Thermalization Processes in Interacting Anderson Insulators

Abstract

This paper describes experiments utilizing a unique property of electron-glasses to gain information on the fundamental nature of the interacting Anderson-localized phase. The methodology is based on measuring the energy absorbed by the electronic system from alternating electromagnetic fields as function of their frequency. Experiments on three-dimensional (3D) amorphous indium-oxide films suggest that, in the strongly localized regime, the energy spectrum is discrete and inelastic electron-electron events are strongly suppressed. These results imply that, at low temperatures, electron thermalization and finite conductivity depend on coupling to the phonon bath. The situation is different for samples nearing the metal-insulator transition; in insulating samples that are close to the mobility-edge, energy absorption persists to much higher frequencies. Comparing these results with previously studied 2D samples [Ovadyahu, Phys. Rev. Lett., 108, 156602 (2012)] demonstrates that the mean-level spacing (on a single-particle basis) is not the only relevant scale in this problem. The possibility of de-localization by many-body effects and the relevance of a nearby mobility-edge (which may be a many-body edge) are discussed.

Published version

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• Many-body localization transition with power-law interactions: Statistics of eigenstates
• Multifractality of wave functions on a Cayley tree: From root to leaves
• Eigenstate correlations around many-body localization transition
• Logarithmic entanglement growth from disorder-free localization in the two-leg compass ladder
• Many-body delocalization transition and relaxation in a quantum dot
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• Exponential Orthogonality Catastrophe at the Anderson Metal-Insulator Transition
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• Electron glass signatures up to room temperature in disordered insulators