Fractional quantum Hall effect and (2+1) - Dimensional quantum electrodynamics

Authors
Jellal, A
Citation
A. Jellal, Fractional quantum Hall effect and (2+1) - Dimensional quantum electrodynamics, INT J THEOR, 37(11), 1998, pp. 2751-2755
Citations number
23
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN journal
00207748 → ACNP
Volume
37
Issue
11
Year of publication
1998
Pages
2751 - 2755
Database
ISI
SICI code
0020-7748(199811)37:11<2751:FQHEA(>2.0.ZU;2-#
Abstract
By investigating the gap equation defining the full electron propagator in the framework of (2 + 1)-dimensional quantum electrodynamics, we derive the fractional quantum Hall effect at the filling factors v = 1/2, 1/3, 2/5, 1 /9. In particular, the value v = 1/2 emerges as the lowest order of the dev elopment of this gap equation.