Haldane Circuit

ORAL

Abstract

We propose an implementation of the Chern state in a topolectrical circuit network, featuring topologically protected, unidirectional propagation of voltage packages at its boundary [T. Hofmann, T. Helbig, et al., arxiv:1809.08687]. Recently, electric circuit arrays have been established as an easily accessible and tunable environment to host synthetic topological states of matter [C. H. Lee, et al., Comm. Phys. 1, 39; T. Helbig, T. Hofmann, et al., arxiv:1807.09555]. The breaking of reciprocity and time-reversal symmetry as well as minimizing dissipation effects constitute the central challenges arising in a circuit realization of the Chern state. In this talk, we present operational amplifiers in a negative-impedance converter configuration as the key component to master these challenges. We report on our results of a dissipation-corrected circuit implementation of the Haldane model.

*This work is supported by ERC-StG-TOPOLECTRICS-336012 and DFG-SFB 1170 (Project B04).

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Presenters

  • Tobias Hofmann

    • Institute for Theoretical Physics and Astrophysics, University of Wuerzburg
    • Institute for Theoretical Physics and Astrophysics, University Wuerzburg

Authors

  • Tobias Hofmann

    • Institute for Theoretical Physics and Astrophysics, University of Wuerzburg
    • Institute for Theoretical Physics and Astrophysics, University Wuerzburg

  • Tobias Helbig

    • Institute for Theoretical Physics and Astrophysics, University of Wuerzburg
    • Institute for Theoretical Physics and Astrophysics, University Wuerzburg

  • Ching Hua Lee

    • Department of Physics, National University of Singapore
    • Department of Physics, National University of Singapure

  • Martin Greiter

    • Institute for Theoretical Physics and Astrophysics, University of Wuerzburg
    • Institute for Theoretical Physics and Astrophysics, University Wuerzburg

  • Ronny Thomale

    • Institute for Theoretical Physics and Astrophysics, University of Wuerzburg
    • University of Wurzburg
    • Institute for theoretical physics, University of Wuerzburg
    • Institute for Theoretical Physics and Astrophysics, University Wuerzburg
    • Institut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität Würzburg
    • Univ of Wuerzburg
    • Institute for Theoretical Physics and Astrophysics, University of Würzburg
    • Institute for Theoretical Physics, University of Wuerzburg
    • Univ of Wurzburg