Coupled-layer description of topological crystalline insulators

Abstract

We introduce a coupled-layer construction to describe three-dimensional topological crystalline insulators protected by reflection symmetry. Our approach uses stacks of weakly-coupled two-dimensional Chern insulators to produce topological crystalline insulators in one higher dimension, with tunable number and location of surface Dirac cones. As an application of our formalism, we turn to a simplified model of topological crystalline insulator SnTe, showing that its protected surface states can be described using the coupled layer construction.

arXiv comment11 pages, 6 figures. This is the final, published version

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Cited by in corpus (26)

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• Quantitative mappings between symmetry and topology in solids
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• Constructing higher-order topological states in higher dimension
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