Semiclassical theory of shot noise in ballisticn+−i−n+semiconductor structures: Relevance of Pauli and long-range Coulomb correlations

Abstract

We work out a semiclassical theory of shot noise in ballistic n ϩ -i-n ϩ semiconductor structures aiming at studying two fundamental physical correlations coming from Pauli exclusion principle and long-range Coulomb interaction. The theory provides a unifying scheme which, in addition to the current-voltage characteristics, describes the suppression of shot noise due to Pauli and Coulomb correlations in the whole range of system parameters and applied bias. The whole scenario is summarized by a phase diagram in the plane of two dimensionless variables related to the sample length and contact chemical potential. Here different regions of physical interest can be identified where only Coulomb or only Pauli correlations are active, or where both are present with different relevance. The predictions of the theory are proven to be fully corroborated by Monte Carlo simulations.

Role of energy correlations on Coulomb suppression of shot noise in ballistic conductors contacted to degenerate reservoirs

“…14 On the other hand, these fluctuations can be modified by the action of long-range Coulomb interaction in the ballistic region. 9,10 Recently, some of the authors 13 developed an analytical theory describing the relative relevance of these suppression mechanisms and validated it by comparison with numerical Monte Carlo ͑MC͒ simulations. Conditions corresponding to all physically relevant conditions where analyzed: from nondegenerate to degenerate injection, from short to long samples, and from low to high applied voltages.…”

Coherent approach to transport and noise in double-barrier resonant diodes

“…This example illustrates why the Pauli principle is more efficient in suppressing shot noise under coherent than sequential transport. By considering Coulomb interaction, which is more relevant at high temperatures, we recall that in the absence of collisions it provides giant shot noise suppression 36 as in the vacuum tubes 37 because electron reflection in this case is due only to Coulomb interaction. It is clear that the presence of scattering provides additional random mechanisms for electrons returning to the emitter and, therefore, provides an additional source of noise.…”

Analytical and Numerical Investigation of Noise in Nanoscale Ballistic Field Effect Transistors

“…[3][4][5][6]. Suppression of shot noise has been predicted as a result of Fermi statistics at the source contact, and of electrostatic interaction in the channel.…”

“…Suppression of shot noise has been predicted as a result of Fermi statistics at the source contact, and of electrostatic interaction in the channel. We derive a model based on parameters that can be extracted from a numerical simulation of the DC properties of a ballistic MOSFET [6].…”