RBS of two YIG films PLD-grown onto single crystal. Symbols are the experimental spectra and solid lines are the simulation made with the SIMNRA 6.05 program. Film thickness and Fe-to-Y concentration ratio are shown together with the corresponding sample shorthand. Spectrum of PLD-YIG3 film is offset for clarity by 1500 counts.
FMR absorption in PLD-YIG3 and PLD-YIG4 films recorded at frequency in magnetic field parallel (left frame) and perpendicular (right frame) to the film plane.
Dependencies of FMR frequency on the external magnetic field in perpendicular and two parallel to the film plane geometries: and . PLD-YIG3 and PLD-YIG4 films spectra are shown with symbols ○ and ●, correspondingly. Solid lines depict the fitting of the experimental data to analytical formulas [Eqs. (5a)–(5c) and (6)]. The fitting parameters , , and are collected in Table I. Inset presents the coordinate system of (001) oriented YIG film. Deep cove at 2000 Oe and indistinct pit at 48 Oe marked with a crossed vertical arrow manifest presence of spin wave “soft modes.”
Polar angle dependence of the resonance field recorded at . Experimental data for PLD-YIG3 and PLD-YIG4 films are shown with symbols ○ and ●, correspondingly. Solid lines are theoretical curves computed with Eqs. (4) and (2) using axial and cubic fields as fitting parameters.
In-plane angular dependence of the resonance field recorded at . Symbols ○ and ● depict experimental data for PLD-YIG3 and PLD-YIG4 films, respectively. Solid lines present fitting to the Fourier series in Eq. (7). The eight beginning Fourier amplitudes are shown in insets. Fitting parameters, axial , and cubic fields, are printed together with the corresponding sample shorthand.
3D contour plots for concentration dependence of saturation magnetization (a) and cubic anisotropy field (b) in Fe-deficient films. Three solid lines depict variation in and in YIGs when the total concentration of Fe ions is kept constant , 0.86, and 0.95 f.u. whereas the partial concentrations in octahedral and tetrahedral sublattice vary. Three circular symbols mark and in (111) oriented LPE-YIG, PLD-YIG1, and PLD-YIG2 films from Ref. 9. Big quadratic symbols show experimental and calculated parameters for PLD-YIG3 and PLD-YIG4 films grown onto GGG(001) crystal. Symbols projections to the plane yield actual redistribution of Fe ions between octahedral and tetrahedral sublattices.
Calculated energy of uniaxial magnetic anisotropy in PLD-YIG(001) films for different “sticking coefficients” and that define the probabilities to populate the first and the second group of the tetrahedral sites with ions (see Table II). Solid lines on the contour surfaces show the experimental magnitude of measured in PLD-YIG3 (a) and PLD-YIG4 (b) films. The projections of these two lines onto the plane intersect each other nearby the point and . Lucid image of the intersection is magnified in inset. The modeling parameters determine two probabilities: and for vacancy to occupy, respectively, tetrahedrons distorted along the growth  direction and tetrahedral complexes with in-plane distortion axes.
Parameters of PLD-grown Fe-deficient films.
Ferric ion sites in the garnet structure of YIG(001) film.
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