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GROUND STATE PROPERTIES OF TWO SPIN MODELS WITH EXACTLY KNOWN GROUND STATES ON THE SQUARE LATTICE

Theoretische Physik, Universität zu Köln, Zülpicher Str.77, 50937 Köln, Germany

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Theoretische Physik, Universität zu Köln, Zülpicher Str.77, 50937 Köln, Germany

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Theoretische Physik, Universität zu Köln, Zülpicher Str.77, 50937 Köln, Germany

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https://doi.org/10.1142/S0129183106009709Cited by:0 (Source: Crossref)

Abstract

We introduce a new two-dimensional model with diagonal four spin exchange and an exactly known ground-state. Using variational ansätze 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 6×6.

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Vol. 17, No. 08

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History

Received 3 May 2006

Revised 8 May 2006

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