2017/07/10 by Schmidt, Heinz-Jürgen
#FOS: Physical sciences #Other Condensed Matter (cond-mat.other)
paper · doi:10.48550/arxiv.1707.02859
We apply the theory of ground states for classical, finite, Heisenberg spin systems previously published to a couple of spin systems that can be considered as finite models K12, K15 and K18 of the AF Kagome lattice. The model K12 is isomorphic to the cuboctahedron. In particular, we find three-dimensional ground states that cannot be viewed as resulting from the well-known independent rotation of subsets of spin vectors. For a couple of ground states with translational symmetry we calculate the corresponding wave numbers. Finally we study the model K12w without boundary conditions which exhibits new phenomena as, e.~g., two-dimensional families of three-dimensional ground states.