  We have numerically investigated the 1/5-depleted Heisenberg square lattice
representing CaV4O9 using the Quantum Monte Carlo loop algorithm. We have
determined the phase diagram of the model as a function of the ratio of the two
different couplings: bonds within a plaquette and dimer bonds between
plaquettes. By calculating both the spin gap and the staggered magnetization we
determine the range of stability of the long range ordered (LRO) phase. At
isotropic coupling LRO survives the depletion. But the close vicinity of the
isotropic point to the spin gap phase leads us to the conclusion that already a
small frustrating next nearest neighbor interaction can drive the system into
the quantum disordered phase and thus explain the spin gap behavior of CaV4O9.
