Quenched-Vacancy Induced Spin-Glass Order

TL;DR

This paper demonstrates that in a 3D Ising model with quenched antiferromagnetic bonds, sufficient bond dilution induces a transition from ferromagnetic to spin-glass phase, expanding the spin-glass region.

Contribution

It provides the first numerical renormalization-group evidence that quenched bond dilution induces a spin-glass phase in a 3D Ising model with antiferromagnetic bonds.

Findings

Spin-glass phase expands with quenched bond dilution.

Reentrant transition observed in phase diagram.

Results likely applicable to cubic lattices and site dilution.

Abstract

The ferromagnetic phase of an Ising model in d=3, with any amount of quenched antiferromagnetic bond randomness, is shown to undergo a transition to a spin-glass phase under sufficient quenched bond dilution. This general result, demonstrated here with the numerically exact renormalization-group solution of a d=3 hierarchical lattice, is expected to hold true generally, for the cubic lattice and for quenched site dilution. Conversely, in the ferromagnetic-spinglass-antiferromagnetic phase diagram, the spin-glass phase expands under quenched dilution at the expense of the ferromagnetic and antiferromagnetic phases. In the ferro-spinglass phase transition induced by quenched dilution reentrance is seen, as previously found for the ferro-spinglass transition induced by increasing the antiferromagnetic bond concentration.