The Chern-Simons-Landau-Ginzburg theory of the fractional quantum Hall effect
- 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), Vol. 6:5; ISSN 0217-9792
- Country of Publication:
- United States
- Language:
- English
Similar Records
Chern-Simons gauge theories for the fractional-quantum-Hall-effect hierarchy and anyon superconductivity
Density functional theory and the Chern-Simons field approach to the fractional quantum Hall effect
Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
HALL EFFECT
QUANTIZATION
FIELD THEORIES
GINZBURG-LANDAU THEORY
HAMILTONIANS
NONLINEAR PROBLEMS
REVIEWS
DOCUMENT TYPES
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
665411* - Basic Superconductivity Studies- (1992-)
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)