Conductance fluctuations in nonequilibrium

•Thomas Ludwig1,2, Alexander Mirlin1,2 und Yaroslav Blanter3
1Institut für Nanotechnologie, Forschungszentrum Karlsruhe, 76021 Karlsruhe, Germany
2Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany
3Department of NanoScience, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands

We investigate the amplitude of mesoscopic fluctuations of the differential conductance of a metallic wire at arbitrary bias voltage. We identify the parameter regime where inelastic scattering is important. In the noninteracting case we show quantitative results for T = 0, in the interacting case we qualitatively identify the asymptotic behaviour. We show that, due to inelastic scattering, conductance fluctuations cannot grow with increasing voltage in a way that would lead to negative differential resistance.