横向耦合波导中局域边缘模式的解剖
Anatomy of localized edge modes in laterally coupled waveguides
AI总结：
本文通过微磁学方法研究坡莫合金条带中的局域边缘自旋波模式，揭示了边缘模式与邻近条带模式的杂化效应，并展示了通过静磁耦合调控实现边缘共振频率宽范围可调及磁场传感的潜力。
摘要：
我们对具有矩形截面的无限长坡莫合金条带中的驻立自旋波模式进行了系统的微磁学研究。利用有限元动态矩阵方法，我们首先计算了作为跨条带施加的面内磁场函数的本征频率和相应的本征向量（模式轮廓）。假设均匀射频激发，等同于实验铁磁共振测量，从模式轮廓计算铁磁共振谱。对场相关模式轮廓的研究使得能够对观察到的共振进行分类，这里主要关注在条带边缘附近局域的真实边缘模式。此外，我们研究了50纳米厚坡莫合金条带对中模式局域化随条带宽度及其横向间距的变化。对于紧密间隔的条带，准均匀模式的空间轮廓由于与相邻条带的边缘局域驻立自旋波模式的显著杂化而大幅修改。我们表明，通过精确控制条带之间的静磁耦合，可以实现局域边缘模式共振的宽范围可调性。边缘模式频率对偏置场的极端敏感性展示了边缘共振在磁场传感方面的潜力。此外，对于窄条带（宽度约100纳米），由于允许的受限模式数量减少，可以实现场可控的共振切换，这些共振局域在条带中心或条带边缘。
英文摘要：
We present a systematic micromagnetic study of standing spin-wave modes in infinitely long Permalloy strips with rectangular cross-section. Using a finite-element dynamic-matrix method, we first calculate the eigenfrequencies and the corresponding eigenvectors (mode profiles), as a function of the in-plane magnetic field applied across the strip. The ferromagnetic resonance spectra is computed from the mode profiles, assuming a homogeneous radio-frequency excitation, equivalently to an experimental ferromagnetic resonance measurement. The investigation of the field-dependent mode profiles enables for the classification of the observed resonances, here focusing mostly on the true edge mode localized at the vicinity of strip edges. Furthermore, we study the mode localization in pairs of 50-nm-thick Permalloy strips as a function of the strip width and their lateral separation. For closely spaced strips, the spatial profile of the quasi-uniform mode is substantially modified due to a significant hybridization with the edge-localized standing spin-wave modes of the neighbouring strip. We show that a wide-range-tunability of the localized edge-mode resonances can be achieved with a precise control of the magnetostatic coupling between the strips. Extreme sensitivity of the edge mode frequency on the bias field demonstrates a potential of the edge resonances for field sensing. Furthermore, for narrow strips (~100 nm in width), due to the reduced number of the allowed confined modes, a field-controllable switching between the resonances localized either in the strip center or at the edges of the strips can be achieved.
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