Colloidal quantum dots offer broad tuning of semiconductor bandstructure via the quantum size effect. Devices involving a sequence of layers comprised of quantum dots selected to have different diameters, and therefore bandgaps, offer the possibility of funneling energy toward an acceptor. Here we report a quantum funnel that efficiently conveys photoelectrons from their point of generation tow...

I elaborate on the earlier suggestion that the model describing the plateaux transition in Integer Quantum Hall effect scales to a particular point on the line of critical points of a theory with a higher symmetry.

Using first-principles calculations, we show manifestations of the quantum size effect in the dielectric function ε(2) of free-standing Al(1 1 1) ultrathin films of 1 monolayer to 20 monolayers, taking into account size dependent contributions from both interband and intraband electronic transitions. Overall the in-plane components (interband transition) of ε(2) increase with film thickness at ...

The effect of Be concentration on the formation of CdSe self-assembled quantum dots grown on Zn1−xBexSe by molecular-beam epitaxy has been investigated using photoluminescence, atomic force microscopy, contactless electroreflectance, and surface photovoltage spectroscopy. Systematic decrease of the quantum dot sQDd size by increasing the Be concentration sxd in the Zn1−xBexSe barrier layer has ...

A recently developed model of interacting composite fermions, is used to investigate different composite-fermion phases. Their interaction potential allows for the formation of both solid and new quantum-liquid phases, which are interpreted in terms of second-generation composite fermions and which may be responsible for the fractional quantum Hall states observed at unusual filling factors, su...

We present a Chern-Simons theory of the fractional quantum Hall effect in which flux attachment is followed by a transformation that effectively attaches the correlation holes. We extract the correlated wave functions, compute the drift and cyclotron currents (due to inhomogeneous density), exhibit the Read operator and operators that create quasiparticles and quasiholes. We show how the bare k...

We discuss a procedure to construct multi-resolution analyses (MRA) of L2(R) starting from a given seed function h(s) which should satisfy some conditions. Our method, originally related to the quantum mechanical hamiltonian of the fractional quantum Hall effect (FQHE), is shown to be model independent. The role of a canonical map between certain canonically conjugate operators is discussed. Th...