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We investigate the ground state structure of the Heisenberg model on the1/5-depleted square lattice for arbitrary values of the first- andsecond-neighbor exchange couplings. By using a mean-field Schwinger-bosonapproach we present a unified description of the rich ground-state diagram,which include the plaquette and dimer resonant-valence-bond phases, anincommensurate phase and other magnetic orders with complex magnetic unitcells. We also discuss some implications of ours results for the experimentalrealization of this model in the CaV4O9 compound.Comment: 4 pages, Latex, 7 figures included as eps file

physical review. b, condensed matter

Heisenberg model on the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:mfrac></mml:math>-depleted square lattice and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CaV</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi …

Heisenberg model on the15-depleted square lattice and theCaV4