Topolectrical circuit realization of topological corner modes

Topolectrical circuit realization of topological corner modes

Dated: July 2, 2019 | Stefan Imhof, Christian Berger, Florian Bayer, Johannes Brehm, Laurens Molenkamp, Tobias Kiessling, Frank Schindler, Ching Hua Lee, Martin Greiter, Titus Neupert, Ronny Thomale
This paper presents a topoelectrical circuit design to realize topological corner modes in two-dimensional systems. The authors propose a circuit with specific symmetries, including mirror symmetries and a chiral symmetry, to protect zero-dimensional topological corner states. These states are observed as boundary resonances in the circuit's impedance profile. The circuit is designed to mimic the quantum mechanical properties of electric quadrupole insulators, where the bulk quadrupole moment is quantized due to reflection symmetries. The classical topological properties are studied using linear circuit theory and topology, focusing on the circuit Laplacian and dynamical matrix. The authors demonstrate that the circuit supports topologically protected corner modes at specific corners, which are invariant under certain mirror symmetries. Experimental measurements confirm the existence of these corner modes, showing excellent agreement with theoretical predictions. The study bridges the gap between quantum theoretical modeling and experimental realization of topological band structures in classical systems.This paper presents a topoelectrical circuit design to realize topological corner modes in two-dimensional systems. The authors propose a circuit with specific symmetries, including mirror symmetries and a chiral symmetry, to protect zero-dimensional topological corner states. These states are observed as boundary resonances in the circuit's impedance profile. The circuit is designed to mimic the quantum mechanical properties of electric quadrupole insulators, where the bulk quadrupole moment is quantized due to reflection symmetries. The classical topological properties are studied using linear circuit theory and topology, focusing on the circuit Laplacian and dynamical matrix. The authors demonstrate that the circuit supports topologically protected corner modes at specific corners, which are invariant under certain mirror symmetries. Experimental measurements confirm the existence of these corner modes, showing excellent agreement with theoretical predictions. The study bridges the gap between quantum theoretical modeling and experimental realization of topological band structures in classical systems.
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