Two-dimensional quantum dots in high magnetic fields: Rotating-electron-molecule versus composite-fermion approach

Abstract

Exact diagonalization results are reported for the lowest rotational band of N = 6 electrons in strong magnetic fields in the range of high angular momenta 70 ≤ L ≤ 140 (covering the corresponding range of fractional filling factors 1/5 ≥ ν ≥ 1/9). A detailed comparison of energetic, spectral, and transport properties (specifically, magic angular momenta, radial electron densities, occupation number distributions, overlaps and total energies, and exponents of current-voltage power law) shows that the recently discovered rotating-electron-molecule wave functions [Phys. Rev. B 66, 115315 (2002)] provide a superior description compared to the composite-fermion/Jastrow-Laughlin ones.

Exact results for finite quantum Hall systems of electrons at filling factor one: Disk geometry

“…7, 8 A strong confinement for systems of Fermi or Bose particles as the one provided by a 2D parabolic potential in man-made devices, i.e., electrons in 2D quantum dots or ultracold atoms in harmonic traps, can localize electrons and form structures with molecular, or crystalline, characteristics. [10][11][12][13][14][15] Such molecular states forming within a single confining potential well constitute new phases of matter and allow for investigations of novel strongly correlated phenomena that otherwise would not arise in a typical quantum Hall scenario as the one considered in this work. Therefore, even though the objective of our study is a specific ν = 1 IQHE state described by a specific model (disk geometry), our results are also related to the more general physics of other strongly correlated 2D condensed-matter systems, such as electrons in quantum dots and repelling bosons in harmonic traps subject to a perpendicular magnetic field.…”

Energy for Two-electron Quantum Dots: The Quantization Rule Approach

“…Since the properties of quantum dots in an external magnetic fields are of much importance, (32)(33)(34) it will be the next task to extend the present result to that case. It is also expected in the further research to study three-electron quantum dots following the idea arisen in this Letter.…”

Angular Dependence of Fluorescence Emission from Quantum Dots inside a Photonic Crystal

“…In our investigations, we used CdSe/ZnS quantum dots due to their photophysical stability and because these quantum dots are a very well-investigated system [9][10][11][12]. Figure 2 clearly shows that we succeeded in engineering a photonic crystal PC2 with a pseudogap in the spectral range 561-615 nm that covers a substantial part of the fluorescence emission of the chosen emitters.…”