N. Holmberg et al., SIZE-DEPENDENT EFFECTS ON THE MAGNETOTRANSPORT FLUCTUATIONS OF SQUAREQUANTUM DOTS, Semiconductor science and technology, 13(8A), 1998, pp. 21-23
Recently, experimental studies of magnetotransport in nominally square
quantum dots have revealed a high degree of periodicity in the conduc
tance fluctuations, with only a few apparently harmonically related fr
equencies dominating the power spectra. Analysis of dots of different
sizes has revealed that there are unresolved issues regarding the scal
ing of the dominant frequency of the fluctuations. The experimental da
ta appear to suggest that the dominant frequency scales with A(1/2), w
here A is the area of the dot. On the other hand, a semiclassical anal
ysis of periodic orbits suggests that the scaling should be with area.
In this paper, we attempt to resolve this issue by simulating dots of
many different sizes using both quantum mechanical and classical appr
oaches.