Moiré circuits: engineering magic-angle behaviors

Abstract

Moiré superlattices in the twisted bilayer graphene provide an unprecedented platform to investigate a wide range of exotic quantum phenomena. Recently, the twist degree of freedom has been introduced into various classical wave systems, giving rise to new ideas for the wave control. The question is whether twistronics and moiré physics can be extended to electronics with potential applications in the twist-enabled signal processing. Here, we demonstrate both in theory and experiment that lots of fascinating moiré physics can be engineered using electric circuits with extremely high degrees of freedom. By suitably designing the interlayer coupling and biasing of one sublattice for the twisted bilayer circuit, the low-energy flat bands with large bandgaps away from other states can be realized at various twist angles. Based on the moiré circuit with a fixed twist angle, we experimentally demonstrate the effect of band narrowing as well as the localization of electric energy when a magic value of the interlayer coupling is applied. Furthermore, the topological edge states, which originate from the moiré potential induced pseudomagnetic field, are also observed for the first time. Our findings suggest a flexible platform to study twistronics beyond natural materials and other classical wave systems, and may have potential applications in the field of intergraded circuit design.

16 pages, 5 figures

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• Observation of Moiré Excitons in WSe2/WS2 Heterostructure Superlattices
• Flat Bands in Slightly Twisted Bilayer Graphene
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Cited by in corpus (5)

• Moire quasi-bound states in the continuum
• Observation of flat-band localization and topological edge states induced by effective strong interactions in electrical circuit networks
• Topolectrical-circuit realization of quadrupolar surface semimetals
• Engineering topological states and quantum-inspired information processing using classical circuits
• Efficient high harmonic generation in nonlinear photonic moiré superlattice