Influence of a One-Ion Anisotropy on Stabilization of the Long-Range Magnetic Order in Two-Dimensional Ferromagnet

Abstract

In the paper the possibility of stabilization of the long-range magnetic order in a two-dimensional ferromagnetic with one-ion easy-plane anisotropy is explored. It is shown that at the presence of a small anisotropy in a two-dimensional ferromagnetic the long-range magnetic order is stabilized by magnetoelastic interaction. If one-ion anisotropy is comparable or even exceeds the exchange interaction in the system there exists a long-range non-vectorial quadrupolar tensorial magnetic order.

Two-Dimensional XY Model with the Account of Magnetoelastic Coupling

“…As it was shown earlier [7,8], the long-range magnetic ordering in a two-dimensional Heisenberg ferromagnet is stabilized by magnetoelastic or dipolar interactions. However three-component systems in many respects differ from two-component ones, in particular, in the behavior of correlation length [9].…”

Normal modes and possibility of spatially inhomogeneous phases for a 2D ferromagnet with biquadratic and magnetoelastic interactions

“…However, the account of the magnetodipolar interaction leads to the stabilization of the longrange magnetic order in 2D-systems [17]. The same effect has also the influence of the magnetoelastic interaction [18][19][20]. However, these mechanisms of the long-range magnetic order stabilization are different.…”

Temperature dependence of static and dynamic properties of an anisotropic ferrimagnet

“…This can be achieved using the algebra of the Hubbard operators [10,12,13], which are related to the spin operators as follows:…”

“…This effect reaches a maximum for a small integer value of the spin of the magnetic ion S = 1, but, in principle, it is also possible for large val ues of the spin S = 2 [8], as well as for half integer spin S = 3 [9]. The effect of quantum spin reduction is characteristic of magnets with single ion anisotropy of the "easy plane" type, but it is not observed in mag netic materials with single ion anisotropy of the "easy axis" type, which is associated with the struc ture of the ground state [10,11]. As a limiting case of the observation of these effects, we note the existence of the so called nematic phases of a magnet with zero average spin [7][8][9].…”