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arXiv 1701.03201cond-mat.mes-hallcond-mat.othernlin.AO
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基于自旋霍尔磁电阻的铁磁体动态耦合

Dynamic coupling of ferromagnets via spin Hall magnetoresistance

Tomohiro Taniguchi

摘要:

从理论上研究了自旋霍尔效应引起的重金属铁磁体的同步磁化动力学。在铁磁/铁磁界面附近的正向和反向自旋霍尔效应产生纵向和横向电流。这种现象被称为自旋霍尔磁阻效应,由于自旋转移效应,其大小取决于铁磁体中的磁化方向。当另一个铁磁体被放置在同一个非磁体上时,这些电流再次通过自旋霍尔效应转换为自旋电流,并将自旋力矩激发到这个额外的铁磁体上,导致磁化的耦合运动的激发。通过数值求解Landau-Lifshitz-Gilbert方程,在横向几何中发现了磁化振荡的同相或反相同步,其同步取决于Gilbert阻尼常数和类场转矩强度的值.另一方面,除了这些同步之外,在纵向几何结构中还发现具有四分之一周期的相位差的同步。解析理论澄清电流,频率和相位差之间的关系也被开发,其中它示出,在数值模拟中观察到的相位差对应于给出由耦合转矩提供的能量的固定点。

英文摘要:

The synchronized magnetization dynamics in ferromagnets on a nonmagnetic heavy metal caused by the spin Hall effect is investigated theoretically. The direct and inverse spin Hall effects near the ferromagnetic/nonmagnetic interface generate longitudinal and transverse electric currents. The phenomenon is known as the spin Hall magnetoresistance effect, whose magnitude depends on the magnetization direction in the ferromagnet due to the spin transfer effect. When another ferromagnet is placed onto the same nonmagnet, these currents are again converted to the spin current by the spin Hall effect and excite the spin torque to this additional ferromagnet, resulting in the excitation of the coupled motions of the magnetizations. The in-phase or antiphase synchronization of the magnetization oscillations, depending on the value of the Gilbert damping constant and the field-like torque strength, is found in the transverse geometry by solving the Landau-Lifshitz-Gilbert equation numerically. On the other hand, in addition to these synchronizations, the synchronization having a phase difference of a quarter of a period is also found in the longitudinal geometry. The analytical theory clarifying the relation among the current, frequency, and phase difference is also developed, where it is shown that the phase differences observed in the numerical simulations correspond to that giving the fixed points of the energy supplied by the coupling torque.

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