Diluted antiferromagnet in a ferromagnetic enviroment

TL;DR

This paper investigates how the spontaneous magnetization of a ferromagnetic system persists when antiferromagnetic interactions are randomly introduced, analyzing static properties and comparing quenched and annealed approximations.

Contribution

It provides a detailed analysis of the robustness of ferromagnetic magnetization under random antiferromagnetic perturbations, including static and annealed approximation approaches.

Findings

Magnetization persistence depends on the type of approximation used.

Differences between quenched and annealed results are discussed.

Critical phenomena framework applied to network robustness under random attacks.

Abstract

The question of robustness of a network under random ``attacks'' is treated in the framework of critical phenomena. The persistence of spontaneous magnetization of a ferromagnetic system to the random inclusion of antiferromagnetic interactions is investigated. After examing the static properties of the quenched version (in respect to the random antiferromagnetic interactions) of the model, the persistence of the magnetization is analysed also in the annealed approximation, and the difference in the results are discussed.