Higher cumulants of voltage fluctuations in current-biased diffusive contacts

Abstract

The third and fourth cumulants of voltage in a current-biased diffusive metal contact of resistance $R$ are calculated for arbitrary temperatures and voltages using the semiclassical cascade approach. The third cumulant equals $e^2{R}^{3}I/3$ at high temperatures and $4e^2{R}^{3}I/15$ at low temperatures, whereas the fourth cumulant equals $2e^2{R}^{3}T/3$ at high temperatures and $(34/105)e^3{R}^{4}I$ at low temperatures.

4 pages, 1 figure, major changes