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

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

2008-08-16

arxiv.org/abs/0808.2229v1

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 5 figures

Scientific paper

10.1103/PhysRevB.78.224415

Series expansion based on the flow equation method is employed to study the zero temperature properties of the spin-1/2 J1-J2-J3 antiferromagnet in two dimensions. Starting from the exact limit of decoupled plaquettes in a particular generalized J1-J2-J3 model we analyze the evolution of the ground state energy and the elementary triplet excitations in powers of all three inter-plaquette couplings up to fifth order. We find the plaquette phase to remain stable over a wide range of exchange couplings and to connect adiabatically up to the case of the plain J1-J2-J3 model, however not to the J1-J2 model at J3=0. Besides confirming the existence of such a phase, recently predicted by Mambrini, et al. [Phys. Rev. B 74, 144422 [2006)], we estimate its extent by Dlog-Pade analysis of the critical lines that result from closure of the triplet gap.

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