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The magnetization process and adiabatic demagnetization of theantiferromagnetic spin-1/2 XXZ Heisenberg clusters with the shape of regularpolyhedra (tetrahedron, octahedron, cube, icosahedron and dodecahedron) areexamined using the exact diagonalization method. It is demonstrated that aquantum (xy) part of the XXZ exchange interaction is a primary cause forpresence of additional intermediate magnetization plateaux and steps, which aretotally absent in the limiting Ising case. The only exception to this rule isthe spin-1/2 XXZ Heisenberg tetrahedron, which shows just a quantitative shiftof the level-crossing fields related to two magnetization steps. It isevidenced that the spin-1/2 XXZ Heisenberg regular polyhedra exhibit anenhanced magnetocaloric effect in a proximity of the magnetization steps andjumps, which are accompanied with a rapid drop (rise) of temperature just above(below) of the level-crossing field when the magnetic field is removedadiabatically.

Enhanced magnetocaloric effect in a proximity of magnetization steps and jumps of spin-1/2 XXZ Heisenberg regular polyhedra