Machine Learning Many-Body Localization: Search for the Elusive Nonergodic Metal.

Clicks: 151
ID: 97139
2018
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Ranked #198 of 298 articles by views in physical review letters

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Abstract
The breaking of ergodicity in isolated quantum systems with a single-particle mobility edge is an intriguing subject that has not yet been fully understood. In particular, whether a nonergodic but metallic phase exists or not in the presence of a one-dimensional quasiperiodic potential is currently under active debate. In this Letter, we develop a neural-network-based approach to investigate the existence of this nonergodic metallic phase in a prototype model using many-body entanglement spectra as the sole diagnostic. We find that such a method identifies with high confidence the existence of a nonergodic metallic phase in the midspectrum at an intermediate quasiperiodic potential strength. Our neural-network-based approach shows how supervised machine learning can be applied not only in locating phase boundaries but also in providing a way to definitively examine the existence or not of a novel phase.
Reference Key
hsu2018machinephysical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Hsu, Yi-Ting;Li, Xiao;Deng, Dong-Ling;Das Sarma, S;
Journal physical review letters
Year 2018
DOI
10.1103/PhysRevLett.121.245701
URL
Keywords Keywords not found

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