Fingering of Electron Droplets in Nonuniform Magnetic Fields
arXiv:cond-mat/0209018 · doi:10.1103/PhysRevLett.90.196802
Abstract
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 wavefunction, 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.
4 pages, 4 figures; various referee suggested modifications, scheduled to appear in PRL
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