Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices

TL;DR

This paper exactly solves the spin-1/2 Ising-Heisenberg model on decorated Bethe lattices under magnetic field, revealing complex magnetization behaviors including multiple plateaus and quantum effects.

Contribution

It introduces an exact solution method combining decoration-iteration transformation with recursion relations for this model.

Findings

Identifies three magnetization scenarios with up to two plateaus.

Shows intermediate plateaus can be classical or quantum in nature.

Provides detailed ground state and low-temperature magnetization analysis.

Abstract

The spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe lattices is exactly solved in the presence of the longitudinal magnetic field by combining the decoration-iteration mapping transformation with the method of exact recursion relations. In particular, the ground state and low-temperature magnetization process of the ferrimagnetic version of the considered model is investigated in detail. Three different magnetization scenarios with up to two consecutive fractional magnetization plateaus were found, whereas the intermediate magnetization plateau may either correspond to the classical ferrimagnetic spin arrangement and/or the field-induced quantum ferrimagnetic spin ordering without any classical counterpart.