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Series expansion based on the flow equation method is employed to study thezero temperature properties of the spin-1/2 J1-J2-J3 antiferromagnet in twodimensions. Starting from the exact limit of decoupled plaquettes in aparticular generalized J1-J2-J3 model we analyze the evolution of the groundstate energy and the elementary triplet excitations in powers of all threeinter-plaquette couplings up to fifth order. We find the plaquette phase toremain stable over a wide range of exchange couplings and to connectadiabatically up to the case of the plain J1-J2-J3 model, however not to theJ1-J2 model at J3=0. Besides confirming the existence of such a phase, recentlypredicted by Mambrini, et al. [Phys. Rev. B 74, 144422 [2006)], we estimate itsextent by Dlog-Pade analysis of the critical lines that result from closure ofthe triplet gap.

Plaquette Order in the J1-J2-J3 model: a series expansion analysis