Fractal dimension of spin glasses interfaces in dimensions $d=2$ and $d=3$ via strong disorder renormalization at zero temperature

Abstract

For Gaussian Spin Glasses in low dimensions, we introduce a simple Strong Disorder renormalization procedure at zero temperature. In each disordered sample, the difference between the ground states associated to Periodic and Anti-Periodic boundary conditions defines a system-size Domain Wall. The numerical study in dimensions $d=2$ (up to sizes $2048^2$) and $d=3$ (up to sizes $128^3$) yields fractal Domain Walls of dimensions $d_s(d=2)\simeq 1.27$ and $d_s(d=3)\simeq 2.55$ respectively.

9 pages, 9 figures

References in corpus (5)

• Are Domain Walls in Spin Glasses Described by Stochastic Loewner Evolutions?
• Renormalization group study of random quantum magnets
• Universal logarithmic terms in the entanglement entropy of 2d, 3d and 4d random transverse-field Ising models
• Fractal dimension of domain walls in two-dimensional Ising spin glasses
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Cited by in corpus (7)

• Strong Disorder RG approach - a short review of recent developments
• Fractal dimension of interfaces in Edwards-Anderson spin glasses for up to six space dimensions
• The Fractal Dimension of Interfaces in Edwards-Anderson and Long-range Ising Spin Glasses: Determining the Applicability of Different Theoretical Descriptions
• The droplet-scaling versus replica symmetry breaking debate in spin glasses revisited
• Critical exponents of the spin glass transition in a field at zero temperature
• Ground state interface exponents of the diluted Sherrington-Kirkpatrick spin glass
• Long-range spin glass in a field at zero temperature