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 the experimental realization of topological corner modes in a topolectrical circuit. The circuit is designed to mimic the quantum mechanical properties of a quantized electric quadrupole insulator, which is protected by reflection symmetries and a spectral symmetry. The corner modes appear as topological boundary resonances in the corner impedance profile of the circuit. The circuit is constructed using capacitors and inductors arranged in a two-dimensional lattice, with specific parameters chosen to ensure the topological protection of the corner modes. The circuit is tested experimentally, and the results show the presence of a topologically protected corner mode at the upper left corner, while no such mode is observed at the lower right corner. The experimental results are compared with theoretical predictions, showing excellent agreement. The study demonstrates that topolectrical circuits can be used to bridge the gap between quantum theoretical modeling and the experimental realization of topological band structures. The results highlight the importance of symmetry in protecting topological phases and provide a platform for studying the reflection symmetry-protected character of corner modes in detail. The paper also discusses the broader implications of classical topological systems and their potential for studying quantum phenomena in a classical context.This paper presents the experimental realization of topological corner modes in a topolectrical circuit. The circuit is designed to mimic the quantum mechanical properties of a quantized electric quadrupole insulator, which is protected by reflection symmetries and a spectral symmetry. The corner modes appear as topological boundary resonances in the corner impedance profile of the circuit. The circuit is constructed using capacitors and inductors arranged in a two-dimensional lattice, with specific parameters chosen to ensure the topological protection of the corner modes. The circuit is tested experimentally, and the results show the presence of a topologically protected corner mode at the upper left corner, while no such mode is observed at the lower right corner. The experimental results are compared with theoretical predictions, showing excellent agreement. The study demonstrates that topolectrical circuits can be used to bridge the gap between quantum theoretical modeling and the experimental realization of topological band structures. The results highlight the importance of symmetry in protecting topological phases and provide a platform for studying the reflection symmetry-protected character of corner modes in detail. The paper also discusses the broader implications of classical topological systems and their potential for studying quantum phenomena in a classical context.
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