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Crystallographic splitting theorem for band representations and fragile topological photonic crystals
A. Alexandradinata, J. Höller, Chong Wang +2
The fundamental building blocks in band theory are band representations (BRs): bands whose infinitely-numbered Wannier functions are generated (by action of a space group) from a f…
Nodal-knot semimetals
Ren Bi, Zhongbo Yan, Ling Lu +1
Topological nodal-line semimetals are characterized by one-dimensional lines of band crossing in the Brillouin zone. In contrast to nodal points, nodal lines can be in topologicall…
Nodal-link semimetals
Zhongbo Yan, Ren Bi, Huitao Shen +3
In topological semimetals, the valence band and conduction band meet at zero-dimensional nodal points or one-dimensional nodal rings, which are protected by band topology and symme…
Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
Ren Bi, Zhongbo Yan, Ling Lu +1
Backscattering-immune chiral modes arise along certain line defects in three-dimensional materials. In this paper, we study Floquet chiral modes along Floquet topological defects,…