Full Current Statistics of Incoherent "Cold Electrons"

Abstract

We evaluate the full current statistics (FCS) in the low dimensional (1D and 2D) diffusive conductors in the incoherent regime, $eV\gg E_{\mathrm{Th}}=D/L^2$, $E_{\mathrm{Th}}$ being the Thouless energy. It is shown that Coulomb interaction substantially enhances the probability of big current fluctuations for short conductors with $E_{\mathrm{Th}}\gg 1/{\tau }_E$, ${\tau }_E$ being the energy relaxation time, leading to the exponential tails in the current distribution. The current fluctuations are most strong for low temperatures, provided $E_{\mathrm{Th}}\sim [(eV{)}^2/D{\nu }_1^2{]}^{1/3}$ for 1D and $E_{\mathrm{Th}}\sim (eV/g)\ln g$ for 2D, where $g$ is a dimensionless conductance and ${\nu }_1$ is a 1D density of states. The FCS in the "hot electron" regime is also discussed.

4 pages, 1 table, 2 figures

References in corpus (6)

• Interaction effects on counting statistics and the transmission distribution
• Inelastic Scattering Time for Conductance Fluctuations
• Current Fluctuations and Electron-Electron Interactions in Coherent Conductors
• Shot Noise at High Temperatures
• Electron-electron scattering effects on the Full Counting Statistics of Mesoscopic Conductors
• Manipulation of photon statistics of highly degenerate chaotic radiation

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• Nonequilibrium noise and current fluctuations at the superconducting phase transition
• Fluctuation-driven excess noise near superconducting phase transition