Impedance spectroscopy of chiral symmetric topoelectrical circuits
Selma Franca, Torsten Seidemann, Fabian Hassler, Jeroen van den Brink, Ion Cosma Fulga
Abstract
While topoelectrical circuits are a successful tool for realizing various topological phases of matter, experiments mostly focus on detecting topological boundary phenomena originating from an underlying circuit Laplacian. Here, the authors introduce appropriate signal processing techniques that allow the recovery of the full spectrum of the chiral symmetric system from a single two-point impedance measurement. The robustness of these techniques is demonstrated by constructing the Fibonacci topoelectrical circuit for the first time, suggesting that topoelectrical circuits are an ideal metamaterial platform for studying different properties of quasi(crystalline) systems.