Topological nodal states in circuit lattice

Abstract

The search for artificial structure with tunable topological properties is an interesting research direction of today's topological physics. Here, we introduce a scheme to realize `topological semimetal states' with a three-dimensional periodic inductor-capacitor (LC) circuit lattice, where the topological nodal-line state and Weyl state can be achieved by tuning the parameters of inductors and capacitors. A tight-binding-like model is derived to analyze the topological properties of the LC circuit lattice. The key characters of the topological states, such as the drumhead-like surface bands for nodal-line state and the Fermi-arc-like surface bands for Weyl state, are found in these systems. We also show that the Weyl points are stable with the fabrication errors of electric devices.

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References in corpus (25)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Photonics
• Topological Photonics
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Analogs of quantum Hall effect edge states in photonic crystals
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Topological nodal line semimetals
• Static non-reciprocity in mechanical metamaterials
• Topological modes bound to dislocations in mechanical metamaterials
• Topological properties of linear circuit lattices
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Double-Weyl phonons in transition-metal monosilicides
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Weyl Metals
• Nonlinear conduction via solitons in a topological mechanical insulator
• Experimental discovery of nodal chains
• Topological semimetals and topological insulators in rare earth monopnictides
• Topological Zak Phase in Strongly-Coupled LC Circuits
• Topological phonon modes in filamentous structures
• Exploring topological double-Weyl semimetals with cold atoms in optical lattices
• Topological Node-Lines in Mechanical Metacrystals
• Generating electromagnetic modes with fine tunable orbital angular momentum by planar topological circuits

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• Non-Abelian braiding of Majorana-like edge states and topological quantum computations in electric circuits
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