Berlin 2024 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 28: Topology: Other Topics

TT 28.7: Vortrag

Dienstag, 19. März 2024, 11:15–11:30, H 3025

Non-Hermitian Physics in multi-terminal devices: topological ohmmeter — Viktor Könye^1,2, •Kyrylo Ochkan^1,2, Anastasiia Chyzhykova^1,3, Jan Carl Budich^2,4, Jeroen van den Brink^1,2,4, Ion Cosma Fulga^1,2, and Joseph Dufouleur^1,2 — ¹IFW Dresden, Deutschland — ²Würzburg-Dresden Cluster of Excellence ct.qmat — ³Taras Shevchenko National University of Kyiv — ⁴TU Dresden

We exploit the topological properties of non-Hermitian matrices to build a very sensitive ohmmeter. The ohmmeter is realized in a multi-terminal, linear electric circuit with a non-Hermitian conductance matrix, where the target resistance plays the role of the perturbation. We show that its relative accuracy increases exponentially with the number of terminals, and for large resistances outperforms a standard measurement by over an order of magnitude. This paves the way towards leveraging non-Hermitian conductance matrices in high-precision electronic sensing