Nature of temperature chaos in spin glasses

TL;DR

This paper investigates temperature chaos in spin glasses, revealing that it is always present but grows rapidly with temperature difference, aligning with theoretical predictions and spanning from reversible to fully decorrelated states.

Contribution

The study provides high-resolution analysis of temperature chaos onset in spin glasses, confirming its universal presence and detailed growth behavior across temperature ranges.

Findings

Temperature chaos exists at all temperature differences studied.

Rapid growth of chaos occurs at a specific temperature difference predicted by theory.

The full spectrum of chaos from reversible to decorrelated states is observed.

Abstract

Temperature chaos (TC) in spin glasses has been claimed to exist no matter how small the temperature change, $\Delta T$. However, experimental studies have exhibited a finite value of $\Delta T$ for a transition to TC. This paper explores the onset of TC with much higher resolution than before and over a larger temperature range. We find that TC is always present, though small at the smallest $\Delta T$ that we can reliably measure. However, it grows rapidly as $\Delta T$ increases, the region of rapid growth coinciding with the $\Delta T$ predicted from renormalization group arguments and observed experimentally. We are able to transcend the full range of TC, from the completely reversible state to one that is maximally decorrelated from the initially prepared state.