Some New Variational Resonating-Valence-Bond-Type Wave Functions for the Spin-½ Antiferromagnetic Heisenberg Model on a Square Lattice

作者：S. Liang, Benoît Douçot, P. W. Anderson · 发表于：Physical Review Letters · 年份：1988 · DOI：10.1103/physrevlett.61.365 · 被引用次数：527 · 研究领域：Physics of Superconductivity and Magnetism、Advanced Condensed Matter Physics、Theoretical and Computational Physics

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 ($\frac{\ensuremath{-}0.3344J}{\mathrm{bond}}$).