Application of hubbard operators in the theory of magnetoelastic waves

Mitsai, Yu. N.; Fridman, Yu. A.

doi:10.1007/bf01017724

Cited by 20 publications

(12 citation statements)

References 3 publications

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“…To evaluate its value it is necessary beforehand to calculate the spectra of elementary excitations of the system. Since in our model the magnetoelastic interaction is taken into account, in this case it is impossible to consider magnetic (magnons) and elastic excitations (phonons) as independent one, because in the system there will be realized hybridised excitation-magnetoelastic waves [10].…”

Section: υ ν μItsay Et Almentioning

confidence: 99%

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

et al. 2000

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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.

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Section: υ ν μItsay Et Almentioning

confidence: 99%

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

et al. 2000

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“…This system is conveniently described using the Hubbard operator diagram technique. 16,17,19,20 The diagram technique for Hubbard operators is a mathematical formalism which makes it possible to account exactly for the influence of the magnetoelastic interaction and single-ion anisotropy by including them in the single-site hamiltonian. This method also makes it possible to work with arbitrary relationships among the material constants.…”

Section: Modelmentioning

confidence: 99%

Effect of magnetoelastic interactions on the formation of spiral magnetic structures in frustrated non-Heisenberg magnets

Fridman

Gorelikov

2011

Low Temperature Physics

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The spectra of coupled magnetoelastic waves in highly anisotropic non-Heisenberg frustrated magnets with S = 1 are obtained in the mean field approximation. An analysis of the elementary excitation spectra shows that, besides uniform phases (ferromagnetic and quadrupole), spatially-modulated magnetic structures such as magnetic spirals can develop in these systems. The points at which phase transitions into the spiral phase occur are determined. It is shown that magnetoelastic interactions cause significant changes in the size of the region where spiral structures exist.

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“…It is somewhat convenient to use the Hubbard operators [17][18][19][20]. Separating the mean field out of the exchange part of the Hamiltonian (11), the single-site Hamiltonian is obtained as…”

Section: Phase Transition From the Easy-plane Phase To The Angular Phasementioning

confidence: 99%

“…Separating in the one-site Hamiltonian (13) the terms proportional to u ð1Þ ij and using relation (18), we obtain the Hamiltonian of transformations of magnons to phonons and vice versa…”

Section: Phase Transition From the Easy-plane Phase To The Angular Phasementioning

confidence: 99%

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Influence of Dipole Interaction on the Phase Transitions Due to Temperature Variation in Two-Dimensional Ferromagnets

Fridman

Spirin

Klevets

2002

phys. stat. sol. (b)

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We investigate the influence of dipole interaction on the phase transitions due to temperature variation in two-dimensional ferromagnets. The spectra of quasi-particles at the points of the phase transitions from "the easy-axis phase" to "the angular phase" and from "the easy-plane phase" to "the angular phase" are obtained. The temperatures of the phase transitions are found. The numerical evaluation of the temperature interval of angular phase existence is in good agreement with experimental data.

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Application of hubbard operators in the theory of magnetoelastic waves

Cited by 20 publications

References 3 publications

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

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

Effect of magnetoelastic interactions on the formation of spiral magnetic structures in frustrated non-Heisenberg magnets

Influence of Dipole Interaction on the Phase Transitions Due to Temperature Variation in Two-Dimensional Ferromagnets

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