Abstract
Geometrically frustrated spin- 1 2 quantum Heisenberg model on the triangulated (triangles-in-triangles) Kagomé lattice is examined by the use of variational procedure based on the Bogoliubov inequality. The investigated model system has an obvious relevance in elucidating magnetic properties of a series of polymeric coordination compounds Cu 9 X 2 ( cpa ) 6 ( X = F , Cl, Br and cpa=carboxypentonic acid). A striking magnetization curve with the 1 3 -plateau implies an appearance of compromised non-collinear spin arrangement within the plateau state, whereas a presence of the 5 9 -plateau with a collinear uud spin alignment cannot be definitely ruled out at higher fields. The thermal variation of the susceptibility times temperature data exhibits typical features of the quantum ferrimagnet.
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