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We apply the plaquette renormalization scheme of tensor network states [Phys.Rev. E, 83, 056703 (2011)] to study the spin-1/2 frustrated Heisenberg J1-J2model on a L*L square lattice with L = 8, 16 and 32. By treating tensorelements as variational parameters, we obtain the ground states for differentJ2/J1 values, and investigate the staggered magnetic order parameters, thenearest-neighbor spin-spin correlations and the plaquette order parameters. Inaddition to the well-known N\'eel-order and collinear-order at low and highJ2/J1, we observe a plaquette order at intermediate J2/J1. A continuoustransition between the N\'eel order and the plaquette order near J2 = 0.40J1 isobserved. The collinear order emerges at J2 = 0.62J1 through a first-orderphase transition.

Spin-1/2 J1-J2 Heisenberg antiferromagnet on a square lattice: a plaquette renormalized tensor network study