Shot noise suppression at 1D hopping

TL;DR

This paper investigates shot noise in one-dimensional hopping arrays, revealing how it varies with system parameters and exhibits self-similar fluctuation behavior at intermediate frequencies.

Contribution

It provides a preliminary analysis of shot noise suppression in 1D hopping systems, highlighting the dependence on geometry, electron density, and interactions.

Findings

Shot noise varies from 1/N to 1 of Schottky value at low temperatures.

Current spectral density shows a w^{-1/3} dependence at intermediate frequencies.

Fluctuations exhibit self-similarity across different size scales.

Abstract

We have carried out a preliminary analysis of shot noise at hopping, focusing on uniform 1D arrays of sites separated by N tunnel barriers. The results show that at low temperatures the low-frequency density of the shot noise varies from 1/N to 1 of the Schottky value, depending on the geometry, electron density, and Coulomb interaction strength. An interesting feature is w^{-1/3} dependence of the current spectral density at intermediate frequencies, which reflects self-similarity of the fluctuations at different size scales.