正常磁化纳米柱中自旋波本征模的识别和选择规则
Identification and selection rules of the spin-wave eigen-modes in a normally magnetized nano-pillar
摘要:
利用磁共振力显微镜(MRFM)研究了一种普通磁化的双层纳米柱(坡莫合金$|$铜$|$坡莫合金)内部的自旋波本征模。我们证明,所观察到的自旋波谱严重依赖于方法的激发。虽然空间均匀的射频(RF)磁场仅激发具有方位角指数$\ell=0$的轴对称模式,但是流过纳米柱的RF电流(产生圆形RF奥斯特场)仅激发具有方位角指数$\ell=+1$的模式。通过倾斜偏置磁场或通过使柱形状为椭圆形来破坏纳米柱的轴对称性,混合了不同的$\ell$折射率对称性,其可以被RF电流同时激发。实验光谱进行了比较,使用分析和数值计算的理论预测。分析了纳米柱磁性层之间的静态和动态偶极耦合对模式谱的影响。
英文摘要:
We report on a spectroscopic study of the spin-wave eigen-modes inside an individual normally magnetized two layers circular nano-pillar (Permalloy$|$Copper$|$Permalloy) by means of a Magnetic Resonance Force Microscope (MRFM). We demonstrate that the observed spin-wave spectrum critically depends on the method of excitation. While the spatially uniform radio-frequency (RF) magnetic field excites only the axially symmetric modes having azimuthal index $\ell=0$, the RF current flowing through the nano-pillar, creating a circular RF Oersted field, excites only the modes having azimuthal index $\ell=+1$. Breaking the axial symmetry of the nano-pillar, either by tilting the bias magnetic field or by making the pillar shape elliptical, mixes different $\ell$-index symmetries, which can be excited simultaneously by the RF current. Experimental spectra are compared to theoretical prediction using both analytical and numerical calculations. An analysis of the influence of the static and dynamic dipolar coupling between the nano-pillar magnetic layers on the mode spectrum is performed.
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