The Chern-Simons-Landau-Ginzburg theory of the fractional quantum Hall effect
- IBM Research Div., San Jose, CA (United States)
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. We 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. 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:
- 5295926
- Journal Information:
- International Journal of Modern Physics B; (United States), Vol. 6:1; ISSN 0217-9792
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
HALL EFFECT
FIELD THEORIES
GINZBURG-LANDAU THEORY
NONLINEAR PROBLEMS
QUANTIZATION
SUPERFLUIDITY
WAVE FUNCTIONS
FUNCTIONS
665000* - Physics of Condensed Matter- (1992-)
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)