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Cascade Boltzmann - Langevin approach to higher-order current correlations in diffusive metal contacts

K. E. Nagaev
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Abstract

The Boltzmann - Langevin approach is extended to calculations of third and fourth cumulants of current in diffusive-metal contacts. These cumulants result from indirect correlations between current fluctuations, which may be considered as "noise of noise". The calculated third cumulant coincides exactly with its quantum-mechanical value. The fourth cumulant tends to its quantum-mechanical value $-e^3I/105$ at high voltages and to a positive value $2e^2T/3R$ at V=0 changing its sign at $eV \sim 20T$.

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K. E. Nagaev. 2002-08-19. Cascade Boltzmann - Langevin approach to higher-order current correlations in diffusive metal contacts. https://doi.org/10.1103/physrevb.66.075334

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