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Half-filled Hubbard model at low temperature
Abstract
The ground-state energy E and momentum distribution n k of the electrons are expanded from the atomic limit for the half-filled Hubbard model. The coefficients of expansion are represented by the spin correlation functions of the spin 1 / 2 Heisenberg model. Using the spin-wave theory, approximate values of coefficients are calculated for the square lattice and the simple cubic lattice. In one dimension, the theory shows a good agreement with the exact solution. An effective spin Hamiltonian for the half-filled Hubbard model with arbitrary hopping integrals is obtained up to the fifth order. It is shown that the fourth term contains four spin interactions.
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Citations
Cited by
Baltz, V., Manchon, A., Tsoi, M., Moriyama, T., Ono, T., & Tserkovnyak, Y. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015005 · Cited by 2,698
Tokura, Y., & Kanazawa, N. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.0c00297 · Cited by 726
tUexpansion for the Hubbard model
MacDonald, A. H., Girvin, S. M., & Yoshioka, D. (1988) · Physical Review B · doi:10.1103/physrevb.37.9753 · Cited by 494
Malrieu, J. P., Caballol, R., Calzado, C. J., de Graaf, C., & Guihéry, N. (2014) · Chemical Reviews · doi:10.1021/cr300500z · Cited by 434
Magnon spectra of cuprates beyond spin wave theory
Bao, J., Gohlke, M., Rau, J. G., & Shannon, N. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.l012053 · Cited by 5
Metadata
- Authors
- Takahashi, M.
- Venue
- Journal of Physics C: Solid State Physics
- Publisher
- IOP Publishing
- Published
- 1977-04-28
- Volume
- 10
- Issue
- 8
- Pages
- 1289-7301
- ISSN
- 0022-3719 (ISSN-L)
- OpenAlex
- W2069131059
- Cited by
- 449
- References
- 0
- FWCI
- 0.57
- Type
- journal article
- Language
- en
- Open access
- closed
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- Takahashi, M. (1977). Half-filled Hubbard model at low temperature. Journal of Physics C: Solid State Physics. https://doi.org/10.1088/0022-3719/10/8/031
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