Discrete spectrum of edge states in a two-dimensional topological insulator
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910890159243264 |
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| author | Milstein, A. I. Terekhov, I. S. |
| author_facet | Milstein, A. I. Terekhov, I. S. |
| contents | The interaction model of two electrons in the edge states of a two-dimensional topological insulator is investigated. Both solutions of the Schrödinger equation and solutions of the Bethe-Salpeter equation at different values of the Fermi energy are considered. It is shown that for the Bethe-Salpeter equation, which takes into account the existence of the Fermi surface, there is a discrete spectrum in the system of two electrons. This phenomenon does not appear in the case of the Schrödinger equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18390 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discrete spectrum of edge states in a two-dimensional topological insulator Milstein, A. I. Terekhov, I. S. Mesoscale and Nanoscale Physics The interaction model of two electrons in the edge states of a two-dimensional topological insulator is investigated. Both solutions of the Schrödinger equation and solutions of the Bethe-Salpeter equation at different values of the Fermi energy are considered. It is shown that for the Bethe-Salpeter equation, which takes into account the existence of the Fermi surface, there is a discrete spectrum in the system of two electrons. This phenomenon does not appear in the case of the Schrödinger equation. |
| title | Discrete spectrum of edge states in a two-dimensional topological insulator |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2503.18390 |