Abstract
Topological photonics have developed in recent years since the seminal discoveries of topological insulators in condensed matter physics for electrons. Among the numerous studies, photonic Weyl nodes have been studied very recently due to their intriguing surface Fermi arcs, Chiral zero modes and scattering properties. In this article, we propose a new design of an ideal photonic Weyl node metacrystal, meaning no excessive states are present at the Weyl nodes’ frequency. The Weyl node is stabilized by the screw rotation symmetry of space group 19. Group theory analysis is utilized to reveal how the Weyl nodes are spawned from line nodes in a higher symmetry metacrystal of space group 61. The minimum four Weyl nodes’ complex for time reversal invariant systems is found, which is a realistic photonic Weyl node metacrystal design compatible with standard printed circuit board techniques and is a complement to the few existing ideal photonic Weyl node designs and could be further utilized in studies of Weyl physics, for instance, Chiral zero modes and scatterings.
Highlights
Weyl nodes (WN) are linear band crossings existing in odd dimensions [1,2,3]
Since the line node (LN) is due to an accidental degeneracy that resides on the high symmetry line/plane, the two bands consisting of LN degeneracy are expected to belong to different irreducible group representations
The Fermi arcs are illustrated by the magenta and red lines that are residing on the top and the bottom surfaces, respectively
Summary
Weyl nodes (WN) are linear band crossings existing in odd dimensions [1,2,3]. Three dimensional. WN hold a quantized topological index, Chern number, of ±1. Due to the stability of the topological index, WN are extremely tolerant to disorders and can be gapped only by the coalesce and annihilation between WN with opposite Chern numbers. Topological nodes beyond WN [19], for instance, Dirac points [20,21,22,23,24,25,26], spin-1, spin-2/3. Group theory analysis shows that the WN are stabilized by screw rotation symmetry in space group (SG) 19, and are spawned from ideal line nodes (LN) in SG 61. Fermi arcs connecting WN with opposite Chern numbers are found
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