Viscous fingering and the shape of an electronic droplet in the quantum Hall regime.
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.
Agam
Oded
O
Racah Institute of Physics, Hebrew University, Givat Ram, Jerusalem, Israel 91904.
Bettelheim
Eldad
E
Wiegmann
P
P
Zabrodin
A
A