Fingered” Patterns in Electron Droplets in Nonuniform Magnetic Fields

Taylor L. Hughes, A. D. Klironomos, Alan T. Dorsey

Research output: Contribution to journalArticlepeer-review


A semiclassical analysis of a two-dimensional electron droplet in a high, nonuniform magnetic field predicts that the droplet will form “fingered” patterns upon increasing the number of electrons. We construct explicit examples of these patterns using methods first developed for the flow of two-dimensional viscous fluids. We complement our analytical results with Monte Carlo simulations of the droplet wave function, and find that at the point where the semiclassical analysis predicts a cusp on the interface, the droplet fissions—a type of “quantum breakup” phenomenon.

Original languageEnglish (US)
Pages (from-to)4
Number of pages1
JournalPhysical review letters
Issue number19
StatePublished - 2003
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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