Self-consistent theory of shot noise in nondegenerate ballistic conductors

TL;DR

This paper develops a self-consistent theoretical framework for shot noise in ballistic conductors, incorporating Coulomb correlations, and derives formulas for electron distribution and noise reduction across various bias regimes.

Contribution

It introduces a novel analytical approach to account for Coulomb correlations in shot noise, extending understanding beyond vacuum diode models.

Findings

Derived formulas for electron distribution and fluctuations considering Coulomb effects

Calculated current-noise reduction factor across different bias regimes

Analyzed differences between ballistic conductors and vacuum diodes

Abstract

A self-consistent theory of shot noise in ballistic two-terminal conductors under the action of long-range Coulomb correlations is presented. Analytical formulas for the electron distribution function and its fluctuation along the conductor, which account for the Coulomb correlations, have been derived. Based upon these formulas, the current-noise reduction factor has been obtained for biases ranging from thermal to shot-noise limits as dependent on two parameters: the ratio between the length of the sample and the Debye screening length \lambda=d/L_D and the applied voltage qU/k_BT. The difference with the formulas for a vacuum diode is discussed.