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The spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe latticesis exactly solved with the help of decoration-iteration transformation andexact recursion relations. It is shown that the model under investigationexhibits reentrant phase transitions whenever a sufficiently high coordinationnumber of the underlying Bethe lattice is considered.

Rigorous criterion for reentrance in the spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe lattices