The DOI matches its Crossref record.
String Order and Symmetries in Quantum Spin Lattices
Open accessAbstract
We show that the existence of string order in a given quantum state is intimately related to the presence of a local symmetry by proving that both concepts are equivalent within the framework of finitely correlated states. Once this connection is established, we provide a complete characterization of local symmetries in these states. The results allow us to understand in a straightforward way many of the properties of string order parameters, like their robustness or fragility under perturbations and their typical disappearance beyond strictly one-dimensional lattices. We propose and discuss an alternative definition, ideally suited for detecting phase transitions, and generalizations to two and more spatial dimensions.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 19
- 10.1103/PhysRevB.40.4709 · DOI · Paper page
- 10.1103/PhysRevLett.97.260401 · DOI
- 10.1103/PhysRevB.75.144420 · doi:10.1103/physrevb.75.144420
- 10.1103/PhysRevB.62.14965 · DOI
- 10.1103/PhysRevB.64.224412 · doi:10.1103/physrevb.64.224412
- 10.1103/PhysRevB.76.085124 · DOI
- 10.1007/BF02099178 · DOI · Paper page
- D. Pérez-García, 2007, Quantum Inf. Comput., 7, 401, 10.26421/QIC7.5-6-1 · DOI · Paper page
- 10.1103/PhysRevLett.91.147902 · DOI · Paper page
- 10.1103/PhysRevB.73.094423 · DOI · Paper page
- 10.1088/1742-5468/2007/08/P08024 · DOI · Paper page
- 10.1103/PhysRevLett.93.227205 · DOI · Paper page
- 10.1007/BF01218021 · DOI · Paper page
- 10.1103/PhysRevLett.86.5188 · DOI · Paper page
- 10.1103/PhysRevA.70.060302 · DOI · Paper page
- 10.1016/S0003-4916(02)00018-0 · DOI · Paper page
- 10.1016/0003-4916(61)90115-4 · DOI · Paper page
- 10.1103/PhysRevB.69.104431 · DOI · Paper page
- 10.1007/s00220-007-0342-z · DOI
Cited by
Orús, R. (2014) · Annals of Physics · doi:10.1016/j.aop.2014.06.013 · Cited by 2,255
Entanglement spectrum of a topological phase in one dimension
Pollmann, F., Turner, A. M., Berg, E., & Oshikawa, M. (2010) · Physical Review B · doi:10.1103/physrevb.81.064439 · Cited by 1,341
Tangent-space methods for uniform matrix product states
Vanderstraeten, L., Haegeman, J., & Verstraete, F. (2019) · SciPost Physics Lecture Notes · doi:10.21468/scipostphyslectnotes.7 · Cited by 233
“In fact, it can be shown [8, 10] that this is the only freedom in the parametrization5, and it can be fixed (partially) by imposing canonical forms on the MPS tensor A.”
BackgroundSelf-citationFilling constraints for spin-orbit coupled insulators in symmorphic and nonsymmorphic crystals
Watanabe, H., Po, H. C., Vishwanath, A., & Zaletel, M. (2015) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1514665112 · Cited by 195
Tensor Network Contractions: Methods and Applications to Quantum Many-Body Systems
Ran, S.-J., Tirrito, E., Peng, C., Chen, X., Tagliacozzo, L., Su, G., & Lewenstein, M. (2020) · Lecture Notes in Physics · doi:10.1007/978-3-030-34489-4 · Cited by 176
Metadata
- Authors
- Pérez-García, D., Wolf, M. M., Sanz, M., Verstraete, F., & Cirac, J. I.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-04-22
- Volume
- 100
- Issue
- 16
- Pages
- 167202-167202
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2097903774
- Cited by
- 253
- References
- 0
- FWCI
- 4.06
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: String Order and Symmetries in Quantum Spin Lattices. https://app.cochat.ai/papers/10.1103/physrevlett.100.167202
- The paper
- Pérez-García, D., Wolf, M. M., Sanz, M., Verstraete, F., & Cirac, J. I. (2008). String Order and Symmetries in Quantum Spin Lattices. Physical Review Letters. https://doi.org/10.1103/physrevlett.100.167202
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
