陈镖靶绝缘体：亚布里渊区拓扑与斯格明子多极子
Chern dartboard insulator: sub-Brillouin zone topology and skyrmion multipoles
AI总结：
本文提出约化陈数与陈镖靶绝缘体，在亚布里渊区实现量子化拓扑而体态平凡，揭示斯格明子赝自旋纹理及莫比乌斯费米子等奇异边缘态，并指出可在光子晶体中实现。
摘要：
拓扑在许多物理系统中起着至关重要的作用，导致表面出现有趣的态。典型的例子是在布里渊区中定义的陈数，它导致了鲁棒的无能隙边缘态。在此，我们引入约化陈数，它定义在布里渊区（BZ）的子区域中，并构造了一类陈镖靶绝缘体（CDIs），其在亚布里渊区（sBZ）中具有量子化的约化陈数，但体拓扑是平凡的。CDIs受镜面对称性保护，并在sBZ内展现出独特的赝自旋纹理，包括（反）斯格明子。这些CDIs承载奇异无能隙边缘态，如莫比乌斯费米子和带隙中间角态，并且可以在光子晶体中实现。我们的工作为探索拓扑系统中的sBZ拓扑和非平凡表面响应开辟了新的可能性。
英文摘要：
Topology plays a crucial role in many physical systems, leading to interesting states at the surface. The paradigmatic example is the Chern number defined in the Brillouin zone that leads to the robust gapless edge states. Here we introduce the reduced Chern number, defined in subregions of the Brillouin zone (BZ), and construct a family of Chern dartboard insulators (CDIs) with quantized reduced Chern numbers in the sub-BZ (sBZ) but with trivial bulk topology. CDIs are protected by mirror symmetries and exhibit distinct pseudospin textures, including (anti)skyrmions, inside the sBZ. These CDIs host exotic gapless edge states, such as Möbius fermions and midgap corner states, and can be realized in photonic crystals. Our work opens up new possibilities for exploring sBZ topology and nontrivial surface responses in topological systems.
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