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We propose a method to study the magnetic properties of a disordered Isingkagome lattice. The model considers small spin clusters with infinite-rangedisordered couplings and short-range ferromagnetic (FE) or antiferromagneticinteractions. The correlated cluster mean-field theory is used to obtain aneffective single-cluster problem. A finite disorder intensity in FE kagomelattice introduces a cluster spin-glass (CSG) phase. Nevertheless, aninfinitesimal disorder stabilizes the CSG behavior in the geometricallyfrustrated kagome system. Entropy, magnetic susceptibility and spin-spincorrelation are used to describe the interplay between disorder and geometricfrustration (GF). We find that GF plays an important role in the low-disorderCSG phase. However, the increase of disorder can rule out the effect of GF.

Spin glass induced by infinitesimal disorder in geometrically frustrated kagome lattice