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arXiv · 1804.05381

Emergence of topological phases from the extension of two-dimensional lattice with nonsymmorphic symmetries

Pok-Man Chiu·Cheng-Yi Huang·Wan-Ju Li·Ting-Kuo Lee
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Abstract

Young and Kane have given a great insight for 2D Dirac semimetals with nontrivial topology in the presence of nonsymmorphic crystalline symmetry. Based on one of 2D nonsymmorphic square lattice structures they proposed, we further construct a set of 3D minimal tight-binding models via vertically stacking the 2D nonsymmorphic lattice. Specifically, our model provides a platform to generate three topologically semimetallic phases such as Dirac nodal line semimetals, Weyl nodal line semimetals and Weyl semimetals. The off-centered mirror symmetry sufficiently protects nodal lines emerging within mirror-invariant plane with a nontrivial mirror invariant $n_{M\mathbb{Z}}$, whereas twofold screw rotational symmetry protects nontrivial Weyl nodal points with topological charge $C=2$. Interestingly, Weyl nodal loops are generated without mirror symmetry protection, where nontrivial "drumhead" surface states emerge within loops. In the presence of both time-reversal and inversion symmetries, the emergence of weak topological insulator phases is discussed as well.

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Pok-Man Chiu, Cheng-Yi Huang, Wan-Ju Li, Ting-Kuo Lee. 2018-04-15. Emergence of topological phases from the extension of two-dimensional lattice with nonsymmorphic symmetries. https://doi.org/10.1088/1361-648x/aaf040

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