Spin-wave resonance frequency in ferromagnetic thin film with interlayer exchange coupling and surface anisotropy

Spin wave resonance frequency in ferromagnetic thin film with the biquadratic exchange interaction

“…It is interesting to see that, the energetically higher two modes ( ) = m 9, 10 tend to be independent with increasing / J J . 2 1 In comparison to previous studies [27] considering the effect of surface anisotropy field on the interlayer exchange coupling dependence of the energetically higher two modes, the ratio / J J 2 1 is to induce the energetically higher two modes motion towards the region of higher frequency, and the frequency gap between the energetically higher two modes increases when the ratio / J J 2 1 is increased. We conclude from comparison of the variations of the energetically lowest mode and energetically highest mode that the frequency gap between the energetically highest mode and lowest mode increases with the interlayer exchange coupling and even with the ratio / J J 2 1 increasing.…”

“…In recent years, the effect of bulk uniaxial anisotropy on the SWR frequency in a magnetic film with a simple cubic structure employing the linear spin wave approximation and Green's function method has been demonstrated by Qiu [24][25][26]. Subsequently, the impacts of the surface anisotropy field, interlayer coupling interaction and next-neighbor interaction were also further investigated by our group [27][28][29][30][31]. In addition, the existence and importance of higher-order spin coupling have been confirmed by many researchers [32][33][34][35][36].…”

Strong coupling of quantized spin waves in ferromagnetic bilayers

“…The integral-quantized PSSW approximation is valid in the limit of weak IEC, where the deviation of the wave vectors from nπ/d is negligibly small. It has been demonstrated that the frequency splitting between the hybrid modes is linear with the IEC based on the macrospin model [28][29][30][31]. Moreover, it has been shown that a phase shift was induced when spin waves propagate through a hetero-structured interface due to the mismatch of the spin-wave dispersion [32][33][34].…”

Stress Anisotropy Dependent Ferromagnetic Resonance Frequency in Ferromagnetic/Antiferromagnetic Bilayers

“…In our previous works [27][28][29], we have investigated the dependence of spin-wave resonance frequency on the surface anisotropy and the interlayer exchange coupling by using the linear spin-wave approximation and Green's function method. The interlayer exchange coupling is more important for the higher energy modes.…”