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The Ising approximation of the Heisenberg model in a strong magnetic field,with two-, and three-spin exchange interactions are studied on a Husimilattice. This model can be considered as an approximation of the third layer of3He absorbed on the surface of graphite (kagome lattice). Using dynamicapproach we have found exact recursion relation for the partition function. Fordifferent values of exchange parameters and temperature the diagrams ofmagnetization are plotted and showed that magnetization properties of the modelvary from ferromagnetic to antiferromagnetic depending from the value of modelparameters. For antiferromagnetic case magnetization plateau at 1/3 ofsaturation field is obtained. Lyapunov exponent for recursion relation areconsidered and showed absents of bifurcation points in thermodynamic limit. TheYang-Lee zeros are analyzed in terms of neutral fixed points and showed thatYang-Lee zeros of the model are located on the arcs of the circle with theradius R=1.

KAGOME APPROXIMATION FOR 3He ON HUSIMI LATTICE WITH TWO- AND THREE-SITE EXCHANGE INTERACTIONS

KAGOME APPROXIMATION FOR ³He ON HUSIMI LATTICE WITH TWO- AND THREE-SITE EXCHANGE INTERACTIONS