Bulk-boundary correspondence for topological insulators with quantized magneto-electric effect
Bulk-boundary correspondence for topological insulators with quantized magneto-electric effect
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DOI：
10.1088/1751-8121/ab8415
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发表时间：
2018-06
期刊：
影响因子：
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通讯作者：
Bryan Leung;E. Prodan
中科院分区：
文献类型：
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作者：
Bryan Leung;E. Prodan
我们研究了绝热循环驱动的三维绝缘体中由第二陈数稳定的体边界对应和相关的表面现象。磁场和无序效应被纳入我们的分析使用算子代数方法。我们使用之间的连接映射的K-理论的体积和边界代数作为引擎的体积边界对应。我们发现，指数和指数连接映射都与这里考虑的上下文相关，因为它们导致不同的实验可观察到的表面现象，例如量子表面霍尔态的泵浦和转移或邻近诱导霍尔效应。利用这些新工具，我们还研究了时间反演对称拓扑绝缘体的表面霍尔物理，这些工具可以模拟不合理的磁通量和任意大的表面无序。
We study bulk-boundary correspondences and related surface phenomena stabilized by the second Chern number in three-dimensional insulators driven in adiabatic cycles. Magnetic fields and disorder effects are incorporated in our analysis using operator algebraic methods. We use the connecting maps between the K-theories of bulk and boundary algebras as engines for the bulk-boundary correspondences. We discovered that both the exponential and the index connecting maps are relevant for the context considered here as they lead to distinct experimentally observable surface phenomena, such as pumping and transfer of quantum surface Hall states or proximity induced Hall effect. The surface Hall physics of time-reversal symmetric topological insulators is also investigated using the new tools, which can model irrational magnetic fluxes and arbitrary large surface disorder.