Ground state of the two-dimensional antiferromagnetic Heisenberg model and the resonating-valence-bond states
- 1 October 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 38 (10) , 6863-6867
- https://doi.org/10.1103/physrevb.38.6863
Abstract
We have studied the relation between the resonating-valence-bond (RVB) state and the exact ground state for the two-dimensional antiferromagnetic (AF) Heisenberg model on a few small lattices. We describe a method to obtain the state of minimum energy within a family of RVB states. Based on the insight provided by the RVB states, and supported by our numerical results, we argue in favor of the existence of long-range order at T=0 for the two-dimensional AF Heisenberg model.Keywords
This publication has 11 references indexed in Scilit:
- Resonating-valence-bond state: Comments on the antiferromagnetic ordering of the two-dimensional Heisenberg modelPhysical Review B, 1988
- Systems with resonating-valence-bond ground states: Correlations and excitationsPhysical Review B, 1988
- Ground-state staggered magnetization of two-dimensional quantum Heisenberg antiferromagnetsPhysical Review B, 1988
- Equivalence of the resonating-valence-bond and fractional quantum Hall statesPhysical Review Letters, 1987
- Rigorous results on valence-bond ground states in antiferromagnetsPhysical Review Letters, 1987
- Resonating–valence-bond theory of phase transitions and superconductivity in-based compoundsPhysical Review Letters, 1987
- The Resonating Valence Bond State in La 2 CuO 4 and SuperconductivityScience, 1987
- The ground state of two quantum models of magnetismCanadian Journal of Physics, 1978
- On Next-Nearest-Neighbor Interaction in Linear Chain. IJournal of Mathematical Physics, 1969
- The Calculation of Matrix Elements for Lewis Electronic Structures of MoleculesThe Journal of Chemical Physics, 1933