Dresden 2006 – scientific programme
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HL: Halbleiterphysik
HL 50: Poster II
HL 50.88: Poster
Thursday, March 30, 2006, 16:30–19:00, P3
Single electron quantum dot in a spatially periodic magnetic field — •Daniel Buchholz1 and Peter Schmelcher1,2 — 1Theoretische Chemie, Institut für Physikalische Chemie, Universität Heidelberg, Im Neuenheimer Feld 229, 69120 Heidelberg, Germany — 2Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, 69120 Heidelberg, Germany
A general overview of the electronic properties of a harmonically confined single electron quantum dot inside a spatially periodic magnetic field is presented. The energy spectrum, magnetization, probability density and current density are calculated for varying parameters (i.e. amplitude, wavelength and phase) of the periodic magnetic field. For wavelengths comparable to the oscillator length of the dot, we observe a rich spectral behavior. Avoided and exact level crossings dominate the spectrum and ground state degeneracies occur for particular values of the field. The probability and current densities are very sensitive with respect to the phase of the magnetic field. Differently to the dot inside a homogeneous magnetic field, the magnetization, as a function of the field amplitude, has a minimum, depending on the phase and wavelength of the field. For wavelengths being small compared to the oscillator length, the impact of the field on the lowest eigenenergies is almost zero, thus the obtained spectrum is approximately that of a pure harmonic oscillator. The eigenfunctions take up a spatial dependent phase yielding a non-vanishing probability current.