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

Abstract

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.

Authors:
 [1]
  1. (IBM Research Div., San Jose, CA (United States))
Publication Date:
OSTI Identifier:
5295926
Alternate Identifier(s):
OSTI ID: 5295926
Resource Type:
Journal Article
Journal Name:
International Journal of Modern Physics B; (United States)
Additional Journal Information:
Journal Volume: 6:1; Journal ID: ISSN 0217-9792
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, 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-)

Citation Formats

Zhang, S.C. The Chern-Simons-Landau-Ginzburg theory of the fractional quantum Hall effect. United States: N. p., 1992. Web. doi:10.1142/S0217979292000037.
Zhang, S.C. The Chern-Simons-Landau-Ginzburg theory of the fractional quantum Hall effect. United States. doi:10.1142/S0217979292000037.
Zhang, S.C. Fri . "The Chern-Simons-Landau-Ginzburg theory of the fractional quantum Hall effect". United States. doi:10.1142/S0217979292000037.
@article{osti_5295926,
title = {The Chern-Simons-Landau-Ginzburg theory of the fractional quantum Hall effect},
author = {Zhang, S.C.},
abstractNote = {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.},
doi = {10.1142/S0217979292000037},
journal = {International Journal of Modern Physics B; (United States)},
issn = {0217-9792},
number = ,
volume = 6:1,
place = {United States},
year = {1992},
month = {1}
}