The temperature dependent fractal dimension of magneto-conductance fluctuations in semiconductor billiards

We present a study of fractal behaviour in the magneto-conductance fluctuations of semiconductor billiards as function of temperature. Non-zero temperatures introduce a finite phase coherence time and we find that this does not suppress fractal behaviour in the experimental data. Instead we show that the fractal dimension decreases with increasing temperature and present a remarkable similarity between the fractal dimension and the phase coherence time.