Ideal type-II Weyl points in topological circuits

Abstract

Weyl points (WPs), as nodal degenerate points in three-dimensional (3D) momentum space, are ideal if they are symmetry-related, well-separated, residing at the same energy and far from the nontopological bands. Although type-II WPs show some unique features compared with type-I counterparts, ideal type-II WPs have not yet been reported due to the lack of an ideal Weyl system with enough flexibility to tilt the dispersion bands. By stacking two-dimensional (2D) layers of inductor-capacitor (LC) resonator dimers with the breaking of parity inversion symmetry, here we experimentally realize the topological circuits with only the topological bands and observe a minimal number of four ideal type-II WPs. Two hallmark features of type-II WPs: a strongly tilted band structure with two group velocities having the same sign near type-II WPs and the topological surface states in an incomplete bandgap have been demonstrated. Our results establish an ideal system to the further study of Weyl physics and provide a new perspective to the access of topological matters.

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• Non-Abelian inverse Anderson transitions
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• Single Pair of Weyl Points in Nonmagnetic Crystals
• Experimental realization of two-dimensional weak topological insulators
• Probing rotated Weyl physics on nonlinear lithium niobate-on-insulator chips
• Exploring topological phase transition andWeyl physics in five dimensions with electric circuits
• Valley Hall edge solitons in a photonic graphene
• Engineering topological states and quantum-inspired information processing using classical circuits
• Topolectrical-circuit realization of quadrupolar surface semimetals
• Observation of Single Pair of Type-III Weyl Points in Sonic Crystals
• Ideal type-II Weyl points in twisted one-dimensional dielectric photonic crystals
• Self-localized topological states in three dimensions
• Floquet topological insulators with hybrid edges
• Dark solitons in nonlinear Su-Schrieffer-Heeger lattices
• Non-Hermitian Higher-Order Weyl Semimetals