Machine learning of phases and structures for model systems in physics

TL;DR

This paper reviews recent machine learning advancements in identifying phases and structures in physical systems, highlighting contributions to various models and the enhancement of traditional methods.

Contribution

The paper presents new applications of supervised and unsupervised machine learning techniques to determine phases and structures in several complex physical models.

Findings

Successful application of ML to 2D site percolation

ML insights into 3D Anderson localization

Prediction of electron diffraction patterns using ML

Abstract

The detection of phase transitions is a fundamental challenge in condensed matter physics, traditionally addressed through analytical methods and direct numerical simulations. In recent years, machine learning techniques have emerged as powerful tools to complement these standard approaches, offering valuable insights into phase and structure determination. Additionally, they have been shown to enhance the application of traditional methods. In this work, we review recent advancements in this area, with a focus on our contributions to phase and structure determination using supervised and unsupervised learning methods in several systems: (a) 2D site percolation, (b) the 3D Anderson model of localization, (c) the 2D $J_1$-$J_2$ Ising model, and (d) the prediction of large-angle convergent beam electron diffraction patterns.