Dresden 2020 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 49: Topolectric Circuits and Quantum Hall Systems

TT 49.3: Vortrag

Mittwoch, 18. März 2020, 17:45–18:00, HSZ 103

The Chern state in electric circuits — •Hendrik Hohmann1, Tobias Helbig1, Tobias Hofmann1, Alexander Stegmaier1, Ching Hua Lee2,3, Martin Greiter1, and Ronny Thomale11Institut für Theoretische Physik und Astrophysik, Universität Würzburg, 97074 Würzburg — 2Department of Physics, National University of Singapore, Singapore 117542 — 3Institute of High Performance Computing, A*STAR, Singapore 138632

Topolectrical circuits present themselves as a versatile platform to investigate topological states of matter realized in a classical environment. Among them, the Chern insulator is commonly viewed as the most fundamental one, because it solely relies upon its non-trivial band topology and does not require additional symmetries. The combined breaking of reciprocity and time-reversal symmetry (TRS) as well as minimizing dissipation effects signify the central challenges of a Chern state realization in classical setups. In a passive realization, the breaking of TRS can be circumvented by creating a doubled copy of Chern bands [V. Albert et al., Phys. Rev. Lett. 114, 173902]. In contrast, the inclusion of active components allows for a nontrivial topological band structure in direct analogy to the Haldane model [T. Hofmann, T. Helbig et al., Phys. Rev. Lett. 122, 247702]. The hallmark of the active Chern state realization is its support of unidirectionally propagating voltage modes at its boundary.

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