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The mixed-spin Ising model on a decorated square lattice with two differentdecorating spins of the integer magnitudes S_B = 1 and S_C = 2 placed onhorizontal and vertical bonds of the lattice, respectively, is examined withinan exact analytical approach based on the generalized decoration-iterationmapping transformation. Besides the ground-state analysis, finite-temperatureproperties of the system are also investigated in detail. The most interestingnumerical result to emerge from our study relates to a striking criticalbehaviour of the spontaneously ordered 'quasi-1D' spin system. It was foundthat this quite remarkable spontaneous order arises when one sub-lattice of thedecorating spins (either S_B or S_C) tends towards their 'non-magnetic' spinstate S = 0 and the system becomes disordered only upon further single-ionanisotropy strengthening. The effect of single-ion anisotropy upon thetemperature dependence of the total and sub-lattice magnetization is alsoparticularly investigated.Comment: 17 pages, 6 figure

EXACT RESULTS OF THE MIXED-SPIN ISING MODEL ON A DECORATED SQUARE LATTICE WITH TWO DIFFERENT DECORATING SPINS OF INTEGER MAGNITUDES