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

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

2001-04-09

arxiv.org/abs/cond-mat/0104137v1

J. Phys.: Condens. Matter 13 (2001) 3851

Physics

Condensed Matter

Statistical Mechanics

4 pages, 6 figures

Scientific paper

10.1088/0953-8984/13/17/305

An investigation of the N\'eel 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.

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