The Chern-Simons-Landau-Ginzburg theory of the fractional quantum Hall effect

Journal Article · Sun Mar 01 04:00:00 EST 1992 · International Journal of Modern Physics B; (United States)

DOI:https://doi.org/10.1142/S0217979292000499· OSTI ID:5223253

Zhang, S C ^[1]

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1. IBM Research Div., Almaden Research Center, San Jose, CA (US)

This paper gives a systematic review of a field theoretical approach to the fractional quantum Hall effect (FQHE) that has been developed in the past few years. The authors first illustrate some simple physical ideas to motivate such an approach and then present a systematic derivation of the Chern-Simons-Landau-Ginzburg (CSLG) action for the FQHE, starting from the microscopic Hamiltonian. It is demonstrated that all the phenomenological aspects of the FQHE can be derived from the mean field solution and the small fluctuations of the CSLG action. Although this formalism is logically independent of Laughlin's wave function approach, their physical consequences are equivalent. In particular, it is shown that the Laughlin's wave function can be derived from the CSLG theory under reasonable approximations. The CSLG theory demonstrates a deep connection between the phenomena of superfluidity and the FQHE, and can provide a simple and direct formalism to address many new macroscopic phenomena of the FQHE.

• OSTI ID: 5223253
• Journal Information: International Journal of Modern Physics B; (United States), Journal Name: International Journal of Modern Physics B; (United States) Vol. 6:5; 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
DOCUMENT TYPES
FIELD THEORIES
GINZBURG-LANDAU THEORY
HALL EFFECT
HAMILTONIANS
MATHEMATICAL OPERATORS
NONLINEAR PROBLEMS
QUANTIZATION
QUANTUM OPERATORS
REVIEWS