Effects of electron-electron interaction on the conductance of two-dimensional ballistic contacts

Orateur : Tatiana KRISHTOP ( Kotelnikov Institute for Radioengineering and Electronics, Moscow, Russia)

We consider the effects of electron-electron scattering on the conductance of short two-dimensional ballistic contacts. In the case of wide contacts the correction to the Sharvin conductance is due to a "resonant" scattering of the oppositely directed electrons that come from different reservoirs. Weak magnetic field strongly suppress this correction and results in anomalous positive magnetoresistance observed in a recent experiments. In the low-conductance regime the scattering of electrons by Friedel oscillations of charge density results in a contribution to the conductance proportional to the temperature. The sign of this linear term depends on the range of the electron-electron interaction and appears to be negative for the relevant experimental parameters

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