Non-Hermitian topological ohmmeter

Measuring large electrical resistances is an essential part of common applications such as insulation testing, but it suffers from a fundamental problem: The larger the resistance, the less sensitive a canonical ohmmeter is. Here the authors use the topological properties of non-Hermitian matrices to design a multiple-current-source electrical circuit that functions as a highly precise ohmmeter. Both the sensitivity of the device and its signal-to-noise ratio increase exponentially as more and more current sources are included in the circuit, paving the way toward overcoming the intrinsic limitations of currently available measurement devices.

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Publication Details

Journal
Physical Review Applied
Published
2024-09-03
DOI
https://doi.org/10.1103/physrevapplied.22.l031001
Citations
13
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
article
Field-Weighted Citation Impact
4.05
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Non-Hermitian topological ohmmeter

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article en
13 citations

Abstract

Measuring large electrical resistances is an essential part of common applications such as insulation testing, but it suffers from a fundamental problem: The larger the resistance, the less sensitive a canonical ohmmeter is. Here the authors use the topological properties of non-Hermitian matrices to design a multiple-current-source electrical circuit that functions as a highly precise ohmmeter. Both the sensitivity of the device and its signal-to-noise ratio increase exponentially as more and more current sources are included in the circuit, paving the way toward overcoming the intrinsic limitations of currently available measurement devices.

Physical Review AppliedVol. 22(3)
Taras Shevchenko National University of Kyiv (UA), Leibniz Institute for Solid State and Materials Research (DE), Complexity, Topology and Dynamics in Quantum Matter (DE), Max Planck Institute for the Physics of Complex Systems (DE), Technische Universität Dresden (DE)
Openalex Percentile: Top 5%
Quantum Mechanics and Non-Hermitian Physics
4.05
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