Chiral Edge States Emerging on Anyon-Net
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908569448742912 |
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| author | Ueda, Atsushi Inamura, Kansei Ohmori, Kantaro |
| author_facet | Ueda, Atsushi Inamura, Kansei Ohmori, Kantaro |
| contents | We propose a symmetry-based approach to constructing lattice models for chiral topological phases, focusing on non-Abelian anyons. Using a 2+1D version of anyon chains and modular tensor categories(MTCs), we ensure exact MTC symmetry at the microscopic level. Numerical simulations using tensor networks demonstrate chiral edge modes for topological phases with Ising and Fibonacci anyons. Our method contrasts with conventional solvability approaches, providing a new theoretical avenue to explore strongly coupled 2+1D systems, revealing chiral edge states in non-Abelian anyonic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02724 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Chiral Edge States Emerging on Anyon-Net Ueda, Atsushi Inamura, Kansei Ohmori, Kantaro Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory We propose a symmetry-based approach to constructing lattice models for chiral topological phases, focusing on non-Abelian anyons. Using a 2+1D version of anyon chains and modular tensor categories(MTCs), we ensure exact MTC symmetry at the microscopic level. Numerical simulations using tensor networks demonstrate chiral edge modes for topological phases with Ising and Fibonacci anyons. Our method contrasts with conventional solvability approaches, providing a new theoretical avenue to explore strongly coupled 2+1D systems, revealing chiral edge states in non-Abelian anyonic systems. |
| title | Chiral Edge States Emerging on Anyon-Net |
| topic | Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.02724 |