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The Resonating-Valence-Bond Ansatze

Since the Heisenberg Hamiltonian commutes with the total-spin operators, the 22iV-dimensional spin space can be separated in subspaces with [Pg.737]

In a bipartite system a set of d N independent singlets can be constructed by pairing to a singlet each of the N spins in A to a spin in B, with no site unpaired. We represent one of these spin-pairings (SP) by an arrow from the site in the sublattice A to its partner in B (see, for instance, Fig. 3, where a complete set of linearly-independent singlets for six-site systems are represented). [Pg.738]


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