Quantum Transport in Open Billiards: Dependence on Degree of Opening

抄録

Quantum transport is studied for open billiards with a pair of conducting leads. Boundaries of the billiards are of squared-cosine shape and the electric conductance as a function of the Fermi wave number is computed by tuning the degree of opening. A quantized plateau accompanied by a sequence of intermittent sharp dips in a ‘strongly opened’ case changes into anomalously noisy fluctuations in a ‘weakly opened’ case. In the latter case, however, the smoothed conductance shows regular oscillations around some plateau values. The failure of the adiabatic approximation is also discussed.