Nature of the onset to temperature chaos

Abstract

Temperature chaos (TC) in spin glasses has been claimed to exist no matter how small the temperature change, $\Delta T$. However, experimental studies exhibit a finite value of $\Delta T$ for the transition to TC. This paper explores the onset of TC with much higher accuracy over a large temperature range. We find that TC is always present, though small for 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 for the onset of TC, from fully reversible to fully chaotic.