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

* Corresponding author
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.
Document type :
Journal articles
Domain :

Cited literature [38 references]

https://hal-cea.archives-ouvertes.fr/cea-01322516
Contributor : Emmanuelle de Laborderie Connect in order to contact the contributor
Submitted on : Friday, May 27, 2016 - 11:35:22 AM
Last modification on : Monday, December 13, 2021 - 9:16:03 AM
Long-term archiving on: : Sunday, August 28, 2016 - 10:20:40 AM

### File

1411.5791v1.pdf
Files produced by the author(s)

### Citation

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

### Metrics

Les métriques sont temporairement indisponibles