SciPost Submission Page
Chiral Edge States Emerging on Anyon-Net
by Atsushi Ueda, Kansei Inamura, Kantaro Ohmori
Submission summary
| Authors (as registered SciPost users): | Atsushi Ueda |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2408.02724v2 (pdf) |
| Date submitted: | 2024-08-26 10:49 |
| Submitted by: | Ueda, Atsushi |
| 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.
Author indications on fulfilling journal expectations
- Address an important (set of) problem(s) in the field using appropriate methods with an above-the-norm degree of originality
- Detail one or more new research results significantly advancing current knowledge and understanding of the field.
Current status:
In refereeing