TOWARDS A FIELD-THEORY OF FRACTIONAL QUANTUM HALL STATES

Citation
R. Shankar et G. Murthy, TOWARDS A FIELD-THEORY OF FRACTIONAL QUANTUM HALL STATES, Physical review letters, 79(22), 1997, pp. 4437-4440
Citations number
32
Journal title
ISSN journal
00319007
Volume
79
Issue
22
Year of publication
1997
Pages
4437 - 4440
Database
ISI
SICI code
0031-9007(1997)79:22<4437:TAFOFQ>2.0.ZU;2-Q
Abstract
We present a Chern-Simons theory of the fractional quantum Hall effect in which flux attachment is followed by a transformation that effecti vely attaches the correlation holes. We extract the correlated wave fu nctions, compute the drift and cyclotron currents (due to inhomogeneou s density), exhibit the Read operator and operators that create quasip articles and quasiholes. We show how the bare kinetic energy can get q uenched and replaced by one due to interactions. We find that for nu = 1/2 the low energy theory has neutral quasiparticles and give the eff ective Hamiltonian and constraints.