Reentrant phenomenon in the exactly solvable mixed spin-1/2 and spin-1 Ising-Heisenberg model on diamond-like decorated planar lattices

TL;DR

This paper provides an exact analysis of a mixed spin-1/2 and spin-1 Ising-Heisenberg model on decorated lattices, revealing complex quantum phases and reentrant phase transitions influenced by lattice topology and coordination number.

Contribution

It introduces an exact solution for the model, demonstrating the presence of unusual quantum phases and reentrant critical behaviour across different lattice structures.

Findings

Existence of complex quantum ground states with two unusual phases

Reentrant phase transitions with multiple critical points

Critical behaviour depends on lattice topology and coordination number

Abstract

Ground-state and finite-temperature behaviour of the mixed spin-1/2 and spin-1 Ising-Heisenberg model on decorated planar lattices consisting of inter-connected diamonds is investigated by means of the generalised decoration-iteration mapping transformation. The obtained exact results clearly point out that this model has a rather complex ground state composed of two unusual quantum phases, which is valid regardless of the lattice topology as well as the spatial dimensionality of the investigated system. It is shown that the diamond-like decorated planar lattices with a sufficiently high coordination number may exhibit a striking critical behaviour including reentrant phase transitions with two or three consecutive critical points.