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

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

Oded Agam
(
- Hebrew U.
)
,
Eldad Bettelheim
(
- Hebrew U.
)
,
P. Wiegmann
(
- Chicago U. and
- Chicago U., EFI and
- Landau Inst.
)
,
A. Zabrodin
(
- RAS, Inst. Biochem. Phys. and
- Moscow, ITEP
)

Nov, 2001

4 pages

Published in:

Phys.Rev.Lett. 88 (2002) 236801

e-Print:

cond-mat/0111333 [cond-mat]

DOI:

10.1103/PhysRevLett.88.236801

View in:

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Abstract: (arXiv)

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.

References(19)

Figures(0)

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)
,
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(
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