I show that the bosonized form of the low energy edge excitations at the surface of a droplet of two-dimensional quantum Hall liquid can be understood in terms of coherent "ripplon" deformations in the shape of the droplet. When interacting with an electromagnetic field the resulting chiral boson th
The quantum Hall effect in finite structures
β Scribed by F. Gagel; M. Schreiber; K. Maschke
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 257 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0749-6036
No coin nor oath required. For personal study only.
β¦ Synopsis
Using the Landauer approach to electronic transport, we investigate numerically conductance and Hall conductance of a disordered and dissipative finite quantum wire. Ohmic voltage and current contacts are implemented by regions with gradually increasing dephasing rates. In this way, a self-stabilizing current distribution and well-defined Hall conductance plateaus are obtained, the accuracy of the latter depending on the spatial extension of the dephasing contact regions. We obtain the surprising result, that dephasing may improve conductance quantization by suppressing interference effects.
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