论文标题
旋转耦合到Chern绝缘子的长期放松动力学
Long-time relaxation dynamics of a spin coupled to a Chern insulator
论文作者
论文摘要
通过求解完整的运动方程，研究了经典自旋的放松，交换与一维的su-schrieffer-heeger模型的边缘位点相结合的局部磁矩。在相反边缘的几个位点与吸收浴缸的几个位点的链接耦合确保仅使用适量的核心位点实现相对于系统尺寸的收敛性。这使我们能够在数值上精确研究长期限制并确定发生旋转放松的参数状态。构建了拓扑琐碎和非平凡情况的相应动力学相图。在恢复的线性响应方法的框架内可以解释动态相位边界，拓扑边缘状态和其内部Zeeman分裂在自旋 - 放松过程中的作用以及长时间尺度上的不完整的自旋松弛。
The relaxation of a classical spin, exchange coupled to the local magnetic moment at an edge site of the one-dimensional spinful Su-Schrieffer-Heeger model is studied numerically by solving the full set of equations of motion. A Lindblad coupling of a few sites at the opposite edge to an absorbing bath ensures that convergence with respect to the system size is achieved with only a moderate number of core sites. This allows us to numerically exactly study the long-time limit and to determine the parameter regimes where spin relaxation takes place. Corresponding dynamical phase diagrams for the topologically trivial and the nontrivial cases are constructed. The dynamical phase boundaries, the role of the topological edge state and its internal Zeeman splitting for the spin-relaxation process, as well as incomplete spin relaxation on long time scales can be explained within the framework of a renormalized linear-response approach when explicitly taking retardation effects and nonequilibrium spin-exchange processes into account.
