TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.5.087
TI  - Lacing topological orders in two dimensions: Exactly solvable models for Kitaev's sixteen-fold way
PY  - 2023/05/01
UR  - https://www.scipost.org/SciPostPhys.14.5.087
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 5
SP  - 087
A1  - Jin, Jin-Tao
AU  - Miao, Jian-Jian
AU  - Zhou, Yi
AB  - A family of two-dimensional (2D) spin-1/2 models have been constructed to realize Kitaev's sixteen-fold way of anyon theories. Defining a one-dimensional (1D) path through all the lattice sites, and performing the Jordan-Wigner transformation with the help of the 1D path, we find that such a spin-1/2 model is equivalent to a model with $\nu$ species of Majorana fermions coupled to a static $\mathbb{Z}_2$ gauge field. Here each species of Majorana fermions gives rise to an energy band that carries a Chern number $\mathcal{C}=1$, yielding a total Chern number $\mathcal{C}=\nu$. It has been shown that the ground states are three (four)-fold topologically degenerate on a torus, when $\nu$ is an odd (even) number. These exactly solvable models can be achieved by quantum simulations.
ER  -

@Article{10.21468/SciPostPhys.14.5.087,
	title={{Lacing topological orders in two dimensions: Exactly solvable models for Kitaev's sixteen-fold way}},
	author={Jin-Tao Jin and Jian-Jian Miao and Yi Zhou},
	journal={SciPost Phys.},
	volume={14},
	pages={087},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.5.087},
	url={https://scipost.org/10.21468/SciPostPhys.14.5.087},
}