Anomalous Floquet topological phase in a lattice of LC resonators

Sadeq Bahmani and Amir Nader Askarpour ()
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Sadeq Bahmani: Amirkabir University of Technology (Tehran Polytechnic)
Amir Nader Askarpour: Amirkabir University of Technology (Tehran Polytechnic)

The European Physical Journal B: Condensed Matter and Complex Systems, 2023, vol. 96, issue 6, 1-11

Abstract: Abstract Periodically driven systems provide a new platform for studying and realizing novel topological phases of matter that cannot be observed in static systems. These so-called anomalous Floquet topological insulators support topologically protected edge states, despite having zero Chern number bands. Here, we propose a circuit realization of an anomalous Floquet topological insulator. Based on a simple model, we designed a lattice of inductors and capacitors connected through electrical switches. We cast the governing equations of the circuit in the form of a Schrodinger-like equation and implement the Hamiltonian of an anomalous Floquet topological insulator by the circuit. Using a current source for excitation, the propagation of the topological edge state in the circuit is analyzed. Graphical abstract A lattice of inductors and capacitors with an appropriate switching scheme produces an anomalous Floquet topological insulator

Date: 2023
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DOI: 10.1140/epjb/s10051-023-00553-8

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