The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Exact diagonalisations of open spin-1 chains
Abstract
The author numerically computes the two lowest eigenvalues of finite length spin-1 chains with the Hamiltonian H= Sigma i (S i .S i+1 - beta (S i .S i+1 ) 2 ) and open boundary conditions. For a range of beta , including the value 0, he finds that the difference of the two eigenvalues decays exponentially with the length of the chain. This exponential decay provides further evidence that these spin chains are in a massive phase as first predicted by Haldane (1982). The correlation length xi of the chain can be estimated using this exponential decay. He finds estimates of xi for the Heisenberg chain ( beta =0) that range from 6.7 to 7.8 depending on how one extrapolates to infinite length.
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Citations
Cites
Ordering Energy Levels of Interacting Spin Systems
Lieb, E., & Mattis, D. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1724276 · Cited by 882
Cited by
Density matrix formulation for quantum renormalization groups
White, S. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2863 · Cited by 7,702
Hastings, M. B., & Wen, X.-G. (2005) · Physical Review B · doi:10.1103/physrevb.72.045141 · Cited by 406
Metadata
- Authors
- Kennedy, T.
- Venue
- Journal of Physics: Condensed Matter
- Publisher
- IOP Publishing
- Published
- 1990-07-02
- Volume
- 2
- Issue
- 26
- Pages
- 5737-5745
- ISSN
- 0953-8984 (ISSN-L)
- 1361-648X
- OpenAlex
- W1996898983
- Cited by
- 299
- References
- 1
- FWCI
- 7.07
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kennedy, T. (1990). Exact diagonalisations of open spin-1 chains. Journal of Physics: Condensed Matter. https://doi.org/10.1088/0953-8984/2/26/010
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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.
