Distributed Current Injection into a One-Dimensional Ballistic Edge Channel
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914125611794432 |
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| author | Moors, Kristof Wagner, Christian Soltner, Helmut Lüpke, Felix Tautz, F. Stefan Voigtländer, Bert |
| author_facet | Moors, Kristof Wagner, Christian Soltner, Helmut Lüpke, Felix Tautz, F. Stefan Voigtländer, Bert |
| contents | We generalize Landauer's theory of ballistic transport in a one-dimensional (1D) conductor to situations where charge carrier injection and extraction are not any more confined to electrodes at either end of the channel, but may occur along its whole length. This type of distributed injection is expected to occur from the two-dimensional (2D) bulk of, e.g., a quantum spin (or anomalous) Hall insulator to its topologically protected edge states. We apply our conceptual solution to the case of two metal electrodes contacting the 2D bulk, enabling us to derive criteria that discriminate ballistic from resistive edge channels in multi-terminal transport experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17995 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Distributed Current Injection into a One-Dimensional Ballistic Edge Channel Moors, Kristof Wagner, Christian Soltner, Helmut Lüpke, Felix Tautz, F. Stefan Voigtländer, Bert Mesoscale and Nanoscale Physics We generalize Landauer's theory of ballistic transport in a one-dimensional (1D) conductor to situations where charge carrier injection and extraction are not any more confined to electrodes at either end of the channel, but may occur along its whole length. This type of distributed injection is expected to occur from the two-dimensional (2D) bulk of, e.g., a quantum spin (or anomalous) Hall insulator to its topologically protected edge states. We apply our conceptual solution to the case of two metal electrodes contacting the 2D bulk, enabling us to derive criteria that discriminate ballistic from resistive edge channels in multi-terminal transport experiments. |
| title | Distributed Current Injection into a One-Dimensional Ballistic Edge Channel |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2502.17995 |