Viscous fingering and a shape of an electronic droplet in the Quantum Hall regime
| dc.creator | Agam, Oded | |
| dc.creator | Bettelheim, Eldad | |
| dc.creator | Wiegmann, P. | |
| dc.creator | Zabrodin, A. | |
| dc.date | 2001-11-19 | |
| dc.date | 2002-02-14 | |
| dc.date.accessioned | 2026-07-07T06:27:22Z | |
| dc.date.available | 2026-07-07T06:27:22Z | |
| dc.description | 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. | |
| dc.description | 4 pages, 1 eps figure included | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0111333 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0111333 | |
| dc.identifier | Phys.Rev.Lett. 88 (2002) 236801 | |
| dc.identifier | doi:10.1103/PhysRevLett.88.236801 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97399 | |
| dc.subject | Condensed Matter | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Viscous fingering and a shape of an electronic droplet in the Quantum Hall regime | |
| dc.type | text |