Quantum phase transition in the Plaquette lattice with anisotropic spin exchange
arXiv:cond-mat/0311071 · doi:10.1016/j.jmmm.2003.12.1145
Abstract
I study the influence of anisotropic spin exchange on a quantum phase transition in the Plaquette lattice driven by the purely quantum effect of singlet formation. I study the influence of i) a Dzyaloshinskii-Moriya exchange and ii) four spin exchange on the transition point by evaluating spin--spin correlations and the spin gap with exact diagonalization. The results point to a stabilization of the Neel-like long range order when the Dzyaloshinskii-Moriya exchange is added, whereas the four-spin exchange might stabilize the singlet order as well as the Neel-like order depending on its strength.
LaTeX article with 4 pages and 3 figures, prepared with material for the ICM 2003