论文标题
Chern绝缘子中的极化和轨道磁化：微观透视
Polarization and orbital magnetization in Chern insulators: A microscopic perspective
论文作者
论文摘要
我们使用先前开发的形式主义在扩展培养基中处理微观偏振和磁化场。在拓扑琐碎的绝缘子的极限下，我们的结果减少了“极化和磁化的现代理论”。但是，在Chern绝缘子中，我们发现了一个普遍的非呈微观的无效的无效电流密度，即其消失的宏观平均值。此外，我们为极化获得的表达在质量上与“现代理论”的表达相似，而轨道磁化的表达在根本上有所不同。它们不同的方式阐明了这些理论框架的不同哲学。
We derive macroscopic expressions for the polarization and orbital magnetization of a Chern insulator in its zero-temperature ground state using a previously developed formalism for treating microscopic polarization and magnetization fields in extended media. In the limit of a topologically trivial insulator, our results reduce to those of the "modern theories of polarization and magnetization." In a Chern insulator, however, we find a generically nonvanishing microscopic free current density, the macroscopic average of which vanishes. Moreover, the expression that we obtain for the polarization is qualitatively similar to that of the "modern theory," while the expressions for the orbital magnetization fundamentally differ; the manner in which they differ elucidates the distinct philosophies of these theoretical frameworks.
