Ising spin glass transition in magnetic field out of mean-field

Abstract

The spin-glass transition in external magnetic field is studied both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the inverse power of the distance. Varying the power in this long-range model corresponds, in a one-to-one relationship, to change the dimension in spin-glass short-range models. Evidence for a spin-glass transition in magnetic field is found also for systems whose equivalent dimension is below the upper critical dimension at zero magnetic field.

5 pages, 1 table, 6 figures, data analysis mistake corrected, new figures, new scaling approach to critical properties introduced

References in corpus (6)

• Absence of an Almeida-Thouless line in Three-Dimensional Spin Glasses
• Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses
• Diluted one-dimensional spin glasses with power law decaying interactions
• Behavior of Ising Spin Glasses in a Magnetic Field
• Scaling Analysis of Domain-Wall Free-Energy in the Edwards-Anderson Ising Spin Glass in a Magnetic Field
• Almeida-Thouless transition below six dimensions

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• The correspondence between long-range and short-range spin glasses
• Spin Glass in a Field: a New Zero-Temperature Fixed Point in Finite Dimensions
• Dynamical transition in the D = 3 Edwards-Anderson spin glass in an external magnetic field
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• Numerical studies of a one-dimensional 3-spin spin-glass model with long-range interactions
• Optical computation of a spin glass dynamics with tunable complexity
• Instability of the mean-field states and generalization of phase separation in long-range interacting systems
• Universal critical behavior of the 2d Ising spin glass
• From local to global ground states in Ising spin glasses
• Parallel Tempering Simulation of the three-dimensional Edwards-Anderson Model with Compact Asynchronous Multispin Coding on GPU
• Unexpected upper critical dimension for spin glass models in a field predicted by the loop expansion around the Bethe solution at zero temperature
• One-step replica-symmetry-breaking phase below the de Almeida-Thouless line in low-dimensional spin glasses
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• Optimized GPU simulation of continuous-spin glass models
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• The ordered phase of the one-dimensional Ising spin glass with long-range interactions
• Finite-size critical scaling in Ising spin glasses in the mean-field regime
• The Ising M-p-spin mean-field model for the structural glass: continuous vs. discontinuous transition
• The Fractal Dimension of Interfaces in Edwards-Anderson and Long-range Ising Spin Glasses: Determining the Applicability of Different Theoretical Descriptions
• Phase Transitions in the 1-d Long-Range Diluted Heisenberg Spin Glass
• Spin glasses in the non-extensive regime
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• Monte Carlo simulations of the three-dimensional XY spin glass focusing on the chiral and the spin order
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• Chaos properties of the one-dimensional long-range Ising spin-glass
• Finite size scaling of the de Almeida-Thouless instability in random sparse networks
• Critical Exponents of the Random Field Hierarchical Model
• Spin-glass dynamics: experiment, theory and simulation
• One-loop topological expansion for spin glasses in the large connectivity limit
• Evidence of a second-order phase transition in the six-dimensional Ising spin glass in a field
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