The single particle aspects of an approximation scheme for electrons in the presence of a cylindrically symmetrical electric field whose symmetry axis has the same direction as that of a uniform magnetic field are considered. The approximation, previously proposed in the realm of the fractional quantum Hall effect, is tested numerically for a particular electric field interpolating between a bulk vanishing value and an edge harmonic field, and proved to be reliable if two conditions are obeyed.
Approximate holomorphic representation for lowest Landau level wave functions in a cylindrically symmetrical electric field
LUBRITTO, Carmine;
1999
Abstract
The single particle aspects of an approximation scheme for electrons in the presence of a cylindrically symmetrical electric field whose symmetry axis has the same direction as that of a uniform magnetic field are considered. The approximation, previously proposed in the realm of the fractional quantum Hall effect, is tested numerically for a particular electric field interpolating between a bulk vanishing value and an edge harmonic field, and proved to be reliable if two conditions are obeyed.File in questo prodotto:
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