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Matrix Product Ground States for One-Dimensional Spin-1 Quantum Antiferromagnets
Open accessAbstract
We have found the exact ground state for a large class of antiferromagnetic spin-1 models with nearest-neighbour interactions on a linear chain. All ground-state properties can be calculated. The ground state is determined as a matrix product of individual site states and has the properties of the Haldane scenario.
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Citations
Cited by
The density-matrix renormalization group in the age of matrix product states
Schollwöck, U. (2011) · Annals of Physics · doi:10.1016/j.aop.2010.09.012 · Cited by 4,818
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Orús, R. (2014) · Annals of Physics · doi:10.1016/j.aop.2014.06.013 · Cited by 2,255
Verstraete, F., Murg, V., & Cirac, J. I. (2008) · Advances in Physics · doi:10.1080/14789940801912366 · Cited by 1,762
Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
Daley, A. J., Kollath, C., Schollwöck, U., & Vidal, G. (2004) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2004/04/p04005 · Cited by 1,160
Metadata
- Authors
- Klümper, A., Schadschneider, A., & Zittartz, J.
- Venue
- Europhysics Letters (EPL)
- Publisher
- IOP Publishing
- Published
- 1993-11-01
- Volume
- 24
- Issue
- 4
- Pages
- 293-297
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W2088758181
- Cited by
- 272
- References
- 0
- FWCI
- 4.91
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Matrix Product Ground States for One-Dimensional Spin-1 Quantum Antiferromagnets. https://app.cochat.ai/papers/10.1209/0295-5075/24/4/010
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- Klümper, A., Schadschneider, A., & Zittartz, J. (1993). Matrix Product Ground States for One-Dimensional Spin-1 Quantum Antiferromagnets. Europhysics Letters (EPL). https://doi.org/10.1209/0295-5075/24/4/010
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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.
