Layered Topological Crystalline Insulators

Abstract

Topological crystalline insulators (TCIs) are insulating materials whose topological property relies on generic crystalline symmetries. Based on first-principles calculations, we study a three-dimensional (3D) crystal constructed by stacking two-dimensional TCI layers. Depending on the inter-layer interaction, the layered crystal can realize diverse 3D topological phases characterized by two mirror Chern numbers (MCNs) (${\mu }_1,{\mu }_2$) defined on inequivalent mirror-invariant planes in the Brillouin zone. As an example, we demonstrate that new TCI phases can be realized in layered materials such as a PbSe (001) monolayer/h-BN heterostructure and can be tuned by mechanical strain. Our results shed light on the role of the MCNs on inequivalent mirror-symmetric planes in reciprocal space and open new possibilities for finding new topological materials.

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Cited by in corpus (11)

• Wallpaper Fermions and the Nonsymmorphic Dirac Insulator
• A two-leg Su-Schrieffer-Heeger chain with glide reflection symmetry
• Classification of topological crystalline insulators based on representation theory
• Coupled-layer description of topological crystalline insulators
• Two-dimensional Square Buckled Rashba Lead Chalcogenides
• Topological, Valleytronic, and Optical Properties of Monolayer PbS
• Strain Engineering of Spin and Rashba properties in Group-III Monochalcogenide MX (M=Ga, In and X=S, Se, Te) Monolayer
• Anomalous Floquet topological crystalline insulators
• Topological crystalline insulators from stacked graphene layers
• Effects of first- and second-order topological phases on equilibrium crystal shapes
• Mirror Chern numbers in the hybrid Wannier representation