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Numerical study of the two-dimensional Hubbard model
Abstract
We report on a numerical study of the two-dimensional Hubbard model and describe two new algorithms for the simulation of many-electron systems. These algorithms allow one to carry out simulations within the grand canonical ensemble at significantly lower temperatures than had previously been obtained and to calculate ground-state properties with fixed numbers of electrons. We present results for the two-dimensional Hubbard model with half- and quarter-filled bands. Our results support the existence of long-range antiferromagnetic order in the ground state at half-filling and its absence at quarter-filling. Results for the magnetic susceptibility and the momentum occupation along with an upper bound to the spin-wave spectrum are given. We find evidence for an attractive effective d-wave pairing interaction near half-filling but have not found evidence for a phase transition to a superconducting state.
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Citations
Cited by
Georges, A., Kotliar, G., Krauth, W., & Rozenberg, M. J. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.13 · Cited by 6,901
Sign problem in the numerical simulation of many-electron systems
Loh, E. Y., Gubernatis, J. E., Scalettar, R. T., White, S. R., Scalapino, D. J., & Sugar, R. L. (1990) · Physical Review B · doi:10.1103/physrevb.41.9301 · Cited by 801
Self-citationStripe order in the underdoped region of the two-dimensional Hubbard model
Zheng, B.-X., Chung, C.-M., Corboz, P., Ehlers, G., Qin, M.-P., Noack, R. M., Shi, H., White, S. R., Zhang, S., & Chan, G. K.-L. (2017) · Science · doi:10.1126/science.aam7127 · Cited by 606
Self-citationLeBlanc, 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
Self-citationStudying Two-Dimensional Systems with the Density Matrix Renormalization Group
Stoudenmire, E. M., & White, S. R. (2012) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-020911-125018 · Cited by 451
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Metadata
- Authors
- White, S. R., Scalapino, D. J., Sugar, R. L., Loh, E. Y., Gubernatis, J. E., & Scalettar, R. T.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1989-07-01
- Volume
- 40
- Issue
- 1
- Pages
- 506-516
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2029960903
- Cited by
- 943
- References
- 0
- FWCI
- 16.87
- Type
- journal article
- Language
- en
- Open access
- closed
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- White, S. R., Scalapino, D. J., Sugar, R. L., Loh, E. Y., Gubernatis, J. E., & Scalettar, R. T. (1989). Numerical study of the two-dimensional Hubbard model. Physical Review B. https://doi.org/10.1103/physrevb.40.506
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