Abstract
The distinctive characteristics of the de Haas-van Alphen effect in semimetals with antiferromagnetic long-range order are investigated theoretically. It is shown that the transition of the subsystem of localized spins from the canted antiferromagnetic phase to the ferromagnetic phase is accompanied by an abrupt change in the “frequency” of the magnetization oscillations of band carriers M ∼. In the below-critical range of magnetic fields, M ∼ is not a function periodic in 1/H. Significantly, the additional contribution to the phase of the oscillatory factors is proportional to H 2 and is determined entirely by quantum fluctuations in the antiferromagnetic subsystem.
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References
G. Czycholl, Phys. Rep. 143, 277 (1986).
D. M. Newns and N. Reed, Adv. Phys. 36, 799 (1987).
V. A. Khodel, V. R. Shaginyan, and V. V. Khodel, Phys. Rep. 1, 249 (1994).
E. Dagotto, Rev. Mod. Phys. 66, 763 (1994).
C. M. Varma, P. B. Littlewood, S. Schmitt-Rink, E. Abrahams, and A. Ruckenstein, Phys. Rev. Lett. 63, 1996 (1989).
J. H. Kim, K. Levin, and A. Auerbach, Phys. Rev. B 39, 11633 (1989).
M. Hunt, P. Meeson, P.-A. Probst, P. Reinders, M. Springford, W. Assmus, and W. Sun, J. Phys. Condens. Matter 2, 6859 (1990).
J. W. Rusul and P. Schlottmann, Physica B 163, 689 (1990).
R. Sollie and P. Schlottmann, Phys. Rev. B 41, 8860 (1990).
T. Kasuya, J. Phys. Soc. Jpn. 64, 1453 (1995).
T. Kasuya, T. Suzuki, and Y. Haga, J. Phys. Soc. Jpn. 62, 2549 (1993).
I. M. Lifshits, M. Ya. Azbel’, and M. I. Kaganov, Electron Theory of Metals, Consultants Bureau, New York (1973).
É. L. Nagaev, Physics of Magnetic Semiconductors [in Russian], Moscow (1979).
J. M. Ziman, Principles of the Theory of Solids, Cambridge Univ. Press, London (1964).
A. S. Borovik-Romanov, in Antiferromagnetism and Ferrites [in Russian], Moscow (1962).
A. G. Gurevich, Magnetic Resonance in Ferrites and Antiferromagnets [in Russian], Moscow (1973).
A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics, Prentice-Hall, Englewood Cliffs, N.J. (1963).
M. I. Kaganov and A. V. Chubukov, Usp. Fiz. Nauk 153, 537 (1987) [Sov. Phys. Usp. 30, 1015 (1987)].
L. D. Landau and E. M. Lifshitz, Statistical Physics, 3rd Ed., Pergamon Press, Oxford-New York (1980).
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Fiz. Tverd. Tela (St. Petersburg) 39, 204–210 (February 1997)
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Val’kov, V.V., Dzebisashvili, D.M. Influence of antiferromagnetic ordering on the de Haas-van Alphen effect in a semimetal. Phys. Solid State 39, 179–184 (1997). https://doi.org/10.1134/1.1129779
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DOI: https://doi.org/10.1134/1.1129779