Abstract:
A scheme of microscopic description of magnetoelastic wavjes in the Heisenberg ferromagnets with the one-ion anisotropy of the easy plane and easy axis type is constructed. The scheme is based on the representation of spin operators in terms of the Hubbard operators. This makes it possible to take exactly into account the effects of the one-ion anisotropy and magnetoelastic interaction. For the both classes of magnets considered the dispersion equation for the magnetoelastic waves is obtained in the whole range of temperatures. It is shown that the softening of the phonon mode near the reorientation phase transition takes place at arbitrary temperatures up to the Curie point.
Citation:
Yu. N. Mitsai, Yu. A. Fridman, “Application of Hubbard operators in the theory of magnetoelastic waves”, TMF, 81:2 (1989), 263–270; Theoret. and Math. Phys., 81:2 (1989), 1194–1199
This publication is cited in the following 12 articles:
E. A Yarygina, V. V Kozachek, Ya. Yu Matyunina, O. A Kosmachev, Yu. A Fridman, “DINAMIChESKIE I STATIChESKIE SVOYSTVA NEGEYZENBERGOVSKOGO ANIZOTROPNOGO ANTIFERROMAGNETIKA PRI NENULEVOY TEMPERATURE”, Žurnal èksperimentalʹnoj i teoretičeskoj fiziki, 165:1 (2024), 98
O. A. Kosmachev, Ya. Yu. Matyunina, Yu. A. Fridman, “Dynamic and Static Properties of a Non-Heisenberg Ferrimagnet with Single-Ion Easy-Axis Anisotropy”, J. Exp. Theor. Phys., 135:3 (2022), 354
A. V. Krivtsova, Ya. Yu. Matyunina, Yu. A. Fridman, “Non-Heisenberg Anisotropic Ferrimagnet”, J. Exp. Theor. Phys., 131:2 (2020), 302
E.A. Yarygina, Ya.Yu. Matyunina, Ph.N. Klevets, Yu.A. Fridman, “Dynamic and static properties of two-sublattice anisotropic non-Heisenberg magnet”, Journal of Magnetism and Magnetic Materials, 512 (2020), 167043
Lyashenko T.I. Kalita V.M. Loktev V.M., “On the Theory of the Magnetic Quantum Phase Transitions of the First Kind in Van Vleck Ising Antiferromagnet”, Low Temp. Phys., 45:1 (2019), 98–102
E. A. Yarygina, Ya. Yu. Matyunina, Ph. N. Klevets, Yu. A. Fridman, “Dynamic and Static Properties of a Two-Sublattice Anisotropic Non-Heisenberg Magnet”, J. Exp. Theor. Phys., 129:6 (2019), 1070
A. G. Meleshko, F. N. Klevets, G. A. Gorelikov, O. A. Kosmachev, Yu. A. Fridman, “Supersolid magnetic phase in the two-dimensional Ising-like antiferromagnet with strong single-ion anisotropy”, Phys. Solid State, 59:9 (2017), 1739–1747
Lavanov G.Yu. Kalita V.M. Ivanova I.M. Loktev V.M., “Magnetic quantum phase transitions and entropy in Van Vleck magnet”, J. Magn. Magn. Mater., 416 (2016), 466–474
E. A. Neklyudov, F. N. Klevets, Yu. A. Fridman, “Spiral magnetic structure in non-Heisenberg magnets with an easy-axis anisotropy”, Phys. Solid State, 58:10 (2016), 1999–2004
Gorelikov G.A. Meleshko A.G. Fridman Yu.A., “Dynamic and Static Properties of Rigidly Fixed Ultrathin Ferromagnetic Films With S=1 and Competing Anisotropies”, Low Temp. Phys., 40:5 (2014), 423–434
G. A. Gorelikov, Yu. A. Fridman, “Effect of mechanical boundary conditions on the dynamic and static properties of a strongly anisotropic ferromagnet”, J. Exp. Theor. Phys., 117:1 (2013), 126
V. M. Kalita, I. M. Ivanova, V. M. Loktev, “Quantum effects of magnetization of an easy-axis ferromagnet with S=1”, Theoret. and Math. Phys., 173:2 (2012), 1620–1635
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