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Trapped Ion Quantum Computing Quantum Foundations

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

arXiv
Authors: Filippo Gaggioli, Pierre-Antoine Graham, Liang Fu

Year

2025

Paper ID

36681

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • The homogeneous electron gas is a cornerstone of quantum condensed matter physics, providing the foundation for developing density functional theory and understanding...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.10909 [2] arXiv https://arxiv.org/abs/2512.10909 [3] Publisher https://arxiv.org/abs/2512.10909

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