Ground state of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional square-hexagonal-dodecagonal lattice

Abstract

Up to now, the existence of the the magnetic Neel Long Range Order (NLRO) in nearest neighbor, spin-1/2 antiferromagnetic (AF) lattice systems has been examined for seven, from the eleven existing, two-dimensional, uniform lattices. Plaquettes forming these uniform (Archimedean) lattices (e.g. square, triangular, kagome) are different regular polygons. An investigation of the NLRO in the ground state of AF spin systems on the seventh uniform (bipartite) lattice consisting of squares, hexagons and dodecagons is presented. The NLRO is shown to occur in this system. A simple conjecture concerning the existence of the NLRO in the ground state of antiferromagnetic, spin-1/2 systems on two dimensional, Archimedean lattices, is formulated.

4 pages, LaTeX, 4 ps figures included, accepted for publication in Phys.Rev.B

References in corpus (2)

• Order versus Disorder in the Quantum Heisenberg Antiferromagnet on the Kagom{é} lattice: an approach through exact spectra analysis
• Phase Diagram of the S = 1/2 Frustrated Coupled Ladder System

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• Spin glass properties of an Ising antiferromagnet on the Archimedean (3,12^2) lattice
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Ground state of the spin-1/2 Heisenberg antiferromagnet on an Archimedean 4-6-12 lattice