The spin 1/2 J1-J2 Antiferromagnetic Heisenberg model on Square Lattice

We studied the spin 1/2 J1-J2 Heisenberg antiferromagnets on square lattice using the recently proposed cluster update for tensor network states [arXiv:1110.4362]. Ground state wavefunction with tensor network bond dimension upto $D=9$ was obtained. Through a finite size scaling analysis, we observe a second order phase transition from an antiferromagnetic ordered state to a paramagnetic phase with plaquette valence bond order at a coupling constant ratio J2/J1~ 0.44. The ground state energies in the thermodynamic limit are in the order of 10$^{-3}$J1 per site difference from the state of art exact diagonalization study [Eur. Phys. J. B 73, 117 (2010)].