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

摘要

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