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PreprintCC BY 4.0arXiv

Quantum transmission in 1D disordered stealthy hyperuniform Kronig--Penney-like models

  • Shaobing Yuan
  • Carlo Vanoni
  • Salvatore Torquato
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Abstract

Disordered stealthy hyperuniform (SHU) systems are emerging as platforms for controlling classical and quantum transport due to vanishing single-scattering contributions in the stealthy regime. Here, to our knowledge, we present the first perturbation theory of one-dimensional quantum transport through a continuum of identical point scatterers with SHU positional disorder. Our perturbation theory indicates the exact cancellation of all the lower-order terms due to the Fourier-space stealthy condition S(q)=0, and the further suppression of the lowest non-vanishing fourth order in the Lyapunov exponent λ(k) due to the real-space hyperuniform constraint limD→∞σD2=c<∞. Our findings presents universal implications of the general wave-propagation phenomena in disordered SHU systems.

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Cite

BibTeXRIS
BibTeX
@misc{yuan2026quantum,
  title = {{Quantum transmission in 1D disordered stealthy hyperuniform Kronig--Penney-like models}},
  author = {Shaobing Yuan and Carlo Vanoni and Salvatore Torquato},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.02501},
  eprint = {2610.02501},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.02501},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantum transmission in 1D disordered stealthy hyperuniform Kronig--Penney-like models
AU  - Shaobing Yuan
AU  - Carlo Vanoni
AU  - Salvatore Torquato
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.02501
UR  - https://arxiv.org/abs/2610.02501
AB  - Disordered stealthy hyperuniform (SHU) systems are emerging as platforms for controlling classical and quantum transport due to vanishing single-scattering contributions in the stealthy regime. Here, to our knowledge, we present the first perturbation theory of one-dimensional quantum transport through a continuum of identical point scatterers with SHU positional disorder. Our perturbation theory indicates the exact cancellation of all the lower-order terms due to the Fourier-space stealthy condition S(q)=0, and the further suppression of the lowest non-vanishing fourth order in the Lyapunov exponent λ(k) due to the real-space hyperuniform constraint lim_D→∞σ_D^2=c<∞. Our findings presents universal implications of the general wave-propagation phenomena in disordered SHU systems.
ER  -