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

Abstract

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.

6 pages, 5 figures

References in corpus (2)

• Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• The J1-J2 model: First order phase transition versus deconfinement of spinons

Cited by in corpus (4)

• Quantum magnets with weakly confined spinons: Multiple length scales and quantum impurities
• Tensor network study of the spin-1/2 square-lattice $J_1$-$J_2$-$J_3$ model: incommensurate spiral order, mixed valence-bond solids, and multicritical points
• Elementary excitations in the ordered phase of spin-1/2 J1-J2 model on square lattice
• Thermal Hall conductivity of a valence bond solid phase in the square lattice $J_1$-$J_2$ antiferromagnet Heisenberg model with a Dzyaloshinskii-Moriya interaction