It is well known that electrically neutral excitons can still be affected by crossed electric and magnetic fields make them move in a direction perpendicular to both fields. We show similar effect appears the absence of external fields, case scattering an exciton flow charged impurities presence field. As result, changes its propagation may described terms Hall conductivity for excitons. develo...

The combinatorial tool of generating functions for restricted partitions is used to generalize a quantum physics theorem relating distinct multiplets of different angular momenta in the composite Fermion model of the fractional quantum Hall effect. Specifically, if g (N,M) denotes the number of distinct multiplets of angular momentum and total angular momentum M, we prove that g (N,M) ∑ k|N gL(...

The soliton structure of a gauge theory proposed to describe chiral excitations in the multi-Layer Fractional Quantum Hall Effect is investigated. A new type of derivative multi-component nonlinear Schrödinger equation emerges as effective description of the system that supports novel chiral solitons. We discuss the classical properties of the solutions and study relations to integrable systems.

Owing to the two-parameter central extension of the planar Galilei group, a non relativistic particle in the plane admits an extra structure, which yields noncom-muting coordinates. For a particle moving in a magnetic field perpendicular to the plane, the two parameters combine with the magnetic field to provide an effective mass. For vanishing effective mass the phase space admits a two-dimens...

We propose an effective Lagrangian for the low energy bulk theory of the Pfaffian states of the fractional quantum Hall effect in terms of non-Abelian Chern-Simons (CS) actions. Our approach exploits the connection between topological CS and chiral conformal field theories and can be applied to large class of non-Abelian FQH states. CONICET, Argentina CICPBA, Argentina

The braid group dynamics captures the fractional quantum Hall effect (FQHE) as a manifestation of puncture phase. When the dynamics is generalized for particles on a multi-sheeted surface, we obtain new tools which determine the fractional charges, the quantum statistics, and the filling factors of the multi-layered FQHE. A many-quasihole wavefunction is proposed for the bilayered samples. We a...

We obtain the distribution functions for anyonic excitations classified into equivalence classes labeled by Hausdorff dimension h and as an example of such anyonic systems, we consider the collective excitations of the Fractional Quantum Hall Effect ( FQHE ). We also introduce the concept of duality between such classes, defined by h̃ = 3 − h. In this way, we confirm that the filling factors for...