On the Ising-Heisenberg model with the doubly decorated network structure I

TL;DR

This paper investigates the magnetic properties of a doubly decorated Ising-Heisenberg model with spin-1/2 and spin-1, revealing multiple phases including ferromagnetic and nontrivial long-range ordered states using an exact mapping method.

Contribution

It introduces an exact mapping transformation to analyze the phase diagram of a complex doubly decorated Ising-Heisenberg model with ferromagnetic interactions.

Findings

Identification of multiple magnetic phases, including ferromagnetic and nontrivial long-range order.

Demonstration of the effectiveness of the exact mapping transformation method.

Insights into the role of interaction parameters in phase stability.

Abstract

Using an exact mapping transformation method, magnetic properties of a spin-1/2 and spin-1 doubly decorated Ising-Heisenberg model are investigated in detail. By assuming that both interaction parameters are ferromagnetic, we found in addition to an usual ferromagnetic phase another two phases with a nontrivial long-range order.