Magneto‐Elastic Coupling Coefficients of Ca‐Bi‐V‐I‐Garnet

An experimental investigation of magnetoelastic properties of the' bismuthcalcium-iron-vanadium garnet (BiCaNG) system is carried out in this paper. By that time these crystals a r e investigated in detail (1 to 4). which considerably simplifies the comprehension and interpretation of the obtained results. In the papers (3, 4) a number of investigations of the high-frequency and magnetic characteristics of these crystals were carried out by the ferromagnetic resonance method.Due t.0 the comparatively high Curie temperature , with relatively low magnetization and small width of ferromagnetic resonance line, the investigated BiCaIVG single crystals are widely applied a s apparatus elements operating in the low-frequency microwave range, and may be perspective a s magnetic memory elements (5). However, the magnetoelastic properties of the given crystals are. not yet investigated enough (3, 6).In this paper the temperature dependences of magnetostriction constants a r e measured by the resonance method for a number of compounds of the BiCaIVG system, and one-ion magnetoelastic coefficients a r e calculated from the obtained data.BiCaIV garnets are synthesized in a system of easily melted compounds with low temperature eutectics. Therefore their solid solutions may be directly obtained from the crystal-forming oxides. The growing was carried out by the crystallization method from the solution in a melt (7). The grown crystals had the general crystalchemical formulaThe crystal composition was estimated by X-ray diffraction analysis and was confirmed by magnetization measurements. From the grown crystals the samples were prepared in the form of globes with * 1 mm diameter. Their surface polishing -1 2

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Magnetoelastic coupling investigation of bismuth-calcium-iron-vanadium garnets

Smokotin

Petrov

Velichko

et al. 1974

Phys. Stat. Sol. (a)

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Quantum Statistical Theory of Parametric Spin‐Wave Excitations in Magnetoelastic Ferromagnets under Parallel Pumping: II. Calculation of Macroscopic Observables

Haubenreißer¹,

Klupsch²,

Voigt³

1976

Physica Status Solidi (b)

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Contents I . Introduction Some general remarks on the calculation of macroscopic observables far from thermal equilibrium Critical threshold field of a first-order spin-wave instabilitg3.1 Definition: classical theory 3.2 Quantum statistical aspects of the critical threshold field 3.3 Informations from the critical threshold field 4 . Theory of dynamical magnetic susceptibility 4.1 General aspects 4.2 Subthreshold and transient imaginary part of the dynamical suscepti-4.3 Dissipation-fluctuation theory of the steady-state imaginary part of the 4.4 Off-diagonal effects and low frequency instabilities bility dynamical susceptibility above the critical threshold ReferencesFollowing the idea of Bogolyubov regarding the hierarchy of relaxation times of many body systems (see, for instance [2]) this method describes the so-called "kinetic state" in time-development. I n this state, the system is completely characterized by one-particle distribution functions (Green's functions and correlation functions, respectively) assuming the existence of functional relations connecting one-particle functions with higher order distribution functions. These relations are found by functional perturbation series with respect to anharmonic parts of Xo. Therefore, the distribution functions obey closed (nonlinear) equations of motion (mass operator formalism of Green's function theory) which are to solve, as above, with the initial condition of thermal equilibrium. According to the kinetic description, the thermal equilibrium is again completely characterized by the full set of one-particle distribution functions. Expectation Q = Po = e-Wo/Tr e-KG

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Magneto‐Elastic Coupling Coefficients of Ca‐Bi‐V‐I‐Garnet

Cited by 2 publications

References 6 publications

Magnetoelastic coupling investigation of bismuth-calcium-iron-vanadium garnets

Magnetoelastic coupling investigation of bismuth-calcium-iron-vanadium garnets

Quantum Statistical Theory of Parametric Spin‐Wave Excitations in Magnetoelastic Ferromagnets under Parallel Pumping: II. Calculation of Macroscopic Observables

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