Cluster-glass phase in pyrochlore XY antiferromagnets with quenched disorder

Abstract

We study the impact of quenched disorder (random exchange couplings or site dilution) on easy-plane pyrochlore antiferromagnets. In the clean system, order-by-disorder selects a magnetically ordered state from a classically degenerate manifold. In the presence of randomness, however, different orders can be chosen locally depending on details of the disorder configuration. Using a combination of analytical considerations and classical Monte-Carlo simulations, we argue that any long-range-ordered magnetic state is destroyed beyond a critical level of randomness where the system breaks into magnetic domains due to random exchange anisotropies, becoming, therefore, a glass of spin clusters, in accordance with the available experimental data. These random anisotropies originate from off-diagonal exchange couplings in the microscopic Hamiltonian, establishing their relevance to other magnets with strong spin-orbit coupling.

6 pages, 2 figures. Supplemental Material: 6 pages, 5 figures. Published version

References in corpus (16)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
• Crystalline Electric Field Randomness in the Triangular Lattice Spin-Liquid YbMgGaO${}_4$
• Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7
• Quantum order by disorder and accidental soft mode Er2Ti2O7
• Spin Freezing in Geometrically Frustrated Antiferromagnets with Weak Disorder
• Rods of Neutron Scattering Intensity in Yb2Ti2O7: Compelling Evidence for Significant Anisotropic Exchange in a Magnetic Pyrochlore Oxide
• Structural distortion and the spin liquid state in Tb2Ti2O7
• Order from structural disorder in $XY$ pyrochlore antiferromagnet $\mathrm{E}{\mathrm{r}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Ordered Phases and Phase Transitions in The Stacked Triangular Ising Antiferromagnet CsCoCl${}_3$ and CsCoBr${}_3$
• Order-by-disorder near criticality in $XY$ pyrochlore magnets
• Large-scale Monte Carlo simulations of the three-dimensional XY spin glass
• Order Induced by Dilution in Pyrochlore XY Antiferromagnets
• Magnetic dilution and domain selection in the XY pyrochlore antiferromagnet Er${}_2$Ti${}_2$O${}_7$
• Unveiling the nature of three dimensional orbital ordering transitions: the case of $e_g$ and $t_{2g}$ models on the cubic lattice
• Effect of Dilute Random Field on Continuous-Symmetry Order Parameter

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