Ground state of the spin-1/2 Heisenberg antiferromagnet on an Archimedean 4-6-12 lattice

Abstract

An investigation of the Néel Long Range Order (NLRO) in the ground state of antiferromagnetic Heisenberg spin system on the two-dimensional, uniform, bipartite lattice consisting of squares, hexagons and dodecagons is presented. Basing on the analysis of the order parameter and the long-distance correlation function the NLRO is shown to occur in this system. Exact diagonalization and variational (Resonating Valence Bond) methods are applied.

4 pages, 6 figures

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