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Chiral Edge States Emerging on Anyon-Net
by Atsushi Ueda, Kansei Inamura, Kantaro Ohmori
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Submission summary
| Authors (as registered SciPost users): | Kansei Inamura · Kantaro Ohmori · Atsushi Ueda |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2408.02724v4 (pdf) |
| Date accepted: | June 12, 2025 |
| Date submitted: | May 13, 2025, 9:57 a.m. |
| Submitted by: | Atsushi Ueda |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
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.
Published as SciPost Phys. Core 8, 062 (2025)