Plaquette order in the J 1 -J 2 -J 3 model: Series expansion analysis

作者: Marcelo Arlego , Wolfram Brenig

DOI: 10.1103/PHYSREVB.78.224415

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

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