Ensemble Density Functional Theory of the Fractional Quantum Hall Effect

Ensemble Density Functional Theory for Inhomogeneous Fractional Quantum Hall Systems

The fractional quantum Hall effect.

Recent research has uncovered a fascinating quantum liquid made up solely of electrons confined to a plane surface. Found only at temperatures near absolute zero and in extremely strong magnetic fields, this liquid can flow without friction. The excited states of this liquid consist of peculiar particle-like objects that carry an exact fraction of an electron charge. Called quasiparticles, thes...

The Fractional Quantum Hall Effect

Their citation reads “ for their discovery of a new form of quantum fluid with fractionally charged excitations”. In this talk, I will try to describe this new form of quantum fluid and its fractionally charged excitations. However, since I am speaking to a general audience and the phenomenon of the fractional quantum Hall effect may not be familiar to all, I will start my talk with a brief int...

Field Theory of the Fractional Quantum Hall Effect - I

We present a Chern-Simons (CS) theory for fractional quantum Hall states, in which flux attachment is followed by an enlargement of Hilbert space to include n magneto-plasmon oscillators and n constraints, n being the number of electrons. The simplest approximation yields correlated wavefunctions for fractions ν = p/(2ps + 1). For ν = 1/(2s + 1) we obtain multi-quasihole wavefunctions with corr...

Conformal Field Theory and the Fractional Quantum Hall Effect

We examine the application of c = 1 conformal field theory to the description of the fractional quantum Hall effect (FQHE). It is found that the Gaussian model together with an appropriate boundary condition for the order parameter furnishes an effective theory for the Laughlin type FQHE. The plateau formation condition corresponds to taking the chiral portion of the theory. e-mail: scip1005@nu...