تقرير
Phase diagram study of a two-dimensional frustrated antiferromagnet via unsupervised machine learning
| العنوان: | Phase diagram study of a two-dimensional frustrated antiferromagnet via unsupervised machine learning |
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| المؤلفون: | Acevedo, S., Arlego, M., Lamas, C. A. |
| المصدر: | Phys. Rev. B 103, 134422 (2021) |
| سنة النشر: | 2021 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Statistical Mechanics |
| الوصف: | We apply unsupervised learning techniques to classify the different phases of the $J_1-J_2$ antiferromagnetic Ising model on the honeycomb lattice. We construct the phase diagram of the system using convolutional autoencoders. These neural networks can detect phase transitions in the system via `anomaly detection', without the need for any label or a priori knowledge of the phases. We present different ways of training these autoencoders and we evaluate them to discriminate between distinct magnetic phases. In this process, we highlight the case of high temperature or even random training data. Finally, we analyze the capability of the autoencoder to detect the ground state degeneracy through the reconstruction error. Comment: 11 pages, 15 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevB.103.134422 |
| URL الوصول: | http://arxiv.org/abs/2101.10161 |
| رقم الأكسشن: | edsarx.2101.10161 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevB.103.134422 |
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