Spin glass induced by infinitesimal disorder in geometrically frustrated kagome lattice

TL;DR

This paper investigates how infinitesimal disorder induces a cluster spin-glass phase in a geometrically frustrated kagome lattice, revealing the critical role of disorder and frustration interplay in magnetic properties.

Contribution

It introduces a correlated cluster mean-field approach to study the emergence of spin-glass behavior from infinitesimal disorder in a disordered Ising kagome lattice.

Findings

Infinitesimal disorder stabilizes the cluster spin-glass phase.

Geometric frustration influences low-disorder spin-glass behavior.

Increasing disorder diminishes the effect of geometric frustration.

Abstract

We propose a method to study the magnetic properties of a disordered Ising kagome lattice. The model considers small spin clusters with infinite-range disordered couplings and short-range ferromagnetic (FE) or antiferromagnetic interactions. The correlated cluster mean-field theory is used to obtain an effective single-cluster problem. A finite disorder intensity in FE kagome lattice introduces a cluster spin-glass (CSG) phase. Nevertheless, an infinitesimal disorder stabilizes the CSG behavior in the geometrically frustrated kagome system. Entropy, magnetic susceptibility and spin-spin correlation are used to describe the interplay between disorder and geometric frustration (GF). We find that GF plays an important role in the low-disorder CSG phase. However, the increase of disorder can rule out the effect of GF.