Discovering topological surface states of Dirac points

Abstract

Dirac materials, unlike the Weyl materials, have not been found in experiments to support intrinsic topological surface states, as the surface arcs in existing systems are unstable against symmetry-preserving perturbations. Utilizing the proposed glide and time-reversal symmetries, we theoretically design and experimentally verify an acoustic crystal of two frequency-isolated three-dimensional Dirac points with $Z_2$ monopole charges and four gapless helicoid surface states.

arXiv comment14 pages, 8 figures, 5 tables

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Cited by in corpus (15)

• Topological acoustics
• Spin-group symmetry in magnetic materials with negligible spin-orbit coupling
• Higher-order Dirac sonic crystals
• Higher-order Dirac Semimetal in a Photonic Crystal
• Photonic ${\mathbb{Z}}_2$ topological Anderson insulators
• Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP
• Location and topology of the fundamental gap in photonic crystals
• Double-bowl State in photonic Dirac nodal line semimetal
• Monopole topological resonators
• $Z_2$ Dirac points with topologically protected multihelicoid surface states
• Parallel and anti-parallel helical surface states for topological semimetals
• Theoretical analysis of glide-Z_2 magnetic topological photonic crystals
• Efficient algorithms for surface density of states in topological photonic and acoustic systems
• Synchronized in-gap edge states and robust copropagation in topological insulators without magnetic flux
• Surface density-of-states on semi-infinite topological photonic and acoustic crystals