Topological Edge States Emerging from Twisted Moiré Bands
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914516088913920 |
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| author | Saleem, Yasser Potasz, Paweł Dyrdał, Anna Trauzettel, Björn Hankiewicz, Ewelina M. |
| author_facet | Saleem, Yasser Potasz, Paweł Dyrdał, Anna Trauzettel, Björn Hankiewicz, Ewelina M. |
| contents | We study twisted bilayer WSe$_2$ within a continuum moiré model and introduce a method for treating finite geometries directly in the continuum framework, overcoming limitations associated with momentum-space formulations and Wannier obstructions. By projecting a confinement potential onto bulk moiré eigenstates, we obtain a real-space description of edge physics without lattice models. Applying this approach to nanoribbons, we demonstrate chiral edge modes consistent with bulk Chern numbers and reveal their moiré-scale character. In the magic-angle regime, these states are strongly localized, exhibit layer-polarized counter-propagating modes, and are electrically tunable via a displacement field, enabling control of localization, hybridization, and topological transitions. Our results establish a general framework for boundary physics in topological moiré materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19929 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Topological Edge States Emerging from Twisted Moiré Bands Saleem, Yasser Potasz, Paweł Dyrdał, Anna Trauzettel, Björn Hankiewicz, Ewelina M. Mesoscale and Nanoscale Physics We study twisted bilayer WSe$_2$ within a continuum moiré model and introduce a method for treating finite geometries directly in the continuum framework, overcoming limitations associated with momentum-space formulations and Wannier obstructions. By projecting a confinement potential onto bulk moiré eigenstates, we obtain a real-space description of edge physics without lattice models. Applying this approach to nanoribbons, we demonstrate chiral edge modes consistent with bulk Chern numbers and reveal their moiré-scale character. In the magic-angle regime, these states are strongly localized, exhibit layer-polarized counter-propagating modes, and are electrically tunable via a displacement field, enabling control of localization, hybridization, and topological transitions. Our results establish a general framework for boundary physics in topological moiré materials. |
| title | Topological Edge States Emerging from Twisted Moiré Bands |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2604.19929 |