Abstract

Abstract The random mixture of the ferro- and antiferromagnetic exchange integrals (bonds) on a triangular cactus tree, which represents properties of the close packed lattices (and also of the Kagome lattice), such as the plane triangular lattice and the fcc lattice, is discussed. It is shown that the glass-like phase (GLP) exists, in addition to the ferromagnetic and paramagnetic phases. The phase boundaries between them are determined.

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