Self-similar conductance fluctuations in low temperature magneto-transport of coupled dot systems

Self-similar conductance fluctuations have been studied by means of low temperature magneto-resistance in order to clarify the fractal transport behavior in quantum coupled dot systems. We have observed a clear three- or four-hold self-similar structure in the magneto-resistance of coupled dot systems. In our discussion based on saddle-point potential model, the self-similar and unstable periodic orbits can be expected by isochronous pitchfork bifurcations due to harmonic saddles in curved walls of the dot.