We consider the planar magnonic waveguide with a periodic sequence of antidots forming zig-zag pattern, where two neighboring antidots are shifted towards the opposite edges of the waveguide. This system has a complex base with two antidots in one unit cell. The Brillouin zone is here two-times narrower than the Brillouin zone for the waveguide without displacement of antidots. We have shown that for dispersion relation folded into narrower Brillouin zone, new frequency gap can be opened and their width can be controlled by the shift of the antidots. We found that, the different strength of spin wave pinning at the edges of the periodic waveguide (and their antidots)determines the dependence of the width of gap on the shift of antidots. For the systems with completely free or ideally pinned magnetization, these dependencies are qualitatively different. We have found an optimum shift of antidot for maximzing the width of the gap for the system with pinned magnetization. More interestingly, we notice that for this kind of geometry of the structure, majority of the modes are doubly degenerate at the edge of Brillouin zone and have a finite group velocity at the very close vicinity of the edge of Brillouin zone, for larger values of antidot shift. This empowers us to design magnonic waveguide to steer the spin waves.
All-electrical detection of spin dynamics in magnetic antidot lattices by the inverse spin Hall effect
在亚微米尺度上对横向受限结构中自旋动力学的理解已经成为新型磁存储技术发展的一个重要方面。众多的铁磁共振测量,光学特性的克尔显微镜和布里渊光散射光谱和X射线研究进行了检测图案化的磁性antidot晶格的动态。在这里,我们调查奥斯特场驱动的自旋动力学在矩形Ni 80 Fe 20/Pt反点晶格与不同的晶格参数通过电气手段,并比较它们的微磁学模拟。当系统被驱动到谐振时,检测到样品长度上的直流电压,其在场反转时改变其符号,这与基于逆自旋霍尔效应的整流机制一致。此外,我们表明,电压输出的比例线性与所施加的微波驱动在调查范围内的功率。我们的研究结果对工程磁振子应用和器件的发展有直接的影响。
Artificial Gauge Field and Quantum Spin Hall States in a Conventional Two-dimensional Electron Gas
在Born-Oppemheimer近似下,我们将自旋轨道耦合系统中的总电子哈密顿量分解为慢轨道运动和快带间跃迁过程。我们发现,快速运动诱导规范场慢轨道运动,垂直于电子动量,诱导拓扑相。从这个一般设计原理出发,我们提出了一种在抛物线渐变GaAs/In $_{x}$ Ga $_{1-x}$ As/GaAs量子阱中产生人工规范场和拓扑相的理论。通过调整反点晶格的刻蚀深度和周期,叠加势引起的能带折叠导致了能带的形成和相邻子带之间的能带反转。子带间的自旋轨道相互作用打开了相当大的非平凡的迷你间隙,并导致许多对螺旋边缘状态在这些间隙。