Artificial Intelligence-Driven Discovery of Magnetic Higher-Order Topological Corner States: A Review From Theoretical Framework to Large-Scale Screening

Authors

  • Chengtian Liang School of Physics, Hangzhou Normal University
  • Zhaoyu Zhu
  • Yixuan Lin

Abstract

This review explores the integration of artificial intelligence (AI) with condensed matter physics, specifically focusing on the prediction of magnetic higher-order topological corner states. We examine the theoretical foundations of higher-order topological insulators (HOTIs), the unique challenges posed by magnetic systems, and the application of equivariant graph neural networks in high-throughput screening.  The article discusses active learning strategies for navigating vast chemical configuration spaces and addresses current limitations regarding data scarcity and strong electronic correlations.

References

Su, Z., Kang, Y., Zhang, B., Zhang, Z., & Jiang, H. (2019). Disorder induced phase transition in magnetic higher-order topological insulator: A machine learning study. Chinese Physics B, 28(11), 117301.

Araki, H., Mizoguchi, T., & Hatsugai, Y. (2019). Phase diagram of a disordered higher-order topological insulator: A machine learning study. Physical review B, 99(8), 085406.

Figueroa, A. I., Hesjedal, T., & Steinke, N. J. (2020). Magnetic order in 3D topological insulators—Wishful thinking or gateway to emergent quantum effects?. Applied Physics Letters, 117(15).

Verma, A., Jami, J., & Bhattacharya, A. (2025). Advancing Magnetic Materials Discovery--A structure-based machine learning approach for magnetic ordering and magnetic moment prediction. arXiv preprint arXiv:2507.01913.

Ono, S., Yanase, Y., & Watanabe, H. (2019). Symmetry indicators for topological superconductors. Physical Review Research, 1(1), 013012.

Merker, H. A., Heiberger, H., Nguyen, L., Liu, T., Chen, Z., Andrejevic, N., ... & Li, M. (2022). Machine learning magnetism classifiers from atomic coordinates. Iscience, 25(10).

Kaplan, D., Tyner, A. C., Andrei, E. Y., & Pixley, J. H. (2025). Machine learning assisted high throughput prediction of moir'e materials. arXiv preprint arXiv:2512.16892.

Li, J., Knijff, L., Zhang, Z. Y., Andersson, L., & Zhang, C. (2025). PiNN: Equivariant Neural Network Suite for Modeling Electrochemical Systems. Journal of Chemical Theory and Computation, 21(3), 1382-1395.

Lóio, H. R. (2023). Effects of Disorder in Higher-Order Topological Insulators.

Shang, C., Liu, S., Jiang, C., Shao, R., Zang, X., Lee, C. H., ... & Schwingenschlögl, U. (2024). Observation of a Higher‐Order End Topological Insulator in a Real Projective Lattice. Advanced Science, 11(11), 2303222.

Lin, J. Y., Cao, Z., Chen, Z. J., He, W., Zeng, J., Yang, X. B., ... & Zhao, Y. J. (2024). Topological Crystalline Insulator Phases in Magnetic van der Waals Crystal MnBi4Te7 and Mn2Bi2Te5 Families. The Journal of Physical Chemistry C, 128(47), 20451-20458.

Bai, J., Yang, T., Guo, Z., Liu, Y., Jiao, Y., Meng, W., & Cheng, Z. (2025). Controllable topological phase transition via ferroelectric–paraelectric switching in a ferromagnetic single-layer MIM II Ge 2 X 6 family. Materials Horizons, 12(7), 2248-2254.

Tang, F., Po, H. C., Vishwanath, A., & Wan, X. (2019). Efficient topological materials discovery using symmetry indicators. Nature Physics, 15(5), 470-476.

Claussen, N., Bernevig, B. A., & Regnault, N. (2020). Detection of topological materials with machine learning. Physical Review B, 101(24), 245117.

Huo, J., & Dong, H. (2025). δ-egnn method accelerates the construction of machine learning potential. The Journal of Physical Chemistry Letters, 16(8), 2080-2088.

Xu, Y., Elcoro, L., Song, Z. D., Wieder, B. J., Vergniory, M. G., Regnault, N., ... & Bernevig, B. A. (2020). High-throughput calculations of magnetic topological materials. Nature, 586(7831), 702-707.

Jin, L., Du, Z., Shu, L., Cen, Y., Xu, Y., Mei, Y., & Zhang, H. (2025). Transformer-generated atomic embeddings to enhance prediction accuracy of crystal properties with machine learning. Nature Communications, 16(1), 1210.

Cao, Z., Lu, S., Yuan, S., Ma, L., Zhou, Q., & Wang, J. (2025). Active learning for accelerated discovery of two-dimensional magnetic topological materials. Chemistry of Materials, 37(16), 6227-6236.

Xu, W., Sanspeur, R. Y., Kolluru, A., Deng, B., Harrington, P., Farrell, S., ... & Kitchin, J. R. (2025). Spin-informed universal graph neural networks for simulating magnetic ordering. Proceedings of the National Academy of Sciences, 122(27), e2422973122.

Kim, P. (2017). Matlab deep learning. With machine learning, neural networks and artificial intelligence, 130(21), 151.

Cao, Z., Lu, S., Yuan, S., Ma, L., Zhou, Q., & Wang, J. (2025). Active learning for accelerated discovery of two-dimensional magnetic topological materials. Chemistry of Materials, 37(16), 6227-6236.

Tyner, A. C. (2025). Fine tuning generative adversarial networks with universal force fields: application to two-dimensional topological insulators. arXiv preprint arXiv:2504.04940.

Downloads

Published

2026-02-24

How to Cite

Liang, C., Zhu, Z., & Lin, Y. (2026). Artificial Intelligence-Driven Discovery of Magnetic Higher-Order Topological Corner States: A Review From Theoretical Framework to Large-Scale Screening. International Journal of Advanced AI Applications, 2(3), 34–43. Retrieved from http://www.dawnclarity.press/index.php/ijaaa/article/view/129