Wave function scarring and magnetotransport in quantum dots

We have studied the low-temperature magnetotransport in a semiconductor quantum dot and, using the correlation function method, observed evidence for the presence of a stabilized orbit in the case where only a few electron channels are present in the leads of the dot. Through quantum mechanical simulations of the device structure, we studied the nature of the orbits which underlie the presence of scarring of the wave function at periodically recurring magnetic fields. We also perform an analysis of possible geometry-induced fractal behavior on the magnetotransport in the quantum dot, which confirms the regularity of the dominant orbits.