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Antiferromagnetism in the Two-Dimensional Hubbard Model
Abstract
Magnetic properties of the two-dimensional Hubbard-model are inferred from results of Monte Carlo simulations. Lattice sizes up to 8\ifmmode\times\else\texttimes\fi{}8 and temperatures down to $T=\frac{t}{20}$ ($t=\mathrm{hopping}$) were studied. The half-filled system is found to exhibit antiferromagnetic long-range order for all values of the Coulomb repulsion $U$. The low-temperature magnetic properties are found to be well described by spin-wave theory with renormalized local moment and spin-wave velocity. Numerical evidence presented suggests that when doped the system loses the long-range order immediately away from half filling.
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Citations
Cited by
Insulator, metal, or superconductor: The criteria
Scalapino, D. J., White, S. R., & Zhang, S. (1993) · Physical Review B · doi:10.1103/physrevb.47.7995 · Cited by 481
Kato, M., Machida, K., Nakanishi, H., & Fujita, M. (1990) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.59.1047 · Cited by 286
Spin and Charge Order in the Doped Hubbard Model: Long-Wavelength Collective Modes
Chang, C.-C., & Zhang, S. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.116402 · Cited by 94
Spatially inhomogeneous phase in the two-dimensional repulsive Hubbard model
Chang, C.-C., & Zhang, S. (2008) · Physical Review B · doi:10.1103/physrevb.78.165101 · Cited by 89
Metadata
- Authors
- Hirsch, J. E., & Tang, S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1989-01-30
- Volume
- 62
- Issue
- 5
- Pages
- 591-594
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2068615550
- Cited by
- 225
- References
- 0
- FWCI
- 10.09
- Type
- journal article
- Language
- en
- Open access
- closed
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- Hirsch, J. E., & Tang, S. (1989). Antiferromagnetism in the Two-Dimensional Hubbard Model. Physical Review Letters. https://doi.org/10.1103/physrevlett.62.591
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