Full current statistics of incoherent Cold electrons

We evaluate the full current statistics (FCS) in the low-dimensional (1D and 2D) diffusive conductors in the incoherent regime eVmuch greater thanE(Th)=D/L-2, E-Th being the Thouless energy. It is shown that the Coulomb interaction substantially enhances the probability of big current fluctuations for short conductors with E(Th)much greater than1/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(Th)similar to[(eV)(2)/Dnu(1)(2)](1/3) for 1D and E(Th)similar to(eV/g)lng 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.