论文标题

磁化率跳跃的通用量化拓扑相转换

Universal Quantization of Magnetic Susceptibility Jump at Topological Phase Transition

论文作者

Ozaki, Soshun, Ogata, Masao

论文摘要

我们从显微镜上检查了拓扑绝缘子的磁敏感性,并发现轨道 - 齐曼(OZ)跨期(轨道效应和自旋Zeeman效应之间的跨期限)与自旋的$ z $ - 组件时,与浆果曲率直接相关。特别是,OZ跨学期反映了旋转的Chern数,这导致磁敏感性在拓扑相转变处的量化。跳跃的大小为通用值的单位$ 4 | e |μ_ {\ rm b}/h $。阐明了此量化的物理起源。我们还将获得的公式应用于显式模型并演示量化。

We examine the magnetic susceptibility of topological insulators microscopically and find that the orbital-Zeeman (OZ) cross term, the cross term between the orbital effect and the spin Zeeman effect, is directly related to the Berry curvature when the $z$-component of spin is conserved. In particular, the OZ cross term reflects the spin Chern number, which results in the quantization of the magnetic susceptibility jump at the topological phase transition. The magnitude of the jump is in units of the universal value $4|e|μ_{\rm B}/h$. The physical origin of this quantization is clarified. We also apply the obtained formula to an explicit model and demonstrate the quantization.

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