The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Variational Monte-Carlo Studies of Hubbard Model. I
Abstract
A variational Monte-Carlo method, which is a combination of the variational theory and the Monte-Carlo technique is proposed to study the Hubbard model with the Gutzwiller's wave function. An application is made to one-, two-, and three-dimensional models having sites up to 216 (6×6×6) and arbitrary values of U / t (on-site repulsion U and hopping integral t ). Contrary to resorting to the Gutzwiller approximation, it provides a virtually exact way to carry out the Gutzwiller-type variational theory and opens up a possibility of further development.
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Citations
Cites
Equation of State Calculations by Fast Computing Machines
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953) · The Journal of Chemical Physics · doi:10.1063/1.1699114 · Cited by 37,192
Cited by
LeBlanc, J. P. F., Antipov, A. E., Becca, F., Bulik, I. W., Chan, G. K.-L., Chung, C.-M., Deng, Y., Ferrero, M., Henderson, T. M., Jiménez-Hoyos, C. A., et al. (2015) · Physical Review X · doi:10.1103/physrevx.5.041041 · Cited by 601
Quantum Monte Carlo Approaches for Correlated Systems
Becca, F., & Sorella, S. (2017) · doi:10.1017/9781316417041 · Cited by 523
Mott transition in the d=∞ Hubbard model at zero temperature
Zhang, X. Y., Rozenberg, M. J., & Kotliar, G. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1666 · Cited by 344
Quantum critical phenomena in one-dimensional Bose systems
Batrouni, G., Scalettar, R., & Zimanyi, G. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.1765 · Cited by 278
Gutzwiller projection for bosons
Rokhsar, D. S., & Kotliar, B. G. (1991) · Physical Review B · doi:10.1103/physrevb.44.10328 · Cited by 263
Metadata
- Authors
- Yokoyama, H., & Shiba, H.
- Venue
- Journal of the Physical Society of Japan
- Publisher
- Physical Society of Japan
- Published
- 1987-04-15
- Volume
- 56
- Issue
- 4
- Pages
- 1490-1506
- ISSN
- 0031-9015 (ISSN-L)
- 1347-4073
- OpenAlex
- W2021219796
- Cited by
- 353
- References
- 1
- FWCI
- 6.12
- Type
- journal article
- Language
- en
- Open access
- closed
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- Yokoyama, H., & Shiba, H. (1987). Variational Monte-Carlo Studies of Hubbard Model. I. Journal of the Physical Society of Japan. https://doi.org/10.1143/jpsj.56.1490
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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.