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Entanglement-enabled symmetry-breaking orders
by Cheng-Ju Lin, Liujun Zou
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Submission summary
| Authors (as registered SciPost users): | Cheng-Ju Lin · Liujun Zou |
| Submission information | |
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| Preprint Link: | scipost_202305_00001v3 (pdf) |
| Date accepted: | 2024-02-28 |
| Date submitted: | 2024-02-18 20:43 |
| Submitted by: | Lin, Cheng-Ju |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
List of changes
- Added the last paragraph in Sec. 4, clarifying the difference of our construction from the construction considered in Ref.[18] (Jiang et. al.).
Published as SciPost Phys. Core 7, 010 (2024)