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arXiv 2002.01914cond-mat.mes-hallcond-mat.str-elphysics.atom-phphysics.chem-ph
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不同时标经典自旋系统中出现的拓扑自旋矩

Topological spin torque emerging in classical-spin systems with different time scales

Michael Elbracht, Simon Michel, Michael Potthoff

摘要:

在具有两种截然不同的固有时间尺度的经典自旋系统中,快自旋的构型几乎瞬间跟随慢自旋动力学。我们开发的紧急有效理论的慢自旋自由度,并证明,这通常包括一个拓扑自旋力矩。这种扭矩引起异常的实时动态。它来自完整的约束定义的快速自旋配置空间,并给出了在拓扑电荷密度成为一个量子化的同伦不变量积分时。

英文摘要:

In classical spin systems with two largely different inherent time scales, the configuration of the fast spins almost instantaneously follows the slow-spin dynamics. We develop the emergent effective theory for the slow-spin degrees of freedom and demonstrate that this generally includes a topological spin torque. This torque gives rise to anomalous real-time dynamics. It derives from the holonomic constraints defining the fast-spin configuration space and is given in terms of a topological charge density which becomes a quantized homotopy invariant when integrated.

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