Instability of the ferromagnetic phase under random fields in an Ising spin glass with correlated disorder

Abstract

It is well established that the ferromagnetic phase remains stable under random magnetic fields in three and higher dimensions for the ferromagnetic Ising model and the Edwards-Anderson model of spin glasses without correlation in the disorder variables. In this study, we investigate an Ising spin glass with correlated disorder and demonstrate that the ferromagnetic phase becomes unstable under random fields in any dimension, provided that magnetic field chaos exists in the Edwards-Anderson model on the same lattice. Additionally, we show that this instability can also be attributed to disorder (bond) chaos. We further argue that the model with correlated disorder remains in the ferromagnetic phase even in the presence of symmetry-breaking fields, as long as the Edwards-Anderson model on the same lattice exhibits a spin glass phase under a magnetic field. These results underscore the profound impact of spatial correlations in the disorder.

7 pages,1 figure

References in corpus (37)

• Replica Symmetry Breaking in Short-Range Spin Glasses: Theoretical Foundations and Numerical Evidences
• Separation of time and length scales in spin-glasses: temperature as a microscope
• Low-temperature behavior of two-dimensional Gaussian Ising spin glasses
• Quantum nucleation in a single-chain magnet
• Temperature and Disorder Chaos in Three-Dimensional Ising Spin Glasses
• Induced Random Fields in the LiHo${}_x$Y${}_{1-x}$F${}_4$ Quantum Ising Magnet in a Transverse Magnetic Field
• Chaos in temperature in the Sherrington-Kirkpatrick model
• $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$ as a random field Ising ferromagnet
• Quantum spin glass and the dipolar interaction
• Static chaos and scaling behaviour in the spin-glass phase
• Chaos and Universality in a Four-Dimensional Spin Glass
• Memory and chaos in an Ising spin glass
• Chaos in a Two-Dimensional Ising Spin Glass
• Why temperature chaos in spin glasses is hard to observe
• Temperature chaos in 3D Ising Spin Glasses is driven by rare events
• Temperature Chaos and Bond Chaos in the Edwards-Anderson Ising Spin Glass : Domain-Wall Free-Energy Measurements
• Protecting clean critical points by local disorder correlations
• Chaos in spin glasses revealed through thermal boundary conditions
• Disorder chaos in spin glasses
• Temperature chaos is present in off-equilibrium spin-glass dynamics
• Dynamic Variational Study of Chaos: Spin Glasses in Three Dimensions
• Disorder chaos in the Sherrington-Kirkpatrick model with external field
• Magnetic field chaos in the SK Model
• Existence of a Thermodynamic Spin-Glass Phase in the Zero-Concentration Limit of Anisotropic Dipolar Systems
• Universality in p-spin glasses with correlated disorder
• Bond chaos in spin glasses revealed through thermal boundary conditions
• Chaotic temperature and bond dependence of four-dimensional Gaussian spin glasses with partial thermal boundary conditions
• Chaos in Temperature in Diluted Mean-Field Spin-Glasses
• Static Chaos in Spin Glasses against quenched disorder perturbations
• Disordered Ising model with correlated frustration
• Novel disordering mechanism in ferromagnetic systems with competing interactions
• Anomalous distribution of magnetization in an Ising spin glass with correlated disorder
• Ordering Behavior of the Two-Dimensional Ising Spin Glass with Long-Range Correlated Disorder
• Small field chaos in spin glasses: universal predictions from the ultrametric tree and comparison with numerical simulations
• Ising spin glass in a random network with a gaussian random field
• Analyticity of the energy in an Ising spin glass with correlated disorder
• Random-field-induced disordering mechanism in a disordered ferromagnet: Between the Imry-Ma and the standard disordering mechanism

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