The dependence of fractal conductance fluctuations on soft-wall profile in a double-2DEG billiard

We have developed and investigated a double-2DEG billiard to study the dependence of fractal conductance fluctuations on the soft-wall potential profile in semiconductor billiards. We use numerical modeling to establish how the profile differs between the billiards. We present preliminary results showing that the changes in profile modify the fractal dimension rather than suppress the fractal behavior, and that the fractal dimension depends inversely on the softness of the potential profile.