On the constraint equation for the lowest Landau level in fractional quantum Hall system

Journal Article · Sat Jun 01 04:00:00 EDT 1991 · International Journal of Modern Physics B; (United States)

DOI:https://doi.org/10.1142/S0217979291001619· OSTI ID:5295260

Sheng, D N; Su, Z B ^[1]; Sakita, B ^[2]

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1. Texas Center for Superconductivity, Univ. of Houston, Houston, TX (US)
2. City Coll., New York, NY (United States). Dept. of Physics

This paper reports that in the framework of collective field theory, the authors apply the Chern-Simons field theory treatment to the constraint equation for the lowest Landau level to investigate the generic properties for the quasi-particles of the FQH system. It shows a transparent connection to the Laughlin's wave functions. If we take an average over the wave functional for the constraint equation, the resulted equation can be interpreted as the vortex equation for the fractionally charged quasi-particles. Introducing a generalized {rho} density-{nu} (phase) transformation, not only the fractional statistics and the hierarchy scheme can be drawn from the constraint equation, it also gives rise an interesting picture that vortices condense as a Halperin like wave function on a Laughlin like background condensate of {nu} =1/m.

• OSTI ID: 5295260
• Journal Information: International Journal of Modern Physics B; (United States), Journal Name: International Journal of Modern Physics B; (United States) Vol. 5:10; ISSN 0217-9792; ISSN IJPBE
• Country of Publication: United States
• Language: English

Related Subjects

662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
665411* -- Basic Superconductivity Studies-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COLLECTIVE MODEL
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
FIELD THEORIES
FUNCTIONS
HALL EFFECT
MAGNETIC FLUX
MATHEMATICAL MODELS
MATHEMATICS
MECHANICS
NONLINEAR PROBLEMS
NUCLEAR MODELS
PHYSICAL PROPERTIES
QUANTUM MECHANICS
QUASI PARTICLES
STATISTICS
SUPERCONDUCTIVITY
TRANSFORMATIONS
WAVE FUNCTIONS