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Fractal Confinement and Magnetic Self-sabotage of Current Flow: Electrons Near the Metal-insulator Crossover in a 2D δ-layer

Abstract

We study low-T transport and itinerant magnetism in 2D δ-doped semiconductors. Large-scale Hartree-Fock calculations with random hoppings and repulsion U0 reveal two transport regimes near a critical density. The conductivity σ(T) initially increases as T drops below U0 / 10. However, at T ∼ U0/100, a tiny density of magnetic moments forms, driving an insulating downturn. Fractal wavefunctions locally amplify magnetic interactions, initially concentrating currents into branched filaments, but ultimately choking them off via dynamic SU(2) symmetry breaking.

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BibTeX
@misc{zhang2026fractal,
  title = {{Fractal Confinement and Magnetic Self-sabotage of Current Flow: Electrons Near the Metal-insulator Crossover in a 2D $δ$-layer}},
  author = {Xinghai Zhang and Matthew S. Foster and Markus Mueller},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.28739},
  eprint = {2608.28739},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.28739},
}
RIS
TY  - UNPB
TI  - Fractal Confinement and Magnetic Self-sabotage of Current Flow: Electrons Near the Metal-insulator Crossover in a 2D δ-layer
AU  - Xinghai Zhang
AU  - Matthew S. Foster
AU  - Markus Mueller
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.28739
UR  - https://arxiv.org/abs/2608.28739
AB  - We study low-T transport and itinerant magnetism in 2D δ-doped semiconductors. Large-scale Hartree-Fock calculations with random hoppings and repulsion U_0 reveal two transport regimes near a critical density. The conductivity σ(T) initially increases as T drops below U_0 / 10. However, at T ∼ U_0/100, a tiny density of magnetic moments forms, driving an insulating downturn. Fractal wavefunctions locally amplify magnetic interactions, initially concentrating currents into branched filaments, but ultimately choking them off via dynamic SU(2) symmetry breaking.
ER  -