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Topological terms in one- and two-dimensional quantum Heisenberg antiferromagnets
Abstract
We show that the Wess-Zumino kinetic terms of individual spins combine to provide nontrivial topological terms for one-dimensional antiferromagnetic spin chains but do not produce a Hopf term for antiferromagnets on two-dimensional squares lattices. This result suggests that some other mechanism is needed to account for the neutral fermions which may be present in high-${T}_{c}$ materials.
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Cites
Possible highT c superconductivity in the Ba?La?Cu?O system
Bednorz, J. G., & M�ller, K. A. (1986) · Zeitschrift f�r Physik B Condensed Matter · doi:10.1007/bf01303701 · Cited by 14,319
Cited by
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
Senthil, T., Balents, L., Sachdev, S., Vishwanath, A., & Fisher, M. P. A. (2004) · Physical Review B · doi:10.1103/physrevb.70.144407 · Cited by 834
Large-nlimit of the Hubbard-Heisenberg model
Marston, J. B., & Affleck, I. (1989) · Physical Review B · doi:10.1103/physrevb.39.11538 · Cited by 498
Spin-Peierls, valence-bond solid, and Néel ground states of low-dimensional quantum antiferromagnets
Read, N., & Sachdev, S. (1990) · Physical Review B · doi:10.1103/physrevb.42.4568 · Cited by 493
Interacting fermionic topological insulators/superconductors in three dimensions
Wang, C., & Senthil, T. (2014) · Physical Review B · doi:10.1103/physrevb.89.195124 · Cited by 288
Metadata
- Authors
- Fradkin, E., & Stone, M.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1988-10-01
- Volume
- 38
- Issue
- 10
- Pages
- 7215-7218
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2038810321
- Cited by
- 182
- References
- 1
- FWCI
- 7.11
- Type
- journal article
- Language
- en
- Open access
- closed
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- Fradkin, E., & Stone, M. (1988). Topological terms in one- and two-dimensional quantum Heisenberg antiferromagnets. Physical Review B. https://doi.org/10.1103/physrevb.38.7215
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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.
