Ground state properties of two spin models with exactly known ground states on the square lattice

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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to appear in IJMPC 17, 12 pages, 7 figures

Scientific paper

10.1142/S0129183106009709

We introduce a new two-dimensional model with diagonal four spin exchange and
an exactly knownground-state. Using variational ansaetze and exact
diagonalisation we calculate upper and lower bounds for the critical coupling
of the model. Both for this model and for the Shastry-Sutherland model we study
periodic systems up to system size 6x6.

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