Study of Ferrimagnetic Bond-diluted Ising-like Octahedral and Double Tetrahedral Chains with Multi-spin Interactions

We herein treat using the finite cluster approximation (FCA), two defective octahedral and double-tetrahedral chain-like structures with multi-spin interactions, where the nodal and the square (or triangular) cluster sites are occupied respectively by spin-3/2 and spin-1/2. The impact of the bond concentration p and the multi-spin interactions (J₄, J₃) on the phase diagrams and magnetizations has been thoroughly examined. First, by discarding multi-spin interactions, the second-order transition consistently manifests with the possibility of compensation behavior only for the double-tetrahedral chain under feeble dilution. Interestingly, the insertion of multi-spin interactions plays a relevant role in the appearance of the compensation phenomena with a multitude of T_comp profiles. In addition, a variety of interesting features such as horizontal reentrance and tricritical behavior emerge. Finally, at low temperatures according to p and J₄ (or J₃) strength, the order is even stable (T_c ≠ 0) or will be destroyed (T_c = 0) at a critical threshold p_c.