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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.14217 |
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| _version_ | 1866909996037439488 |
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| author | Fünfhaus, Axel Neupert, Titus Kopp, Thilo Valentí, Roser |
| author_facet | Fünfhaus, Axel Neupert, Titus Kopp, Thilo Valentí, Roser |
| contents | Integer and fractional Chern insulators exhibit a nonzero quantized anomalous Hall conductivity due to a spontaneous breaking of time reversal symmetry. To identify nontrivial topology in their time-reversal symmetric many-body spectra, we introduce many-body Euler numbers as a counterpart to many-body Chern numbers. Exemplarily, we perform calculations in a topological Hubbard model that can realize Chern and fractional Chern insulating phases. Furthermore, we lay out a classification scheme to realize different topological phases in interacting systems using symmetry indicators in analogy to topological band theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14217 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Many-body Euler topology Fünfhaus, Axel Neupert, Titus Kopp, Thilo Valentí, Roser Strongly Correlated Electrons Integer and fractional Chern insulators exhibit a nonzero quantized anomalous Hall conductivity due to a spontaneous breaking of time reversal symmetry. To identify nontrivial topology in their time-reversal symmetric many-body spectra, we introduce many-body Euler numbers as a counterpart to many-body Chern numbers. Exemplarily, we perform calculations in a topological Hubbard model that can realize Chern and fractional Chern insulating phases. Furthermore, we lay out a classification scheme to realize different topological phases in interacting systems using symmetry indicators in analogy to topological band theory. |
| title | Many-body Euler topology |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2601.14217 |