiz. 44, 1008 (1963) [Sov. Phys. JETP 17, 470 (1963)].
Yu. V. Yablokov, V. K. Voronkova, and L. V. Mosina, Paramagnetic Resonance of Exchange Clusters [in Russian], Nauka, Moscow (1988), 181 pp.
D. C. Johnston, J. W. Johnson, D. P. Goshorn, and A. J. Jacobson, Phys. Rev. B 35, 219 (1987).
T. Barnes and J. Riera, Phys. Rev. B 50, 6817 (1994).
Y. Susago, M. Hase, K. Uchinokura, U. Tokunaga, and N. Miura, Phys. Rev. B 52, 3533 (1995).
Author information
Authors and Affiliations
Additional information
Fiz. Tverd. Tela (St. Petersburg) 40, 1686–1692 (September 1998)
Rights and permissions
About this article
Cite this article
Bayukov, O.A., Petrakovskii, G.A. & Savitskii, A.F. Orbital ordering in CuGeO3 . Phys. Solid State 40, 1534–1539 (1998). https://doi.org/10.1134/1.1130602
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1134/1.1130602