TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.5.105
TI  - Network construction of non-Abelian chiral spin liquids
PY  - 2023/05/10
UR  - https://scipost.org/SciPostPhys.14.5.105
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 5
SP  - 105
A1  - Xavier, Hernan
AU  - Chamon, Claudio
AU  - Pereira, Rodrigo G.
AB  - We use a network of chiral junctions to construct a family of topological chiral spin liquids in two spatial dimensions. The chiral spin liquid phase harbors SU(2)$_k$ anyons, which stem from the underlying SU(2)$_k$ WZW models that describe the constituent spin chains of the network. The network exhibits quantized spin and thermal Hall conductances. We illustrate our construction by inspecting the topological properties of the SU(2)$_2$ model. We find that this model has emergent Ising anyons, with spinons acting as vortex excitations that bind Majorana zero modes. We also show that the ground state of this network is threefold degenerate on the torus, asserting its non-Abelian character. Our results shed new light on the stability of non-Abelian topological phases in artificial quantum materials.
ER  -

@Article{10.21468/SciPostPhys.14.5.105,
	title={{Network construction of non-Abelian chiral spin liquids}},
	author={Hernan B. Xavier and Claudio Chamon and Rodrigo G. Pereira},
	journal={SciPost Phys.},
	volume={14},
	pages={105},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.5.105},
	url={https://scipost.org/10.21468/SciPostPhys.14.5.105},
}