We studied the ground state phase diagram of spin-1/2 J1-J2 XY model on the
square lattice with first- J1 and second-neighbor J2 antiferromagnetic
interactions using both iDMRG and DMRG approaches. We show that a plaquette
valence bond phase is realized in an intermediate region 0.50 <= J2/J1 <= 0.54
between a N\'eel magnetic ordered phase at J2/J1 < 0.50 and a stripy magnetic
ordered phase at J2/J1 >= 0.54. The plaquette valence bond phase is
characterized by finite dimer orders in both the horizontal and vertical
directions. Contrary to the spin-1/2 J1-J2 Heisenberg model, we do not find
numerical evidence for a quantum spin liquid phase in the J1-J2 XY model.Comment: 7 pages, 5 figure