NON-ADIABATIC TRANSPORT IN QUANTUM POINT CONTACTS

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Abstract
We have performed an exact numerical calculation on the conductance of a narrow constriction in a two-dimensional electron gas and discovered a novel sum rule that the conductance is invariant with respect to the channel mixing. This feature explains why the adiabatic approximation results fit the experimental data quantitatively. A similar sum rule has been found for the excess noise. These important conclusions remain to be derived analytically.

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