History-dependent relaxation and the energy scale of correlation in the Electron-Glass

TL;DR

This study investigates how history affects energy relaxation in Anderson-insulating indium-oxide films, revealing logarithmic relaxation laws and the role of symmetry and energy scales in correlation dynamics.

Contribution

It introduces a new experimental method to analyze deviations in relaxation dynamics and explores the relationship between simple-aging and symmetry in energy relaxation.

Findings

Logarithmic relaxation law observed over five decades.

Deviations from logarithmic behavior occur after a certain time t_w.

Simple-aging persists even when relaxation symmetry is perturbed.

Abstract

We present an experimental study of the energy-relaxation in Anderson-insulating indium-oxide films excited far from equilibrium. In particular, we focus on the effects of history on the relaxation of the excess conductance dG. The natural relaxation law of dG is logarithmic, namely dG=-log(t). This may be observed over more than five decades following, for example, cool-quenching the sample from high temperatures. On the other hand, when the system is excited from a state S_{o} in which it has not fully reached equilibrium to a state S_{n}, the ensuing relaxation law is logarithmic only over time t shorter than the time t_{w} it spent in S_{o}. For times t>t_{w} dG(t) show systematic deviation from the logarithmic dependence. It was previously shown that when the energy imparted to the system in the excitation process is small, this leads to dG=P(t/t_{w}) (simple-aging). Here we test the conjecture that `simple-aging' is related to a symmetry in the relaxation dynamics in S_{o} and S_{n}. This is done by using a new experimental procedure that is more sensitive to deviations in the relaxation dynamics. It is shown that simple-aging may still be obeyed (albeit with a modified P(t/t_{w})) even when the symmetry of relaxation in S_{o} and S_{n} is perturbed by a certain degree. The implications of these findings to the question of aging, and the energy scale associated with correlations are discussed.