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首页> 外文期刊>Physical review >Hunting down magnetic monopoles in two-dimensional topological insulators and superconductors
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Hunting down magnetic monopoles in two-dimensional topological insulators and superconductors

机译：在二维拓扑绝缘子和超导体中狩猎磁垄断

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摘要

In two-dimensional topological insulators and superconductors, it is intuitive to imagine a magnetic monopole inside the compact reciprocal space, carrying a quantized charge corresponding to a topological invariant. However, a quantitative realization of such a physically appealing picture has proven challenging. Here, we point out that the well-known analytical "branch points" of the band structure are exactly the natural magnetic monopoles that correspond to a topological invariant. We then illustrate the evolution of the magnetic monopoles across the topological phase transition and use it to provide natural descriptions of (1) the discontinuous jump of integer topological invariants, (2) the semimetallicity on the phase boundary, (3) an extension of localized edge states into bulk states (thus the smallest physical size of the sample allowed), and (4) how a change in global topology can be induced via a local change in reciprocal space. This generic approach alone offers a comprehensive physical understanding of all aspects of topological properties, and is applicable to all topological states of matter.
机译：在二维拓扑绝缘体和超导体中，它直观地想象紧凑的往复空间内的磁单极，携带对应于拓扑不变量的量化电荷。然而，这种物理上吸引人的图片的定量实现已经证明有挑战性。在这里，我们指出了带结构的众所周知的分析“分支点”是对应于拓扑不变的自然磁垄断。然后，我们说明拓扑阶段过渡磁垄断的演变，并使用它提供（1）整数拓扑不变的自然描述，（2）相边界上的半金属，（3）局部的延伸边缘状态进入散装状态（因此允许的样本的最小物理大小），以及（4）如何通过互核空间的局部变化引起全局拓扑的变化。这种通用方法单独为拓扑特性的各个方面提供全面的身体理解，并且适用于物质的所有拓扑状态。

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  • 来源
    《Physical review》 |2019年第12期|121201.1-121201.5|共5页
  • 作者

    Xi Wenjie; Ku Wei;

  • 作者单位

    Shanghai Jiao Tong Univ Tsung Dao Lee Inst Shanghai 200240 Peoples R China|Shanghai Jiao Tong Univ Sch Phys & Astron Shanghai 200240 Peoples R China;

    Shanghai Jiao Tong Univ Tsung Dao Lee Inst Shanghai 200240 Peoples R China|Shanghai Jiao Tong Univ Sch Phys & Astron Shanghai 200240 Peoples R China|Minist Educ Key Lab Artificial Struct & Quantum Control Shanghai 200240 Peoples R China;

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