Shot-noise suppression by Fermi and Coulomb correlations in ballistic conductors

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We investigate the injection of degenerate Fermi-Dirac electrons into a multimode ballistic conductor under the space-charge limited regime. The nonequilibrium current fluctuations were found to be suppressed by both Coulomb and Fermi correlations. We show that the Fermi shot-noise suppression factor is limited below by the value 2kT/epsilonF, where T is the temperature and epsilonF the Fermi energy of the injected electrons. The Coulomb noise suppression factor may attain much lower values epsilonF/2qU, because of its dependence on the applied bias U >> kT/q. The asymptotic behaviour of the overall shot-noise suppression factor in a high degenerate limit was found to be kT/qU, independently of the material parameters.