Berlin 2024 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 57: Topology: Poster

TT 57.19: Poster

Wednesday, March 20, 2024, 15:00–18:00, Poster E

Non-Hermitian topological ohmmeter — Viktor Könye^{1, 2}, Kyrylo Ochkan^{1, 2}, •Anastasiia Chyzhykova^{1, 3}, Jan Carl Budich^{4, 2}, Jeroen van den Brink^{1, 2, 4}, Ion Cosma Fulga^{1, 2}, and Joseph Dufouleur^{1, 2} — ¹Leibniz Institute for Solid State and Materials Research, IFW Dresden, Helmholtzstrasse 20, 01069 Dresden, Germany — ²Würzburg-Dresden Cluster of Excellence ct.qmat, 01062 Dresden, Germany — ³Taras Shevchenko National University of Kyiv, Volodymyrska Street 60, 01033 Kyiv, Ukraine — ⁴Department of Physics, TU Dresden, 01062 Dresden, Germany

We introduce and experimentally implement a groundbreaking electronic ohmmeter that capitalizes on the unique properties of non-Hermitian matrices, specifically their spectral sensitivity. Notably, the precision of our multi-terminal device, characterized by a non-Hermitian conductance matrix, increases exponentially with the number of terminals. We demonstrate its superiority over a standard measurement, achieving precision levels exceeding an order of magnitude. Our findings not only represent a significant advancement in addressing the critical challenge of accurately measuring large resistances but also establish a broader framework for leveraging the timely and interdisciplinary field of non-Hermitian topology in the domain of high-precision sensing.

Keywords: Non-Hermitian; Topology; Topoelectric curcuits; Sensor