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 255
Edge waves in the quantum Hall effect
β Scribed by Michael Stone
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 843 KB
- Volume
- 207
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
β¦ Synopsis
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 theory has anomalies that are cancelled, via the Callan-Harvey mechanism, by contributions from the bulk. I also consider non-Abelian generalization of the bosonization that may be useful for chiral spin states.
π SIMILAR VOLUMES
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-stabilizi
Applying orthogonal in-plane electric and magnetic fields in a 2D system leads to the development of a Hall voltage across the width of the quantum well when the cyclotron orbit is greater than the well width. Tang and Butcher [1] have calculated the developed Hall voltage for a parabolic quantum we