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arXiv · 2508.13571

Realization and characterization of an all-bands-flat electrical lattice

Noah Lape·Simon Diubenkov·L. Q. English·P. G. Kevrekidis·Alexei Andreanov·Yeongjun Kim·Sergej Flach
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Abstract

We construct an electrical all-bands-flat (ABF) lattice and experimentally generate compact localized states (CLSs) therein. The lattice is a diamond (rhombic) chain and implemented as a network of capacitors and inductors, as well as voltage inverters (using operational amplifiers) in order to introduce a \(\pi\)-phase flux within each diamond. The network's normal modes split into three flat bands, and the corresponding CLSs can be excited in isolation via a two-node driving at the flat band frequencies. We also examine the role of the lattice edges and their interaction with the CLSs. Finally, we compare the experimental results to tight-binding predictions and obtain very good agreement. This analysis paves the way for further experimental implementations of ABF systems in electric networks, especially with an eye towards exploring their interplay with nonlinearity.

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Noah Lape, Simon Diubenkov, L. Q. English, P. G. Kevrekidis, Alexei Andreanov, Yeongjun Kim, Sergej Flach. 2025-08-19. Realization and characterization of an all-bands-flat electrical lattice. https://arxiv.org/abs/2508.13571

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