Quantum Physics Division
Faculty of PhysicsAdam Mickiewicz University

The ground state of the spin – ½ Heisenberg antiferromagnet on an Archimedean 4-6-12 lattice

P. Tomczak2 , J. Schulenburg2 , J. Richter2 , A. R. Ferchmin3

1 Department of Physics, Adam Mickiewicz University, ul. Umultowska 85, 61-614, Poznań , Poland
2 Institut für Theoretische Physik, Otto-von-Guericke Universität, Magdeburg, POB 4120, 39016 Magdeburg, Germany
3 Institute of Molecular Physics, Polish Academy of Sciences, Smoluchowskiego 17, 60-179 Poznan, Poland

J. Phys.: Condens. Matter, 13, 3851-3857 (2001)
DOI: 10.1088/0953-8984/13/17/305


An investigation of the Néel long-range order (NLRO) in the ground state of the antiferromagnetic Heisenberg spin system on the two-dimensional, uniform, bipartite lattice consisting of squares, hexagons and dodecagons is presented. On the basis of the analysis of the order parameter and the long-distance correlation function, NLRO is shown to occur in this system. Exact-diagonalization and variational (resonating-valence-bond) methods are applied.


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