On the Reentrant Transitions and Magnetization Plateaus in the Spin-1/2 Ising–Heisenberg Model on Diamond-Like Decorated Bethe Lattices

Abstract

A critical behavior and magnetization process of the frustrated spin-1/2 Ising–Heisenberg model on diamond-like decorated Bethe lattices is examined within the framework of the decoration–iteration transformation and exact recursion relations. It is demonstrated that the investigated spin model with a sufficiently high coordination number of the Bethe lattice may exhibit reentrant phase transitions. Three different magnetization scenarios with up to two consecutive fractional plateaus can be detected in the low-temperature magnetization curve, whereas the intermediate magnetization plateau either corresponds to the classical ferrimagnetic spin alignment and/or the more striking quantum monomer–dimer spin arrangement.