Electronic crystals and quasicrystals in semiconductor quantum wells: an AI-powered discovery
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908705928249344 |
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| author | Gaggioli, Filippo Graham, Pierre-Antoine Fu, Liang |
| author_facet | Gaggioli, Filippo Graham, Pierre-Antoine Fu, Liang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_10909 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Electronic crystals and quasicrystals in semiconductor quantum wells: an AI-powered discovery Gaggioli, Filippo Graham, Pierre-Antoine Fu, Liang Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Physics 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. |
| title | Electronic crystals and quasicrystals in semiconductor quantum wells: an AI-powered discovery |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2512.10909 |