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J_{1}-J_{2}-J_{3} Model with Long-Range Lieb-Mattis Interaction

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Krüger S. E., Richter J.

Acta Physica Polonica A

1997

vol. 91

issue 2

377-380

Stimulated by the two-dimensional frustrated Heisenberg antiferromagnet with first-, second-, and third-neighbor couplings (J_{1}-J_{2}-J_{3} model) we consider a corresponding three-parameter model with a long-range antiferromagnetic Lieb-Mattis interaction. This model can be solved exactly and leads to a better understanding of the role of frustration in the J_{1}-J_{2}-J_{3} model. We calculate the correlations in the groundstate and consider their finite size behavior. Furthermore we present the full thermodynamic phase diagram. We find the possibility of a disordered phase at T=0.

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1 Acta Physica Polonica A

1 1997

1 Krüger S. E.

1 Richter J.

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J_{1}-J_{2}-J_{3} Model with Long-Range Lieb-Mattis Interaction