title: Viscous fingering and the shape of an electronic droplet in the quantum Hall regime.
abstract: We show that the semiclassical dynamics of an electronic droplet, confined in a plane in a quantizing inhomogeneous magnetic field in the regime where the electrostatic interaction is negligible, is similar to viscous (Saffman-Taylor) fingering on the interface between two fluids with different viscosities confined in a Hele-Shaw cell. Both phenomena are described by the same equations with scales differing by a factor of up to 10(-9). We also report the quasiclassical wave function of the droplet in an inhomogeneous magnetic field.
authors.affiliation: Racah Institute of Physics, Hebrew University, Givat Ram, Jerusalem, Israel 91904.
authors.forename: Oded
authors.initials: O
authors.lastname: Agam
authors.forename: Eldad
authors.initials: E
authors.lastname: Bettelheim
authors.forename: P
authors.initials: P
authors.lastname: Wiegmann
authors.forename: A
authors.initials: A
authors.lastname: Zabrodin