Non-Hermitian topological ohmmeter
Fuente:
arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916410102382592 |
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| author | Könye, Viktor Ochkan, Kyrylo Chyzhykova, Anastasiia Budich, Jan Carl Brink, Jeroen van den Fulga, Ion Cosma Dufouleur, Joseph |
| author_facet | Könye, Viktor Ochkan, Kyrylo Chyzhykova, Anastasiia Budich, Jan Carl Brink, Jeroen van den Fulga, Ion Cosma Dufouleur, Joseph |
| contents | Measuring large electrical resistances forms an essential part of common applications such as insulation testing, but suffers from a fundamental problem: the larger the resistance, the less sensitive a canonical ohmmeter is. Here we develop a conceptually different electronic sensor by exploiting the topological properties of non-Hermitian matrices, whose eigenvalues can show an exponential sensitivity to perturbations. The ohmmeter is realized in an multi-terminal, linear electric circuit with a non-Hermitian conductance matrix, where the target resistance plays the role of the perturbation. We inject multiple currents and measure a single voltage in order to directly obtain the value of the resistance. The relative accuracy of the device increases exponentially with the number of terminals, and for large resistances outperforms a standard measurement by over an order of magnitude. Our work paves the way towards leveraging non-Hermitian conductance matrices in high-precision sensing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_11367 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-Hermitian topological ohmmeter Könye, Viktor Ochkan, Kyrylo Chyzhykova, Anastasiia Budich, Jan Carl Brink, Jeroen van den Fulga, Ion Cosma Dufouleur, Joseph Mesoscale and Nanoscale Physics Measuring large electrical resistances forms an essential part of common applications such as insulation testing, but suffers from a fundamental problem: the larger the resistance, the less sensitive a canonical ohmmeter is. Here we develop a conceptually different electronic sensor by exploiting the topological properties of non-Hermitian matrices, whose eigenvalues can show an exponential sensitivity to perturbations. The ohmmeter is realized in an multi-terminal, linear electric circuit with a non-Hermitian conductance matrix, where the target resistance plays the role of the perturbation. We inject multiple currents and measure a single voltage in order to directly obtain the value of the resistance. The relative accuracy of the device increases exponentially with the number of terminals, and for large resistances outperforms a standard measurement by over an order of magnitude. Our work paves the way towards leveraging non-Hermitian conductance matrices in high-precision sensing. |
| title | Non-Hermitian topological ohmmeter |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2308.11367 |