Evolution of fractal patterns during a classical-quantum transition - art.no. 036802

We investigate how fractals evolve into nonfractal behavior as the generati on process is gradually suppressed. Fractals observed in the conductance of semiconductor billiards are of particular interest because the generation process is semiclassical and can be suppressed by transitions towards eithe r fully classical or fully quantum-mechanical conduction. Investigating a r ange of billiards, we identify a "universal" behavior in the changeover fro m fractal to nonfractal conductance, which is described by a smooth evoluti on rather than deterioration in the fractal scaling properties.