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We investigate the bandwidth-controlled Mott transition in the Hubbard modelon the checkerboard lattice at half filling using the path-integralrenormalization group (PIRG) method. It is demonstrated that the systemundergoes a first-order phase transition to the plaquette-singlet insulatingphase at a finite Hubbard interaction. This conclusion is drawn via a detailedanalysis of the spin and charge correlations around the phase transition pointby means of the PIRG method aided with a new iteration scheme introduced inthis paper.

Mott Transition in the Hubbard Model on Checkerboard Lattice