TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.8.3.062
TI  - Chiral edge states emerging on anyon-net
PY  - 2025/09/30
UR  - https://www.scipost.org/SciPostPhysCore.8.3.062
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 8
IS  - 3
SP  - 062
A1  - Ueda, Atsushi
AU  - Inamura, Kansei
AU  - Ohmori, Kantaro
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysCore.8.3.062,
	title={{Chiral edge states emerging on anyon-net}},
	author={Atsushi Ueda and Kansei Inamura and Kantaro Ohmori},
	journal={SciPost Phys. Core},
	volume={8},
	pages={062},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.8.3.062},
	url={https://scipost.org/10.21468/SciPostPhysCore.8.3.062},
}