Abstract
Thermodynamic properties of cubic Heisenberg ferromagnets with competing exchange interactions are considered near the frustration point where the coefficient D in the spin-wave spectrum E k ∼ Dk 2 vanishes. Within the Dyson-Maleev formalism, it is found that, at low temperatures, thermal fluctuations stabilize ferromagnetism by increasing the value of D. For not overly strong frustration, this leads to an unusual “concave” shape of the temperature dependence of magnetization, which is in agreement with experimental data on europium chalcogenides. The phase diagram is constructed by means of Monte Carlo simulation, and suppression of the magnetization and Curie temperature is found in comparison with the results of the spin-wave theory. This effect is explained by the presence of nonanalytical corrections to the spin-wave spectrum which are represented in the lowest order by the term ∼(T/S)2 k 2lnk.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Quantum Magnetism, Ed. by U. Schollwöck, J. Richter, D. J. J. Farnell, and R. F. Bishop (Springer, Berlin-Heidelberg, 2004).
N. Shannon, T. Momoi, and P. Sindzingre, Phys. Rev. Lett. 96, 027213 (2006).
M. E. Zhitomirsky and H. Tsunetsugu, Europhys. Lett. 92, 37001 (2010).
A. N. Ignatenko, A. A. Katanin, and V. Yu. Irkhin, JETP Lett. 87, 555 (2008).
T. Mairoser, A. Schmehl, A. Melville, et al., Phys. Rev. Lett. 105, 257206 (2010).
E. L. Nagaev, Magnets with Complex Exchange Interactions (Nauka, Moscow, 1988) [in Russian].
F. J. Dyson, Phys. Rev. 102, 1217 (1956).
M. Wortis, Phys. Rev. 132, 85 (1963).
E. Rastelli, S. Sedazzari, and A. Tassi, J. Phys.: Condens. Matter 3, 5861 (1991).
V. G. Bar’yakhtar, V. N. Krivoruchko, and D. A. Yablonskii, Green Functions in the Theory of Magnetism (Naukova Dumka, Kiev, 1984) [in Russian].
M. T. Heinilä and A. S. Oja, Phys. Rev. B 48, 16514 (1993).
G. Baym and A. M. Sessler, Phys. Rev. 131, 2345 (1963).
V. Yu. Irkhin, A. A. Katanin, and M. I. Katsnelson, Fiz. Met. Metalloved. 79, 65 (1995); V. Yu. Irkhin, A. A. Katanin, and M. I. Katsnelson, J. Phys.: Condens. Matter 4, 5227 (1992); Phys. Rev. B 60, 1082 (1999); A. A. Katanin and V. Yu. Irkhin, Phys. Usp. 50, 613 (2007).
M. Takahashi, Phys. Rev. B 40, 2494 (1989).
B. Bauer, L. D. Carr, H. G. Evertz, et al., J. Stat. Mech.: Theor. Exp. 2011, P05001 (2011).
R. M. Hornreich, M. Luban, and S. Shtrikman, Phys. Rev. Lett. 35, 1678 (1975).
S. V. Okatov, A. R. Kuznetsov, Y. N. Gornostyrev, et al., Phys. Rev. B 79, 094111 (2009).
Yu. A. Kosevich and A. V. Chubukov, Sov. Phys. JETP 64, 654 (1986).
S. A. Kulagin, N. Prokofiev, O. A. Starykh, et al., arXiv:1211.3631v1.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.N. Ignatenko, A.A. Katanin, V.Yu. Irkhin, 2013, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 97, No. 4, pp. 235–240.
The article was translated by the authors.
Rights and permissions
About this article
Cite this article
Ignatenko, A.N., Katanin, A.A. & Irkhin, V.Y. Strong fluctuations near the frustration point in cubic lattice ferromagnets with localized moments. Jetp Lett. 97, 209–213 (2013). https://doi.org/10.1134/S0021364013040073
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364013040073