Flicker Noise in Two-Dimensional Electron Gas

TL;DR

This paper models flicker noise in two-dimensional electron gases using a quantum-classical hybrid approach, revealing scale-invariant avalanches and a power spectrum consistent with experimental observations.

Contribution

It introduces a novel model combining quantum and semi-classical dynamics to explain 1/f noise in 2DEG, highlighting avalanche phenomena and scale invariance.

Findings

Flicker noise arises from electronic avalanches in the model.

Power spectrum exhibits a frequency exponent between 0.3 and 0.6.

Avalanches display scale-invariance with power-law behavior.

Abstract

Using the method developed in a recent paper (Euro. Phys. J. B 92.8 (2019): 1-28) we consider $1/f$ noise in two-dimensional electron gas (2DEG). The electron coherence length of the system is considered as a basic parameter for discretizing the space, inside which the dynamics of electrons is described by quantum mechanics, while for length scales much larger than it the dynamics is semi-classical. For our model, which is based on the Thomas-Fermi-Dirac approximation, there are two control parameters: temperature $T$ and the disorder strength ($\Delta$). Our Monte Carlo studies show that the system exhibits $1/f$ noise related to the electronic avalanche size, which can serve as a model for describing the experimentally observed flicker noise in 2DEG. The power spectrum of our model scales with frequency with an exponent in the interval $0.3<\alpha_{PS}<0.6$. We numerically show that the electronic avalanches are scale-invariant with power-law behaviors in and out of the metal-insulator transition line.