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arXiv 2009.06296cond-mat.mes-hallcond-mat.mtrl-sci
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间接耦合经典杂质自旋的非哈密顿动力学

Non-Hamiltonian dynamics of indirectly coupled classical impurity spins

Simon Michel, Michael Potthoff

摘要:

我们讨论了一个有效的低能量理论的出现,实时动态的两个经典杂质自旋的框架内的一个原型和纯粹的经典模型的间接磁交换:两个经典杂质自旋嵌入在主机系统,其中包括有限数量的经典自旋本地化的网站上的晶格和相互作用,通过最近的邻居海森堡交换。对于杂质自旋和宿主自旋之间的局域交换耦合较弱的区域,导出了慢杂质自旋动力学的有效低能理论。为此,我们应用最近发展的绝热自旋动力学(ASD)理论。除了类似哈密顿的经典自旋力矩,ASD还考虑了一种新的拓扑自旋力矩,这种自旋力矩起源于接近绝热动力学的完整效应。结果表明,有效的低能量的进动动力学不能从一个有效的Hamilton函数,其特征在于由一个非零的进动频率,即使初始状态只稍微偏离一个基态。有效的理论相比,完全数值解的运动方程的整个系统的杂质和主机自旋,以确定绝热有效理论适用的参数制度。超越绝热近似的有效理论必须包括动态主机自由度,并超越简单的间接磁交换的想法。我们讨论了一个例子,广义约束自旋动力学,它确实改善了描述,但也失败了某些几何设置。

英文摘要:

We discuss the emergence of an effective low-energy theory for the real-time dynamics of two classical impurity spins within the framework of a prototypical and purely classical model of indirect magnetic exchange: Two classical impurity spins are embedded in a host system which consists of a finite number of classical spins localized on the sites of a lattice and interacting via a nearest-neighbor Heisenberg exchange. An effective low-energy theory for the slow impurity-spin dynamics is derived for the regime, where the local exchange coupling between impurity and host spins is weak. To this end we apply the recently developed adiabatic spin dynamics (ASD) theory. Besides the Hamiltonian-like classical spin torques, the ASD additionally accounts for a novel topological spin torque that originates as a holonomy effect in the close-to-adiabatic-dynamics regime. It is shown that the effective low-energy precession dynamics cannot be derived from an effective Hamilton function and is characterized by a non-vanishing precession frequency even if the initial state deviates only slightly from a ground state. The effective theory is compared to the fully numerical solution of the equations of motion for the whole system of impurity and host spins to identify the parameter regime where the adiabatic effective theory applies. Effective theories beyond the adiabatic approximation must necessarily include dynamic host degrees of freedom and go beyond the idea of a simple indirect magnetic exchange. We discuss an example of a generalized constrained spin dynamics which does improve the description but also fails for certain geometrical setups.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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