Abstract

Quantum transport is studied for weakly-opened integrable circle (C) and fully chaotic stadium (S) billiards with a pair of conducting leads. Electric conductance vs Fermi wavenumber for each incident mode, when smoothed, exhibits short-period and small-amplitude oscillations around some plateau value for C billiard, whereas long-period and large-amplitude smooth oscillations for S billiard. The wavenumber correlation for the conductance is much stronger in S than C billiards. These contrasts can be understood in terms of regular and chaotic orbits in the underlying classical dynamics.

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