Article
Machine Learning Phases of Strongly Correlated Fermions
Physical Review X
(2017)
Abstract
Machine learning offers an unprecedented perspective for the problem of classifying phases in condensed matter physics. We employ neural network machine learning techniques to distinguish finite-temperature phases of the strongly-correlated fermions on cubic lattices. We show that a three-dimensional convolutional network trained on auxiliary field configurations produced by quantum Monte Carlo simulations of the Hubbard model can correctly predict the magnetic phase diagram of the model at the average density of one (half filling). We then use the network, trained at half filling, to explore the trend in the transition temperature as the system is doped away from half filling. This transfer learning approach predicts that the instability to the magnetic phase extends to at least 5% doping in this region. Our results pave the way for other machine learning applications in correlated quantum many-body systems.
Keywords
- Computational Physics,
- Condensed Matter Physics,
- Strongly Correlated Materials
Disciplines
Publication Date
August 30, 2017
DOI
10.1103/PhysRevX.7.031038
Publisher Statement
This article was published in Physical Review X, volume 7, issue 3, July-September, 2017 and can be found online at this link: https://doi.org/10.1103/PhysRevX.7.031038
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Citation Information
Kelvin Ch'ng, Juan Carrasquilla, Roger G. Melko and Ehsan Khatami. "Machine Learning Phases of Strongly Correlated Fermions" Physical Review X Vol. 7 Iss. 3 (2017) ISSN: 2160-3308 Available at: http://works.bepress.com/ehsan_khatami/38/
Creative Commons license
This work is licensed under a Creative Commons CC_BY International License.