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Chiral Edge States Emerging on Anyon-Net

by Atsushi Ueda, Kansei Inamura, Kantaro Ohmori

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: Ueda, Atsushi
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
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.

Current status:
Accepted in target Journal

Editorial decision: For Journal SciPost Physics Core: Publish
(status: Editorial decision fixed and (if required) accepted by authors)

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