Energy barriers in spin glasses

Abstract

For an Ising spin glass on a hierarchical lattice, we show that the energy barrier to be overcome during the flip of a domain of size L scales as L to the power d-1 for all dimensions d. We do this by investigating appropriate lower bounds to the barrier energy, which can be evaluated using an algorithm that remains fast for large system sizes and dimensions. The asymptotic limit of infinite dimensions is evaluated analytically.

4 pages, 5 figures

References in corpus (4)

• Spin Anisotropy and Slow Dynamics in Spin Glasses
• Corrections to Scaling are Large for Droplets in Two-Dimensional Spin Glasses
• Temperature Chaos, Rejuvenation and Memory in Migdal-Kadanoff Spin Glasses
• A real space renormalization group approach to spin glass dynamics

Cited by in corpus (5)

• Quantum Annealing - Foundations and Frontiers
• Determining Energy Barriers by Iterated Optimization: The Two-Dimensional Ising Spin Glass
• Dynamical barriers of pure and random ferromagnetic Ising models on fractal lattices
• Scattering theory of transport through disordered magnets
• Field-Induced Ferroelectric Phase Transition Dynamics in PMN-PT compositions near the Morphotropic Phase Boundary