Machine learning Majorana topology using unsupervised and supervised learning

Abstract:In unsupervised learning, the training data for deep learning does not come with any labels, thus forcing the algorithm to discover hidden patterns in the data for discerning useful information. This, in principle, could be a powerful tool in identifying topological order since topology does not always manifest in obvious physical ways (e.g., topological superconductivity) for its decisive confirmation. The problem, however, is that unsupervised learning is a difficult challenge, necessitating huge computing resources, which may not always work. In the current work, we combine unsupervised and supervised learning to establish that unlabeled (simulated) data in the Majorana splitting in realistic short disordered nanowires may enable not only a distinction between `topological' and `trivial', but also where their crossover happens in the relevant parameter space. This may be a useful tool in identifying topology in experimental Majorana nanowires.

Disordered Systems and Neural Networks (cond-mat.dis-nn); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Machine Learning (cs.LG)

arXiv:2512.13825 [cond-mat.dis-nn]

(or arXiv:2512.13825v2 [cond-mat.dis-nn] for this version)

https://doi.org/10.48550/arXiv.2512.13825 Focus to learn more arXiv-issued DOI via DataCite

Phys. Rev. B 114, 165418 (2026)

https://doi.org/10.1103/ywsw-29xc Focus to learn more DOI(s) linking to related resources

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