Influence of cubic anisotropy on the ground state and thermodynamic properties of Heisenberg magnets
Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 453-464
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The quantum description of Heisenberg cubic ferromagnets with single-ion anisotropy
is considered. The spin operators are represented in terms of the Hubbard operators,
and this makes it possible to take into account exactly the effects of single-ion anisotropy
of arbitrary symmetry, and also an arbitrary orientation of the external magnetic field.
In conjunction with solution of the single-ion problem, this makes it possible to investigate
the influence of anisotropy on the magnetization of a cubic ferromagnet in the ground
state and the spectrum of single-ion energies. It is shown that for a cubic ferromagnet
with $S=2$ there is a change in the kind of phase transition, from the second to the first,
at $K/I_0=1.912$, and for $K>4I_0$ the ferromagnetic ordering disappears. The Curie
temperature of cubic ferromagnets with $S=2,\ 5/2,\ 3,\ 7/2$ is studied as a function of
the anisotropy.
@article{TMF_1984_59_3_a11,
author = {V. V. Val'kov and T. A. Val'kova},
title = {Influence of cubic anisotropy on the ground state and thermodynamic properties of {Heisenberg} magnets},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {453--464},
publisher = {mathdoc},
volume = {59},
number = {3},
year = {1984},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a11/}
}
TY - JOUR AU - V. V. Val'kov AU - T. A. Val'kova TI - Influence of cubic anisotropy on the ground state and thermodynamic properties of Heisenberg magnets JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1984 SP - 453 EP - 464 VL - 59 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a11/ LA - ru ID - TMF_1984_59_3_a11 ER -
%0 Journal Article %A V. V. Val'kov %A T. A. Val'kova %T Influence of cubic anisotropy on the ground state and thermodynamic properties of Heisenberg magnets %J Teoretičeskaâ i matematičeskaâ fizika %D 1984 %P 453-464 %V 59 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a11/ %G ru %F TMF_1984_59_3_a11
V. V. Val'kov; T. A. Val'kova. Influence of cubic anisotropy on the ground state and thermodynamic properties of Heisenberg magnets. Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 453-464. http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a11/