非均匀Weyl材料的弯曲时空理论
Curved spacetime theory of inhomogeneous Weyl materials
摘要：
我们展示了如何描述具有空间变化的时间反转（TR）或反转（I）对称性破缺的Weyl半金属的普遍低能性质的手征费米子经历弯曲\emph{spacetime}几何和合成规范场。利用Clifford表示和Schriffon-Wolff变换，我们给出了一个具有丰富几何和规范结构的有效曲空间Weyl理论的系统推导。为了说明形式主义的效用，我们给出了一个具体的处方，如何制造非平凡的弯曲时空和事件视界的拓扑绝缘体与磁纹理。我们的理论还可以解释应变诱导效应，为研究和设计非均匀外尔材料提供了一个强大的统一框架。
英文摘要：
We show how the universal low-energy properties of Weyl semimetals with spatially varying time-reversal (TR) or inversion (I) symmetry breaking are described in terms of chiral fermions experiencing curved-\emph{spacetime} geometry and synthetic gauge fields. By employing Clifford representations and Schrieffer-Wolff transformations, we present a systematic derivation of an effective curved-space Weyl theory with rich geometric and gauge structure. To illustrate the utility of the formalism, we give a concrete prescription of how to fabricate nontrivial curved spacetimes and event horizons in topological insulators with magnetic textures. Our theory can also account for strain-induced effects, providing a powerful unified framework for studying and designing inhomogeneous Weyl materials.
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