Checkerboard模型中的磁振子霍尔效应

Magnon Hall effect on the Checkerboard lattice

在一些铁磁绝缘体中,由于Dzyaloshinskii–Moriya(DM)相互作用的存在,会出现磁振子霍尔效应,即如果在横向施加一个温度梯度,在纵向上会有热流产生.对Checkerboard模型中可能存在的磁振子霍尔效应做了讨论,通过对角化沿横向取周期边界条件,纵向自由边界条件的体系的哈密顿量确定了该体系中存在受拓扑保护的边缘态,并且根据磁振子的半经典运动方程,计算了纵向热导率随温度的变化曲线.这些结果对于实验上寻找新的具有磁振子霍尔效应的体系及其在自旋电子学上的应用具有一定的积极贡献.

Ferromagnetic insulators without inversion symmetry may show magnon Hall effect （MHE） in the presence of a temperature gradient due to the existence of Dzyaloshinskii - Moriya （DM） interaction. In this theoretical study, we investigate MHE on the Checkerboard lattice, which shows inversion symmetry. The DMI is introduced by adding an external electric field. The nontrivial topology of this model is shown by examining the existence of edge states and computing the non zero Chern numbers of two bands possessed by this model. We can determine the sign and magnitude of the transverse thermal conductivity in the high tem- perature limit with the non zero Chern numbers.