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Anomalous Floquet topological phase in a lattice of LC resonators

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  • Sadeq Bahmani

    (Amirkabir University of Technology (Tehran Polytechnic))

  • Amir Nader Askarpour

    (Amirkabir University of Technology (Tehran Polytechnic))

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

Suggested Citation

  • Sadeq Bahmani & Amir Nader Askarpour, 2023. "Anomalous Floquet topological phase in a lattice of LC resonators," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(6), pages 1-11, June.
    • Handle: RePEc:spr:eurphb:v:96:y:2023:i:6:d:10.1140_epjb_s10051-023-00553-8
    DOI: 10.1140/epjb/s10051-023-00553-8
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    References listed on IDEAS

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    1. Mikael C. Rechtsman & Julia M. Zeuner & Yonatan Plotnik & Yaakov Lumer & Daniel Podolsky & Felix Dreisow & Stefan Nolte & Mordechai Segev & Alexander Szameit, 2013. "Photonic Floquet topological insulators," Nature, Nature, vol. 496(7444), pages 196-200, April.
    2. Youngsun Choi & Choloong Hahn & Jae Woong Yoon & Seok Ho Song, 2018. "Observation of an anti-PT-symmetric exceptional point and energy-difference conserving dynamics in electrical circuit resonators," Nature Communications, Nature, vol. 9(1), pages 1-6, December.
    3. Sebabrata Mukherjee & Alexander Spracklen & Manuel Valiente & Erika Andersson & Patrik Öhberg & Nathan Goldman & Robert R. Thomson, 2017. "Experimental observation of anomalous topological edge modes in a slowly driven photonic lattice," Nature Communications, Nature, vol. 8(1), pages 1-7, April.
    4. Tolga Dinc & Mykhailo Tymchenko & Aravind Nagulu & Dimitrios Sounas & Andrea Alu & Harish Krishnaswamy, 2017. "Synchronized conductivity modulation to realize broadband lossless magnetic-free non-reciprocity," Nature Communications, Nature, vol. 8(1), pages 1-9, December.
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