Quantum phase transition in the Plaquette lattice with anisotropic spin exchange

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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LaTeX article with 4 pages and 3 figures, prepared with material for the ICM 2003

Scientific paper

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.

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