Shot Noise at High Temperatures

Abstract

We consider the possibility of measuring non-equilibrium properties of the current correlation functions at high temperatures (and small bias). Through the example of the third cumulant of the current (${\mathcal{S}}_3$) we demonstrate that odd order correlation functions represent non-equilibrium physics even at small external bias and high temperatures. We calculate ${\mathcal{S}}_3=y(eV/T)e^{2}I$ for a quasi-one-dimensional diffusive constriction. We calculate the scaling function $y$ in two regimes: when the scattering processes are purely elastic and when the inelastic electron-electron scattering is strong. In both cases we find that $y$ interpolates between two constants. In the low (high) temperature limit $y$ is strongly (weakly) enhanced (suppressed) by the electron-electron scattering.

11 pages 4 fig. submitted to Phys. Rev. B

References in corpus (1)

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

Cited by in corpus (21)

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• Full counting statistics of a chaotic cavity with asymmetric leads
• Measurement of high order current correlators
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• Phase dependent current statistics in short-arm Andreev interferometer
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• Superconductor-metal transition in an ultrasmall Josephson junction biased by a noisy voltage source
• High-order current correlation functions in Kondo systems
• Cyclostationary measurement of low-frequency odd moments of current fluctuations