Heisenberg model for the square-planar lattice and fragments.
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Finite-fragment computations for the ground state of the isotropic spin-(1/2 Heisenberg model for the square-planar lattice are made. Both the exact ground-state and the (severe form of the) resonating-valence-bond ansatz are considered and compared. Energy extrapolations to infinite strips and then the infinite lattice are attempted. A novel real-space renormalization for the ground state is also carried out, and finally the possibility of single-soliton excitations is considered. The short-range ansatz is found to give only a modest improvement beyond a simple Nel state and to be unstable to disproportionation into well-separated single spins. 1990 The American Physical Society.