Topological bands in metals
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911631590555648 |
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| author | Kudasov, Yu. B. |
| author_facet | Kudasov, Yu. B. |
| contents | In crystalline systems with a superstructure, the electron dispersion can form a nontrivial covering of the Brillouin zone. It is proved that the number of sheets in this covering and its monodromy are topological invariants under ambient isotopy. As a concrete manifestation of this nontrivial topology, we analyze three-sublattice models for 120$^\circ$-ordered helimagnets in one, two, and three dimensions. The two-dimensional system exhibits unconventional $f$-wave magnetism and a specific topological metal state characterized by a spin-textured, one-sheeted Fermi surface. The observable transport signatures of the topological metal and its potential experimental realization are briefly discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_14784 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological bands in metals Kudasov, Yu. B. Other Condensed Matter In crystalline systems with a superstructure, the electron dispersion can form a nontrivial covering of the Brillouin zone. It is proved that the number of sheets in this covering and its monodromy are topological invariants under ambient isotopy. As a concrete manifestation of this nontrivial topology, we analyze three-sublattice models for 120$^\circ$-ordered helimagnets in one, two, and three dimensions. The two-dimensional system exhibits unconventional $f$-wave magnetism and a specific topological metal state characterized by a spin-textured, one-sheeted Fermi surface. The observable transport signatures of the topological metal and its potential experimental realization are briefly discussed. |
| title | Topological bands in metals |
| topic | Other Condensed Matter |
| url | https://arxiv.org/abs/2510.14784 |