Quenched-Vacancy Induced Spin-Glass Order

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.

Added data, references. 4 pages, 4 figures. Published version

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• Lower-Critical Spin-Glass Dimension from 23 Sequenced Hierarchical Models
• The Chiral Potts Spin Glass in d=2 and 3 Dimensions
• Spin Wave Excitations in AFe${}_{1.5}$Se${}_2$ (A=K, Tl): Analytical Study
• Random site dilution properties of frustrated magnets on a hierarchical lattice
• Nematic Ordering in the Heisenberg Spin-Glass System in d=3 Dimensions
• Frustrated Potts: Multiplicity Eliminates Chaos via Reentrance
• Critical Percolation Phase and Thermal BKT Transition in a Scale-Free Network with Short-Range and Long-Range Random Bonds