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SO4 SYMMETRY IN A HUBBARD MODEL
Abstract
For a simple Hubbard model, using a particle-particle pairing operator η and a particle-hole pairing operator ζ, it is shown that one can write down two commuting sets of angular momenta operators J and J′, both of which commute with the Hamiltonian. These considerations allow the introduction of quantum numbers j and j′ and lead to the fact that the system has SO 4=( SU 2× SU 2)/Z 2 symmetry, j is related to the existence of superconductivity for a state and j′ to its magnetic properties.
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Citations
Cited by
Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
(2004) · doi:10.1103/revmodphys.76.909 · Cited by 293
Fermionic entanglement in itinerant systems
Zanardi, P., & Wang, X. (2002) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/35/37/307 · Cited by 125
Relevance in the Renormalization Group and in Information Theory
Gordon, A., Banerjee, A., Koch-Janusz, M., & Ringel, Z. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.240601 · Cited by 18
Metadata
- Authors
- YANG, C. N., & ZHANG, S. C.
- Venue
- Modern Physics Letters B
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 1990-06
- Volume
- 04
- Issue
- 11
- Pages
- 759-766
- ISSN
- 0217-9849 (ISSN-L)
- 1793-6640
- OpenAlex
- W2130153815
- Cited by
- 400
- References
- 0
- FWCI
- 5.80
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: SO4 SYMMETRY IN A HUBBARD MODEL. https://app.cochat.ai/papers/10.1142/s0217984990000933
- The paper
- YANG, C. N., & ZHANG, S. C. (1990). SO4 SYMMETRY IN A HUBBARD MODEL. Modern Physics Letters B. https://doi.org/10.1142/s0217984990000933
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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