Gapless Fermionic Systems as Phase-space Topological Insulators: Non-perturbative Results from Anomalies
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917946692993024 |
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| author | Hughes, Taylor L. Wang, Yuxuan |
| author_facet | Hughes, Taylor L. Wang, Yuxuan |
| contents | We present a theory unifying the topological responses and anomalies of various gapless fermion systems exhibiting Fermi surfaces, including those with Berry phases, and nodal structures, which applies beyond non-interacting limit. As our key finding, we obtain a general approach to directly relate gapless fermions and topological insulators in phase space, including first- and higher-order insulators. Using this relation we show that the low-energy properties and response theories for gapless fermionic systems can be directly obtained without resorting to microscopic details. Our results provide a unified framework for describing such systems using well-developed theories from the study of topological phases of matter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08744 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gapless Fermionic Systems as Phase-space Topological Insulators: Non-perturbative Results from Anomalies Hughes, Taylor L. Wang, Yuxuan Strongly Correlated Electrons Mesoscale and Nanoscale Physics High Energy Physics - Theory We present a theory unifying the topological responses and anomalies of various gapless fermion systems exhibiting Fermi surfaces, including those with Berry phases, and nodal structures, which applies beyond non-interacting limit. As our key finding, we obtain a general approach to directly relate gapless fermions and topological insulators in phase space, including first- and higher-order insulators. Using this relation we show that the low-energy properties and response theories for gapless fermionic systems can be directly obtained without resorting to microscopic details. Our results provide a unified framework for describing such systems using well-developed theories from the study of topological phases of matter. |
| title | Gapless Fermionic Systems as Phase-space Topological Insulators: Non-perturbative Results from Anomalies |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.08744 |