Universality and universal finite-size scaling functions in four-dimensional Ising spin glasses

Abstract

We study the four-dimensional Ising spin glass with Gaussian and bond-diluted bimodal distributed interactions via large-scale Monte Carlo simulations and show via an extensive finite-size scaling analysis that four-dimensional Ising spin glasses obey universality.

12 pages, 9 figures, 4 tables

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Cited by in corpus (17)

• Critical parameters of the three-dimensional Ising spin glass
• Efficient Cluster Algorithm for Spin Glasses in Any Space Dimension
• Thermodynamic glass transition in a spin glass without time-reversal symmetry
• Spin glasses in a field: Three and four dimensions as seen from one space dimension
• The correspondence between long-range and short-range spin glasses
• The random Blume-Capel model on cubic lattice: first order inverse freezing in a 3D spin-glass system
• Support for the value 5/2 for the spin glass lower critical dimension at zero magnetic field
• Evidence for universal scaling in the spin-glass phase
• The nature of the different zero-temperature phases in discrete two-dimensional spin glasses: Entropy, universality, chaos and cascades in the renormalization group flow
• Efficient evaluation of high-order moments and cumulants in tensor network states
• Ultrametric probe of the spin-glass state in a field
• The Ising Spin Glass in dimension four
• Ising Spin Glasses on Wheatstone-Bridge Hierarchical Lattices
• Evidence for non-universal scaling in dimension four Ising spin glasses
• Spatial correlation functions and dynamical exponents in very large samples of 4D spin glasses
• Renormalization Group as a Koopman Operator
• Ising Spin Glasses in dimension five