Fractal dimension of spin glasses interfaces in dimensions $d=2$ and $d=3$ via strong disorder renormalization at zero temperature - CEA - Commissariat à l’énergie atomique et aux énergies alternatives Access content directly
Journal Articles Fractals Year : 2015

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.
Fichier principal
Vignette du fichier
1411.5791v1.pdf (1.93 Mo) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

cea-01322516 , version 1 (27-05-2016)

Identifiers

Cite

Cécile Monthus. Fractal dimension of spin glasses interfaces in dimensions $d=2$ and $d=3$ via strong disorder renormalization at zero temperature. Fractals, 2015, 23 (04), ⟨10.1142/S0218348X15500425⟩. ⟨cea-01322516⟩
23 View
100 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More