Phase Diagrams of Three-Dimensional Anderson and Quantum Percolation Models Using Deep Three-Dimensional Convolutional Neural Network
作者: Tomohiro ManoTomi Ohtsuki
刊名: Journal of the Physical Society of Japan, 2017, Vol.86 (11)
来源数据库: The physical Society of Japan
DOI: 10.7566/JPSJ.86.113704
原始语种摘要: The three-dimensional Anderson model is a well-studied model of disordered electron systems that shows the delocalization–localization transition. As in our previous papers on two- and three-dimensional (2D, 3D) quantum phase transitions [ J. Phys. Soc. Jpn. 85 , 123706 (2016) , 86 , 044708 (2017) ], we used an image recognition algorithm based on a multilayered convolutional neural network. However, in contrast to previous papers in which 2D image recognition was used, we applied 3D image recognition to analyze entire 3D wave functions. We show that a full phase diagram of the disorder-energy plane is obtained once the 3D convolutional neural network has been trained at the band center. We further demonstrate that the full phase diagram for 3D quantum bond and site percolations can be...
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关键词翻译
关键词翻译
  • recognition 识别
  • transition 转移
  • image 
  • convolutional 卷积
  • demonstrate 说明
  • neural 神经系统的
  • multilayered 多层
  • delocalization 非局部化
  • algorithm 算法
  • previous 先前的