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Some New Variational Resonating-Valence-Bond-Type Wave Functions for the Spin-½ Antiferromagnetic Heisenberg Model on a Square Lattice
Abstract
We consider a class of singlet resonanting-valence-bond wave functions on a square lattice, with the bond-length distribution as a variational parameter. This class contains the two limiting cases of the dimer wave function and of the N\'eel state. We present numerical calculations of the energy and the spin-spin correlation functions up to very large lattice sizes (180\ifmmode\times\else\texttimes\fi{}180) both for disordered states with exponentially decaying correlation functions and for ordered states. The energy of a disordered state can be within 0.1% of our best ordered state ($\frac{\ensuremath{-}0.3344J}{\mathrm{bond}}$).
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Citations
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Marshall, W. (1955) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1955.0200 · Cited by 444
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Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Quantum Monte Carlo Approaches for Correlated Systems
Becca, F., & Sorella, S. (2017) · doi:10.1017/9781316417041 · Cited by 523
Resonating Valence Bond Theory of Coupled Heisenberg Chains
White, S. R., Noack, R. M., & Scalapino, D. J. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.886 · Cited by 406
Bernu, B., Lecheminant, P., Lhuillier, C., & Pierre, L. (1994) · Physical Review B · doi:10.1103/physrevb.50.10048 · Cited by 406
Metadata
- Authors
- Liang, S., Doucot, B., & Anderson, P. W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1988-07-18
- Volume
- 61
- Issue
- 3
- Pages
- 365-368
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2045538510
- Cited by
- 519
- References
- 1
- FWCI
- 29.18
- Type
- journal article
- Language
- en
- Open access
- closed
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- Liang, S., Doucot, B., & Anderson, P. W. (1988). Some New Variational Resonating-Valence-Bond-Type Wave Functions for the Spin-½ Antiferromagnetic Heisenberg Model on a Square Lattice. Physical Review Letters. https://doi.org/10.1103/physrevlett.61.365
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