Density functional theory and the Chern-Simons field approach to the fractional quantum Hall effect

Journal Article · Mon Aug 10 04:00:00 EDT 1992 · Modern Physics Letters B; (Singapore)

DOI:https://doi.org/10.1142/S0217984992001964· OSTI ID:7174109

Dharma-Wardana, M W.C. ^[1]

---

1. Inst. for Microstructural Sciences, National Research Council of Canada, Ottawa K1A 0R6 (Canada)

In the effective field-theory of the fractional quantum Hall effect (FQHE), a purely formal Chern-Simons (CS) statistical gauge field is usually introduced and justified via the equivalence of the effective Lagrangian for the electromagnetic field. In this paper, the authors identify this CS-field with a physical field arising from the exchange-correlation vector potential of current-density functional theory. The resulting Kohn-Sham picture of FQHE is compared with Laughlin's and Jain's theories.

• OSTI ID: 7174109
• Journal Information: Modern Physics Letters B; (Singapore), Journal Name: Modern Physics Letters B; (Singapore) Vol. 6:18; ISSN 0217-9849; ISSN MPLBET
• Country of Publication: United States
• Language: English

Related Subjects

662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
665400* -- Quantum Physics Aspects of Condensed Matter-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELECTROMAGNETIC FIELDS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HALL EFFECT
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MECHANICS
NONLINEAR PROBLEMS
PERTURBATION THEORY
QUANTUM MECHANICS
STATISTICAL MECHANICS