Hysteretic Phenomena in Magnets with Tensor Interactions


  • I.P. Shapovalov I.I. Mechnikov Odesa National University
  • P.A. Sayko I.I. Mechnikov Odesa National University






Magnetic properties of a uniaxial singlet magnet with tensor interactions have been studied. A case where the atomic spins equal 1, and the external magnetic field is directed along the axis of crystal symmetry, is considered. The diagram of stability and metastability in the temperature versus field coordinates is plotted for the quadrupole (QP) and ferromagnetic (FM) phases. It revealed two metastability regions. In one of them, the QP phase is stable, but the FM one can be metastable only. In the other region, the opposite situation is realized. The "hysteretic" dependence of the magnetization on the field is obtained. An analytic dependence of the magnetization reversal energy on the Hamiltonian parameters of the system at zero temperature is derived.


M. Blume and Y.Y. Hsieh, J. Appl. Phys. 40, 1249 (1969).


H.H. Chen and P.M. Levy, Phys. Rev. Lett. 27, 1383 (1971).


M. Nauciel-Bloch, G. Sarma, and A. Castets, Phys. Rev. B 5, 4603 (1972).


V.M. Matveev, Zh. 'Eksp. Teor. Fiz. 65, 1626 (1973).

V.P. Dyakonov, E.E. Zubov, F.P. Onufrieva et al., Zh. 'Eksp. Teor. Fiz. 93, 1775 (1987).

F.P. Onufrieva, Dr. Sci. thesis (I.I. Mechnikov Odesa State University, Odesa, 1989).

V.M. Kalita and V.M. Loktev, Fiz. Nizk. Temp. 28, 1244 (2002).


V.S. Zapf, D. Zocco, B.R. Hansen et al., Phys. Rev. Lett. 96, 077204 (2006).

E.V. Nagaev, Magnets with Complex Exchange Interactions (Nauka, Moscow, 1988) (in Russian).

V.M. Loktev, Fiz. Nizk. Temp. 7, 1184 (1981).

V.G Bar'yakhtar, V.N. Krivoruchko, and D.A. Yablonskii, Green's Functions in the Theory of Magnetism (Naukova Dumka, Kyiv, 1984) (in Russian).

F.P. Onufrieva, Zh. 'Eksp. Teor. Fiz. 86, 2270 (1985).

T. Iwashita and N. Uryu, Phys. Status Solidi B 137, 65 (1986).


V.V. Val'kov, G.N. Matsuleva, and S.G. Ovchinnikov, Fiz. Tverd. Tela 31, 60 (1989).

V.V. Val'kov and B.V. Fedoseev, Fiz. Tverd. Tela 32, 3522 (1990).

V.M. Kalita, Fiz. Tverd. Tela 33, 1940 (1991).

F.P. Onufrieva and I.P. Shapovalov, J. Moscow Phys. Soc. 1, 63 (1991).

V.M. Loktev and V.S. Ostrovskii, Fiz. Nizk. Temp. 20, 983 (1994).

V.M. Kalita and A.F. Lozenko, Fiz. Nizk. Temp. 24, 958 (1998).


I.P. Shapovalov, Zh. Fiz. Dosl. 3, N 2, 192 (1999).


Yu.A. Fridman, O.V. Kozhemyako, and B.L. Eingorn, Fiz. Nizk. Temp. 27, 495 (2001).


O.R. Baran and R.R. Levitskii, Phys. Rev. B 65, 172407 (2002).


V.M. Kalita and V.M. Loktev, Zh. 'Eksp. Teor. Fiz. 125, 1149 (2004).

Yu.A. Fridman, D.A. Matyunin, and F.N. Klevets, Fiz. Nizk. Temp. 33, 881 (2007).


R.R. Levitskii and O.R. Baran, Zh. Fiz. Dosl. 11, No. 3, 303 (2007).


V.M. Kalita, G.Yu. Lavanov, and V.M. Loktev, Fiz. Tverd. Tela 50, 285 (2008).


I.P. Shapovalov, Ukr. Fiz. Zh. 53, 653 (2008).

I.P. Shapovalov, Ukr. Fiz. Zh. 55, 307 (2010).

V.M. Kalita and V.M. Loktev, Fiz. Tverd. Tela 45, 1450 (2003).




How to Cite

Shapovalov І., & Sayko П. (2022). Hysteretic Phenomena in Magnets with Tensor Interactions. Ukrainian Journal of Physics, 56(3), 248. https://doi.org/10.15407/ujpe56.3.248



Solid matter