A Numerical Study of Ultrametricity in Finite Dimensional Spin Glasses

Abstract

We use a constrained Monte Carlo technique to analyze ultrametric features of a 4 dimensional Edwards-Anderson spin glass with quenched couplings J=\pm 1. We find that in the large volume limit an ultrametric structure emerges quite clearly in the overlap of typical equilibrium configurations.

8 one column pages, latex, 4 figures with epsfig.sty

References in corpus (4)

• Phase Transition in the Three-Dimensional $\pm J$ Ising Spin Glass
• Numerical Evidence for Spontaneously Broken Replica Symmetry in 3D Spin Glasses
• On the 3d Ising Spin Glass
• Dynamic fluctuations in a Short-Range Spin Glass model

Cited by in corpus (11)

• Replica Symmetry Breaking in Short-Range Spin Glasses: Theoretical Foundations and Numerical Evidences
• Ultrametricity in the Edwards-Anderson Model
• On the origin of ultrametricity
• Are Ground States of 3d +/-J Spin Glasses ultrametric ?
• Some considerations of finite dimensional spin glasses
• Is dynamic ultrametricity observable in spin glasses?
• Ultrametricity in 3D Edwards-Anderson spin glasses
• Tricritical Points in the Sherrington-Kirkpatrick Model in the Presence of Discrete Random Fields
• A Quantitative Clustering Approach to Ultrametricity in Spin Glasses
• Dynamic ultrametricity in finite dimensional spin glasses
• Physics of glassy systems