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arXiv 2203.05077cond-mat.mes-hall
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陈绝缘体中的极化与轨道磁化:微观视角

Polarization and orbital magnetization in Chern insulators: A microscopic perspective

Perry T. Mahon, Jason G. Kattan, J. E. Sipe

AI总结:

本文从微观视角推导了陈绝缘体零温基态的极化与轨道磁化表达式,发现其轨道磁化与现代理论存在根本差异,并揭示了微观自由电流密度非零但宏观平均为零的特性。

摘要:

我们利用先前发展的用于处理扩展介质中微观极化场与磁化场的形式体系,推导了陈绝缘体在其零温基态下的极化与轨道磁化的宏观表达式。在拓扑平凡绝缘体的极限下,我们的结果退化为“现代极化与磁化理论”的结果。然而,在陈绝缘体中,我们发现一般存在非零的微观自由电流密度,其宏观平均值为零。此外,我们得到的极化表达式在性质上与现代理论的表达式相似,而轨道磁化的表达式则存在根本差异;这种差异方式阐明了这些理论框架的不同哲学思想。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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