Constraint for the lowest Landau level and the Chern-Simons field-theory approach for the fractional quantum Hall effect: Infinite and finite systems
- Institute of Theoretical Physics, Academia Sinica, Beijing 100080 (China) Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027 (China)
- Institute of Theoretical Physics, Academia Sinica, Beijing 100080 (China)
We build the constraint that all electrons are in the lowest Landau level into the Chern-Simons field-theory approach for the fractional quantum Hall system. We show that the constraint can be transmitted from one hierarchical state to the next. As a result, we derive in general the equations of the fractionally charged vortices (quasiparticles) for arbitrary hierarchy filling. For a finite system, we show that the action for each hierarchical state can be divided into two parts: the surface part provides the action for the edge excitations while the remaining bulk part is exactly the action for the next hierarchical states. In particular, we not only show that the surface action for the edge excitations would be decoupled from the bulk action at each hierarchy filling, but also derive the explicit expressions analytically for the drift velocities of the hierarchical edge excitations.
- OSTI ID:
- 6184577
- Journal Information:
- Physical Review, B: Condensed Matter; (United States), Vol. 48:4; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
Similar Records
Chern-Simons field theory of two-dimensional electrons in the lowest Landau level
On the constraint equation for the lowest Landau level in fractional quantum Hall system