Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-09-03
Physics
Condensed Matter
Statistical Mechanics
4 pages, LaTeX, 4 ps figures included, accepted for publication in Phys.Rev.B
Scientific paper
10.1103/PhysRevB.59.107
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.
Richter Jadwiga
Tomczak Piotr
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