Plaquette Resonating-Valence-Bond Ground State of CaV${}_4$O${}_9$

Abstract

A theoretical model is presented to explain the spin gap observed for CaV${}_4$O${}_9$. The underlying lattice of the 1/5-depleted square lattice favors a formation of plaquette resonating valence bond state. Inclusion of the frustrating second neighbor interaction enhances this tendency, leading to a quantum disordered state of a two dimensional spin-1/2 Heisenberg model with a sufficiently big spin gap compatible with experiments.

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