Band structure engineering and reconstruction in electric circuit networks
Abstract
We develop an approach to design, engineer, and measure band structures in a synthetic crystal composed of electric circuit elements. Starting from the nodal analysis of a circuit lattice in terms of currents and voltages, our Laplacian formalism for synthetic matter allows us to investigate arbitrary tight-binding models in terms of wave number resolved Laplacian eigenmodes, yielding an admittance band structure of the circuit. For illustration, we model and measure a honeycomb circuit featuring a Dirac cone admittance bulk dispersion as well as flat band admittance edge modes at its bearded and zigzag terminations. We further employ our circuit band analysis to measure a topological phase transition in the topolectrical Su-Schrieffer-Heeger circuit.
Cite
@article{arxiv.1807.09555,
title = {Band structure engineering and reconstruction in electric circuit networks},
author = {Tobias Helbig and Tobias Hofmann and Ching Hua Lee and Ronny Thomale and Stefan Imhof and Laurens W. Molenkamp and Tobias Kiessling},
journal= {arXiv preprint arXiv:1807.09555},
year = {2019}
}
Comments
4+e pages, 4 pages supplement, 5 figures