SFB Seminar

Topolectrical circuits 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 providing an extensive symmetry classi cation. We employ our approach on explicating several examples reaching from the Su-Schrie er-Heeger and the graphene honeycomb model over the implementation of the Chern state up to the realization of non-Hermitian physics in this classical environment.

[1] T. Hofmann, T. Helbig, C. H. Lee, M. Greiter, and R. Thomale, arXiv:1809.08687 (accepted for publication in Phys. Rev. Lett.).
[2] C. H. Lee, S. Imhof, C. Berger, F. Bayer, J. Brehm, L. W.Molenkamp, T. Kiessling, and R. Thomale, Communications Physics 1, 39 (2018).
[3] T. Helbig, T. Hofmann, C. H. Lee, R. Thomale, S. Imhof, L. W. Molenkamp, and T. Kiessling, Phys. Rev. B 99, 161114(R) (2019).
[4] C. H. Lee, T. Hofmann, T. Helbig, Y. Liu, X. Zhang, M. Greiter, and R. Thomale, arXiv:1904.10183.