TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.4.097
TI  - Nonsymmorphic spin-space cubic groups and SU(2)$_1$ conformal invariance in one-dimensional spin-1/2 models
PY  - 2024/10/01
UR  - https://scipost.org/SciPostPhys.17.4.097
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 4
SP  - 097
A1  - Yang, Wang
AU  - Nocera, Alberto
AU  - Xu, Chao
AU  - Affleck, Ian
AB  - Recently, extended gapless phases with emergent SU(2)$_1$ conformal invariance occupying finite regions in the phase diagrams have been found in one-dimensional spin-1/2 models with nonsymmorphic $O_h$ symmetry groups. In this work, we investigate the question of whether the conditions for emergent SU(2)$_1$ invariance can be loosened. We find that besides the nonsymmorphic $O_h$ group, the other four smaller nonsymmorphic cubic groups including $O$, $T_h$, $T_d$ and $T$ can also give rise to emergent SU(2)$_1$ invariance. Minimal spin-1/2 models having these nonsymmorphic cubic groups as symmetry groups are constructed, and numerical evidences for the emergent SU(2)$_1$ invariance are provided. Our work is useful for understanding gapless phases in one-dimensional spin systems with nonsymmorphic symmetries.
ER  -

@Article{10.21468/SciPostPhys.17.4.097,
	title={{Nonsymmorphic spin-space cubic groups and SU(2)$_1$ conformal invariance in one-dimensional spin-1/2 models}},
	author={Wang Yang and Alberto Nocera and Chao Xu and Ian Affleck},
	journal={SciPost Phys.},
	volume={17},
	pages={097},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.4.097},
	url={https://scipost.org/10.21468/SciPostPhys.17.4.097},
}