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arXiv · 2512.10909

Electronic crystals and quasicrystals in semiconductor quantum wells: an AI-powered discovery

Filippo Gaggioli·Pierre-Antoine Graham·Liang Fu
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Abstract

The homogeneous electron gas is a cornerstone of quantum condensed matter physics, providing the foundation for developing density functional theory and understanding electronic phases in semiconductors. However, theoretical understanding of strongly-correlated electrons in realistic semiconductor systems remains limited. In this work, we develop a neural network based variational approach to study quantum wells in three dimensional geometry for a variety of electron densities and well thicknesses. Starting from first principles, our unbiased AI-powered method reveals metallic and crystalline phases with both monolayer and bilayer charge distributions. In the emergent bilayer, we discover a new quantum phase of matter: the electronic quasicrystal.

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Filippo Gaggioli, Pierre-Antoine Graham, Liang Fu. 2025-12-11. Electronic crystals and quasicrystals in semiconductor quantum wells: an AI-powered discovery. https://arxiv.org/abs/2512.10909

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