Chern-Simons field theory of two-dimensional electrons in the lowest Landau level

Journal Article · Thu Feb 01 04:00:00 EST 1996 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.53.3937· OSTI ID:278764

Zhang, L ^[1]

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1. Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996 (United States)

We propose a fermion Chern-Simons field theory describing two-dimensional electrons in the lowest Landau level. This theory is constructed with a complete set of states, and the lowest-Landau-level constraint is enforced through a {delta} functional described by an auxiliary field {lambda}. Unlike the field theory constructed directly with the states in the lowest Landau level, this theory allows one, utilizing the physical picture of {open_quote}{open_quote}composite fermion,{close_quote}{close_quote} to study the fractional quantum Hall states by mapping them onto certain integer quantum Hall states; but, unlike its application in the unconstrained theory, such a mapping is sensible only when interactions between electrons are present. An {open_quote}{open_quote}effective mass,{close_quote}{close_quote} which characterizes the scale of low energy excitations in the fractional quantum Hall systems, emerges naturally from our theory. We study a Gaussian effective theory and interpret physically the dressed stationary point equation for {lambda} as an equation for the {open_quote}{open_quote}mass renormalization{close_quote}{close_quote} of composite fermions. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: Oak Ridge National Laboratory
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 278764
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 7 Vol. 53; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
66 PHYSICS
EFFECTIVE MASS
FERMIONS
FIELD THEORIES
HALL EFFECT
QUANTIZATION
QUANTUM HALL EFFECT
QUANTUM WELLS
RENORMALIZATION
TWO-DIMENSIONAL CALCULATIONS