Constraint for the lowest Landau level and the Chern-Simons field-theory approach for the fractional quantum Hall effect: Infinite and finite systems

Journal Article · Thu Jul 15 04:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.48.2347· OSTI ID:6184577

Ma, Z ^[1]; Su, Z ^[2]

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1. Institute of Theoretical Physics, Academia Sinica, Beijing 100080 (China) Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027 (China)
2. 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), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 48:4; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

665400* -- Quantum Physics Aspects of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
ELECTRON GAS
FIELD THEORIES
FLUIDS
GASES
HALL EFFECT
QUANTUM FIELD THEORY
QUASI PARTICLES
SURFACES
VORTICES