Quantum nanojet structures: Quantum branching and clustering in two-slit electron jets

H. H. Chiu, C. T. Lin, S. Y. Lin, F. L. Madarasz

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


A theory of dual electron beam nanojets is developed from the perspective of quantum fluid dynamics. The structural and dynamic behavior of the dual beams are investigated over a large range of quantum Reynolds numbers, N. For low to intermediate N < 100, the dual beams exhibit a strong wave-like character. This wave-like character manifests itself as a merging of the two separate jet streams into a multiple branched beam with each branch fanning out at different angular displacements relative to the jet axis, overlapping a creating and interference pattern. As N increases the merging and branching occur further away from the jet nozzles. At higher N ≥ 400, branching occurs at a considerable distance from the jet nozzles; the fanning collapses into a forward propagating beam with little angular spread. Eventually, at very high N ≥ 800 the beam splits into two distinct forward propagating beams very much like that produced by classical jets. Quantum clustering is another feature that arises when N ≥ 20. This is the formation of regions in the jet with abnormally high probability density and is the combined result of self-interference and tunneling within each branch. The clusters shift down stream with higher N. The size and density of the cluster also increases with an increase in N. The complexities of these properties are studied in detail. The unique properties of a dual beam quantum nanojet are applicable to a variety of nano-scale applications, including: mass spectroscopy, imaging, sensors, and lithography.

Original languageEnglish
Pages (from-to)88-100
Number of pages13
JournalJournal of Computational and Theoretical Nanoscience
Issue number1
Publication statusPublished - 2006 Feb

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Computational Mathematics
  • Electrical and Electronic Engineering


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