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 nodal 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.
Highlights
There is great interest in realizing topological states in various platforms
If the space inversion symmetry of the circuit system is removed, the continuous nodal line may be degenerated to discrete Weyl points [25]
We report that the topological nodal line state and Weyl state can be realized in a three-dimensional classical circuit system
Summary
There is great interest in realizing topological states in various platforms. Topological states, including the quantum Hall states, quantum spin Hall states, Dirac states, Weyl states, and nodal line states, have achieved significant progresses in electronic materials [1–12], cold atoms [13– 22], photonics [23–29], phononics [30–36], and mechanical systems [37–47]. The topological properties in electric circuit system have been explored in several works [48–53]. The quantum spin Hall-like states have been proposed in two-dimensional circuit lattice via timereversal symmetric Hofstadter model [48, 49]. The Weyl state has been found in three-dimensional circuit network and proposed to be able to be detected from the boundary resonant signal [51]. The topological Zak phase is discussed in the one-dimensional SSH-type circuit lattice [52]. These proposed electric circuits are composed of interconnected linear lossless passive elements, such as capacitors and inductors. The significant advantages of the circuit lattice are that the parameters of the system are independently artificial adjustable and the symmetry of the lattice is protected by the parameters of electronic components and the way they are connected, rather than their positions in the real space
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
