Photonic Dirac Nodal Line Semimetals Realized by Hyper-crystal

Abstract

Recently, the gapless Dirac/Weyl nodal semimetals with linear dispersion and topologically protected modes degeneracy are rapidly growing frontiers of topological physics. Especially, type-I, type-II, and critical type-III nodal semimetals are discovered according to the tilt angles of the Dirac/Weyl cones. Here, by introducing hyperbolic metamaterials into one-dimensional photonic crystals, we design the "hyper-crystal" and study the photonic four-fold degenerate Dirac nodal line semimetals (DNLSs) with two types of perpendicularly polarized waves. Moreover, the flexibly controlled photonic DNLSs using the phase compensation effect of hyperbolic dispersion are studied. Our results not only demonstrate a new platform to realize the various photonic DNLSs, where the optical polarization plays the role of electron spin in electronic DNLSs, but also may pave a novel way to explore the abundant Dirac/Weyl physics in the simple classical wave systems.

31 pages, 14 figures

References in corpus (11)

• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Potential ring of Dirac nodes in a new polymorph of Ca${}_3$P${}_2$
• Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
• Topological delocalization of two-dimensional massless Dirac fermions
• Probing rotated Weyl physics on nonlinear lithium niobate-on-insulator chips
• Double-bowl State in photonic Dirac nodal line semimetal
• Quantum dots formed in three-dimensional Dirac semimetal Cd${}_3$As${}_2$ nanowires
• Effective medium theory for photonic pseudospin-1/2 system
• Realization of a transition between type-I and type-II Dirac semimetals in monolayers