Self-consistent theory of current and voltage noise in multimode ballistic conductors

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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16 pages, 10 figs; minor corrections

Scientific paper

10.1103/PhysRevB.66.045310

Electron transport in a self-consistent potential along a ballistic two-terminal conductor has been investigated. We have derived general formulas which describe the nonlinear current-voltage characteristics, differential conductance, and low-frequency current and voltage noise assuming an arbitrary distribution function and correlation properties of injected electrons. The analytical results have been obtained for a wide range of biases: from equilibrium to high values beyond the linear-response regime. The particular case of a three-dimensional Fermi-Dirac injection has been analyzed. We show that the Coulomb correlations are manifested in the negative excess voltage noise, i.e., the voltage fluctuations under high-field transport conditions can be less than in equilibrium.

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