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Motivated by the unabating interest in the spin-1/2 Heisenbergantiferromagnetic model on the Kagome lattice, we investigate the energetics ofprojected Schwinger boson (SB) wave functions in the $J_1$--$J_2$ model withantiferromagnetic $J_2$ coupling. Our variational Monte Carlo results show thatSachdev's $Q_1=Q_2$ SB ansatz has a lower energy than the Dirac spin liquid for$J_2\gtrsim 0.08 J_1$ and the ${\bf q=0}$ Jastrow type magnetically orderedstate. This work demonstrates that the projected SB wave functions can betested on the same footing as their fermionic counterparts.

Variational study of J1-J2 Heisenberg model on Kagome lattice using projected Schwinger boson wave functions