Deep Learning the Quantum Phase Transitions in Random Two-Dimensional Electron Systems

Tomoki Ohtsuki; Tomi Ohtsuki

doi:10.7566/jpsj.85.123706

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arXiv · 1610.00462

Deep Learning the Quantum Phase Transitions in Random Two-Dimensional Electron Systems

Tomoki Ohtsuki·Tomi Ohtsuki

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Abstract

Random electron systems show rich phases such as Anderson insulator, diffusive metal, quantum and anomalous quantum Hall insulator, Weyl semimetal, as well as strong/weak topological insulators. Eigenfunctions of each matter phase have specific features, but due to the random nature of systems, judging the matter phase from eigenfunctions is difficult. Here we propose the deep learning algorithm to capture the features of eigenfunctions. Localization-delocalization transition as well as disordered Chern insulator-Anderson insulator transition is discussed.

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Tomoki Ohtsuki, Tomi Ohtsuki. 2016-10-03. Deep Learning the Quantum Phase Transitions in Random Two-Dimensional Electron Systems. https://doi.org/10.7566/jpsj.85.123706

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