Phase transitions of geometrically frustrated mixed spin-1/2 and spin-1 Ising-Heisenberg model on diamond-like decorated planar lattices

TL;DR

This paper investigates phase transitions in a mixed spin-1/2 and spin-1 Ising-Heisenberg model on decorated lattices, revealing complex critical behaviors including reentrant phase transitions influenced by lattice topology.

Contribution

It provides a systematic analysis of finite-temperature phase diagrams for the model on various lattices using the decoration-iteration transformation, highlighting the impact of lattice topology on critical phenomena.

Findings

Both models exhibit reentrant phase transitions.

Higher lattice coordination enhances reentrant behavior.

Critical behavior varies with lattice topology.

Abstract

Phase transitions of the mixed spin-1/2 and spin-1 Ising-Heisenberg model on several decorated planar lattices consisting of interconnected diamonds are investigated within the framework of the generalized decoration-iteration transformation. The main attention is paid to the systematic study of the finite-temperature phase diagrams in dependence on the lattice topology. The critical behaviour of the hybrid quantum-classical Ising-Heisenberg model is compared with the relevant behaviour of its semi-classical Ising analogue. It is shown that both models on diamond-like decorated planar lattices exhibit a striking critical behaviour including reentrant phase transitions. The higher the lattice coordination number is, the more pronounced reentrance may be detected.