Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain

The geometric frustration in a class of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chains is
\ninvestigated by combining three exact analytical techniques: Kambe projection method, decoration-iteration
\ntransformation and transfer-matrix method. The ground state, the magnetization process and the specific heat
\nas a function of the external magnetic field are particularly examined for different strengths of the geometric
\nfrustration. It is shown that the increase of the Heisenberg spin value S raises the number of intermediate
\nmagnetization plateaux, which emerge in magnetization curves provided that the ground state is highly degenerate
\non behalf of a sufficiently strong geometric frustration. On the other hand, all intermediate magnetization
\nplateaux merge into a linear magnetization versus magnetic field dependence in the limit of classical Heisenberg
\nspin S → ∞. The enhanced magnetocaloric effect with cooling rate exceeding the one of paramagnetic
\nsalts is also detected when the disordered frustrated phase constitutes the ground state and the external
\nmagnetic field is small enough.