A real space renormalization group approach to spin glass dynamics

TL;DR

This paper introduces a real space renormalization group method to analyze the non-equilibrium dynamics of spin glasses, revealing temperature chaos, aging, and rejuvenation effects consistent with experimental findings.

Contribution

It presents a novel coarse-grained renormalization approach to study spin glass dynamics, connecting temperature chaos with memory loss and rejuvenation phenomena.

Findings

Demonstrates temperature chaos causes memory loss in spin glasses.

Reveals rejuvenation effects in temperature shift protocols.

Shows behavior aligns with experimental observations.

Abstract

The slow non-equilibrium dynamics of the Edwards-Anderson spin glass model on a hierarchical lattice is studied by means of a coarse-grained description based on renormalization concepts. We evaluate the isothermal aging properties and show how the occurrence of temperature chaos is connected to a gradual loss of memory when approaching the overlap length. This leads to rejuvenation effects in temperature shift protocols and to rejuvenation--memory effects in temperature cycling procedures with a pattern of behavior parallel to experimental observations.