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We report magnetization and specific heat measurements on polycrystallinesamples of BaCdVO(PO_4)_2 and show that this compound is a S=1/2 frustratedsquare lattice with ferromagnetic nearest-neighbor (J_1) and antiferromagneticnext-nearest-neighbor (J_2) interactions. The coupling constants J_1\simeq -3.6K and J_2\simeq 3.2 K are determined from a fitting of the susceptibility dataand confirmed by an analysis of the saturation field (H_s=4.2 T), the specificheat, and the magnetic entropy. BaCdVO(PO_4)_2 undergoes magnetic ordering atabout 1 K, likely towards a columnar antiferromagnetic state. We find thatBaCdVO(PO_4)_2 with the frustration ratio \alpha=J_2/J_1\simeq -0.9 is closerto a critical (quantum spin liquid) region of the frustrated square latticethan any of the previously reported compounds. Positive curvature of themagnetization curve is observed in agreement with recent theoreticalpredictions for high-field properties of the frustrated square lattice close tothe critical regime.

Magnetic properties of BaCdVO(PO_4)_2: a strongly frustrated spin-1/2 square lattice close to the quantum critical regime