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.

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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