Numerical test of the replica-symmetric Hamiltonian for the correlations of the critical state of spin glasses in a field

Abstract

A growing body of evidence indicates that the sluggish low-temperature dynamics of glass formers (e.g. supercooled liquids, colloids or spin glasses) is due to a growing correlation length. Which is the effective field theory that describes these correlations? The natural field theory was drastically simplified by Bray and Roberts in 1980. More than forty years later, we confirm the tenets of Bray and Roberts theory by studying the Ising spin glass in an externally applied magnetic field, both in four spatial dimensions (data obtained from the Janus collaboration) and on the Bethe lattice.

8 pages, 4 figures, accepted in PRE

References in corpus (12)

• Supercooled Liquids for Pedestrians
• Absence of an Almeida-Thouless line in Three-Dimensional Spin Glasses
• Diluted one-dimensional spin glasses with power law decaying interactions
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• Critical Dynamics in Glassy Systems
• The three dimensional Ising spin glass in an external magnetic field: the role of the silent majority
• Unexpected upper critical dimension for spin glass models in a field predicted by the loop expansion around the Bethe solution at zero temperature
• Searching for the Gardner transition in glassy glycerol
• Critical Off-Equilibrium Dynamics in Glassy Systems
• Spin glasses in a field show a phase transition varying the distance among real replicas (and how to exploit it to find the critical line in a field)

Cited by in corpus (5)

• Field theory for zero temperature soft anharmonic spin glasses in a field
• Evidence of a second-order phase transition in the six-dimensional Ising spin glass in a field
• Quantifying memory in spin glasses
• Critical exponents of the spin glass transition in a field at zero temperature
• Evidence of de Almeida-Thouless line below six dimensions