TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.5.144
TI  - $\mathbb{Z}_4$ transitions in quantum loop models on a zig-zag ladder
PY  - 2024/11/26
UR  - https://scipost.org/SciPostPhys.17.5.144
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 5
SP  - 144
A1  - La Riviere, Bowy
AU  - Chepiga, Natalia
AB  - We study the nature of quantum phase transitions out of $\mathbb{Z}_4$ ordered phases in quantum loop models on a zig-zag ladder. We report very rich critical behavior that includes a pair of Ising transitions, a multi-critical Ashkin-Teller point and a remarkably extended interval of a chiral transition. Although plaquette states turn out to be essential to realize chiral transitions, we demonstrate that critical regimes can be manipulated by deforming the model as to increase the presence of leg-dimerized states. This can be done to the point where the chiral transition turns into first order, we argue that this is associated with the emergence of a critical end point.
ER  -

@Article{10.21468/SciPostPhys.17.5.144,
	title={{$\mathbb{Z}_4$ transitions in quantum loop models on a zig-zag ladder}},
	author={Bowy M. La Rivière and Natalia Chepiga},
	journal={SciPost Phys.},
	volume={17},
	pages={144},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.5.144},
	url={https://scipost.org/10.21468/SciPostPhys.17.5.144},
}