Regensburg 2019 – scientific programme
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HL: Fachverband Halbleiterphysik
HL 5: Topological insulators
HL 5.7: Talk
Monday, April 1, 2019, 11:00–11:15, H36
Topological band structures in electrical circuits — •Tobias Hofmann1, Tobias Helbig1, Ching Hua Lee2,3, Martin Greiter1, and Ronny Thomale1 — 1Institute for Theoretical Physics and Astrophysics, University of Würzburg, Am Hubland, 97074 Würzburg, Germany — 2Institute of High Performance Computing, A*STAR, Singapore, 138632 — 3Department of Physics, National University of Singapore, Singapore, 117542
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 classification. We employ our approach on explicating several examples reaching from the Su-Schrieffer-Heeger and the graphene model over the implementation of the Chern state up to the realization of non-Hermitian physics in this classical environment.