TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.7.1.010
TI  - Entanglement-enabled symmetry-breaking orders
PY  - 2024/03/11
UR  - https://scipost.org/SciPostPhysCore.7.1.010
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 7
IS  - 1
SP  - 010
A1  - Lin, Cheng-Ju
AU  - Zou, Liujun
AB  - A spontaneous symmetry-breaking order is conventionally described by a tensor-product wavefunction of some few-body clusters; some standard examples include the simplest ferromagnets and valence bond solids. We discuss a type of symmetry-breaking orders, dubbed entanglement-enabled symmetry-breaking orders, which cannot be realized by any such tensor-product state. Given a symmetry breaking pattern, we propose a criterion to diagnose if the symmetry-breaking order is entanglement-enabled, by examining the compatibility between the symmetries and the tensor-product description. For concreteness, we present an infinite family of exactly solvable gapped models on one-dimensional lattices with nearest-neighbor interactions, whose ground states exhibit entanglement-enabled symmetry-breaking orders from a discrete symmetry breaking. In addition, these ground states have gapless edge modes protected by the unbroken symmetries. We also propose a construction to realize entanglement-enabled symmetry-breaking orders with spontaneously broken continuous symmetries. Under the unbroken symmetries, some of our examples can be viewed as symmetry-protected topological states that are beyond the conventional classifications.
ER  -

@Article{10.21468/SciPostPhysCore.7.1.010,
	title={{Entanglement-enabled symmetry-breaking orders}},
	author={Cheng-Ju Lin and Liujun Zou},
	journal={SciPost Phys. Core},
	volume={7},
	pages={010},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.7.1.010},
	url={https://scipost.org/10.21468/SciPostPhysCore.7.1.010},
}