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The magnetic properties and Mott transition of the half-filled Hubbard modelon the 1/5 depleted square lattice with frustration is studied at zerotemperature by the variational cluster approximation. The $(\pi,\pi)$ N\'eelordering (AF) is stable in a wide region of the phase diagram and almostcompletely veils the non-magnetic Mott transition for the unfrustrated case.However, AF is severely suppressed by the frustration and even with moderatefrustrations the non-magnetic Mott transition takes place in the range wherethe intra-dimer hoppings are larger than the intra-plaquette hoppings.

Magnetic phase diagram and Mott transition of the half-filled 1/5-depleted Hubbard model with frustration