We present an exact diagonalization study of the ground state of the spin-half J1−J2 model. Dimer correlation functions and the susceptibility associated to the breaking of the translational invariance are calculated for the 4×4 and the 6×6 clusters. These results -- especially when compared to the one dimensional case, where the occurrence of a dimerized phase for large enough frustration is well established -- suggest either a homogeneous spin liquid or, possibly, a dimerized state with a rather small order parameter.
@article{arxiv.cond-mat/0305099,
title = {Suppression of Dimer Correlations in the Two-Dimensional $J_1$-$J_2$ Heisenberg Model: an Exact Diagonalization Study},
author = {Luca Capriotti and Federico Becca and Alberto Parola and sandro Sorella},
journal= {arXiv preprint arXiv:cond-mat/0305099},
year = {2009}
}