Wire construction of class DIII topological crystalline superconductors in two dimensions
Bingrui Peng, Hongming Weng, Chen Fang
DOI 10.1103/PhysRevB.106.174512 · Physical Review B
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Abstract
We present a unified framework to construct and classify topological crystalline superconductors (TCSCs). The building blocks are one-dimensional topological superconductors (TSCs) protected solely by on-site symmetries, which are arranged and glued by crystalline symmetries in real space. We call this real-space scheme “wire construction”, and we show its procedure can be formulated mathematically. For illustration, we treat TCSCs of Altland-Zirnbauer (AZ) class DIII protected by wallpaper group as well as layer group symmetries, with the resulting states by wire construction being TCSCs in two dimension. We also discuss how these real-space TCSCs by wire construction are characterized by anomalous boundary states. Our method provides a real-space picture for TCSCs versus momentum-space pictures.
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