Sign structures for short-range RVB states on small kagome clusters

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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To appear in Phys. Rev. B Brief Report

Scientific paper

10.1103/PhysRevB.84.193102

We extended the Schwinger boson construction to obtain wave functions that are resonating valence bond (RVB) counterparts of the degenerate coplanar classical states on the Kagome lattice. We examined all 84 of them on the 36-site cluster and found that they form a narrow energy band. On the 12-site cluster, there are only four such states and their superpositions accurately account for the second through fourth exact diagonalization (ED) states, while the ED ground state is accurately reproduced by allowing a particular two-vison insertion on top of the q=0 RVB state. Thus, we have established the RVB sign structures for the low energy states on this cluster.

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