Chern-Simons theory of multicomponent quantum Hall systems

Journal Article · Sat May 15 04:00:00 EDT 2010 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.81.195303· OSTI ID:21366825

Beugeling, W; Morais Smith, C ^[1]; Goerbig, M O ^[2]

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1. Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, 3584 CE Utrecht (Netherlands)
2. Laboratoire de Physique des Solides, CNRS UMR 8502, Universite Paris Sud, F-91405 Orsay Cedex (France)

The Chern-Simons approach has been widely used to explain fractional quantum Hall states in the framework of trial wave functions. In the present paper, we generalize the concept of Chern-Simons transformations to systems with any number of components (spin or pseudospin degrees of freedom), extending earlier results for systems with one or two components. We treat the density fluctuations by adding auxiliary gauge fields and appropriate constraints. The Hamiltonian is quadratic in these fields and hence can be treated as a harmonic oscillator Hamiltonian with a ground state that is connected to the Halperin wave functions through the plasma analogy. We investigate conditions on the coefficients of the Chern-Simons transformation and on the filling factors under which our model is valid. Furthermore, we discuss several singular cases, associated with states with ferromagnetic properties.

• OSTI ID: 21366825
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 19 Vol. 81; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
DEGREES OF FREEDOM
DENSITY
ENERGY LEVELS
FIELD THEORIES
FLUCTUATIONS
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HAMILTONIANS
HARMONIC OSCILLATORS
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PARTICLE PROPERTIES
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QUANTUM OPERATORS
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