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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.25316 |
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| _version_ | 1866909815120330752 |
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| author | Guba, Zoltán Slager, Robert-Jan Upreti, Lavi K. Bzdušek, Tomáš |
| author_facet | Guba, Zoltán Slager, Robert-Jan Upreti, Lavi K. Bzdušek, Tomáš |
| contents | Recently, novel crystalline constructions known as Cayley-Schreier lattices have been suggested as a platform for realizing arbitrary gauge fields in synthetic crystals with real hopping amplitudes. We show that Cayley-Schreier lattices can naturally give rise to implementable lattice systems that incorporate non-Abelian gauge structures transforming into a space-group symmetry. We show that the symmetry sectors can, moreover, be interpreted as blocks of spin models that can effectively realize a wealth of different topological invariants in a single setup. We underpin these general results with concrete models and show how they can be implemented in current experimental platforms. Our work sets the stage for a systematic investigation of topological insulators and metals with non-Abelian gauge structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_25316 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological non-Abelian Gauge Structures in Cayley-Schreier Lattices Guba, Zoltán Slager, Robert-Jan Upreti, Lavi K. Bzdušek, Tomáš Mesoscale and Nanoscale Physics Mathematical Physics Recently, novel crystalline constructions known as Cayley-Schreier lattices have been suggested as a platform for realizing arbitrary gauge fields in synthetic crystals with real hopping amplitudes. We show that Cayley-Schreier lattices can naturally give rise to implementable lattice systems that incorporate non-Abelian gauge structures transforming into a space-group symmetry. We show that the symmetry sectors can, moreover, be interpreted as blocks of spin models that can effectively realize a wealth of different topological invariants in a single setup. We underpin these general results with concrete models and show how they can be implemented in current experimental platforms. Our work sets the stage for a systematic investigation of topological insulators and metals with non-Abelian gauge structures. |
| title | Topological non-Abelian Gauge Structures in Cayley-Schreier Lattices |
| topic | Mesoscale and Nanoscale Physics Mathematical Physics |
| url | https://arxiv.org/abs/2509.25316 |