Topological band structures in electric circuits

ORAL

Abstract

Topolectrical circuits [C.H. Lee at al., Comm. Phys. 1,39] present themselves as a platform to investigate fundamental topological states of matter realized in classical synthetic crystals. The manifold degrees of freedom unfolding as lattice connectivity and parameter choice in electric networks enable the implementation of arbitrary tight-binding models. We report on the design, measurement and engineering of admittance band structures in periodic circuits [T. Helbig, T. Hofmann et al., arXiv:1807.09555v1] providing an extensive symmetry classification. Furthermore, we review the effect of individual constituents on the presence of global symmetries. We employ our approach on explicating several examples reaching from the Su-Schrieffer-Heeger and the graphene model over the implementation of a Chern state [T. Hofmann, T. Helbig et al., arXiv:1809.08687v2] up to the realization of non-Hermitian physics in this classical environment.

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

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Presenters

  • Tobias Helbig

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

Authors

  • Tobias Helbig

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

  • Tobias Hofmann

    • 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