TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.8.3.052
TI  - A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chain
PY  - 2025/08/15
UR  - https://www.scipost.org/SciPostPhysCore.8.3.052
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 8
IS  - 3
SP  - 052
A1  - Katsura, Hosho
AU  - Schuricht, Dirk
AB  - We consider the valence bond solid (VBS) state built of singlet pairs of fundamental representations and projected onto adjoint representations of the exceptional Lie group G$_2$. The two-point correlation function in the VBS state is non-vanishing only for nearest neighbours, but possesses finite string order. We construct a parent Hamiltonian for the VBS state, which constitutes the G$_2$ analog of the famous AKLT chain.
ER  -

@Article{10.21468/SciPostPhysCore.8.3.052,
	title={{A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chain}},
	author={Hosho Katsura and Dirk Schuricht},
	journal={SciPost Phys. Core},
	volume={8},
	pages={052},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.8.3.052},
	url={https://scipost.org/10.21468/SciPostPhysCore.8.3.052},
}