Berlin 2024 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 28: Topology: Other Topics
TT 28.7: Talk
Tuesday, March 19, 2024, 11:15–11:30, H 3025
Non-Hermitian Physics in multi-terminal devices: topological ohmmeter — Viktor Könye1,2, •Kyrylo Ochkan1,2, Anastasiia Chyzhykova1,3, Jan Carl Budich2,4, Jeroen van den Brink1,2,4, Ion Cosma Fulga1,2, and Joseph Dufouleur1,2 — 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
Keywords: ohmmeter; non-Hermitian systems; spectral sensitivity