Viscous fingering and a shape of an electronic droplet in the Quantum Hall regime

Details Viscous fingering and a shape of an electronic droplet in the Quantum Hall regime Viscous fingering and a shape of an electronic droplet in the Quantum Hall regime

2001-11-19

arxiv.org/abs/cond-mat/0111333v3

Phys.Rev.Lett. 88 (2002) 236801

Physics

Condensed Matter

4 pages, 1 eps figure included

Scientific paper

10.1103/PhysRevLett.88.236801

We show that the semiclassical dynamics of an electronic droplet confined in the plane in a quantizing inhomogeneous magnetic field in the regime when 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.

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