Shot Noise Suppression at 2D Hopping

Abstract

We have used Monte Carlo simulation to calculate the shot noise intensity $S_I(\omega )$ at 2D hopping using two models: a slanted lattice of localized sites with equal energies and a set of localized sites with random positions and energies. For wide samples we have found a similar dependence of the Fano factor $F\equiv S_I(0)/2eI$ on the sample length $L$: $F\propto L^{-\alpha }$ where $\alpha =0.85\pm 0.02$ and $\alpha =0.85\pm 0.07$ in uniform and random models, respectively. Moreover, at least for the uniform model, all the data for $F$ as the function of sample length $L$ and width $W$ may be presented via a single function of the ratio $W/L^{\beta }$, with $\beta =2\alpha -1\approx 0.7$. This relation has been interpreted using a simple scaling theory.

5 pages, 4 figures, new data added to Fig.2

References in corpus (9)

• Zero Frequency Current Noise for the Double Tunnel Junction Coulomb Blockade
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• Hopping Conductivity Beyond The Percolation Regime Probed By Shot-Noise Measurements
• A Numerical Study of Coulomb Interaction Effects on 2D Hopping Transport
• The Mysterious Ultrahigh Energy Cosmic Ray Clustering
• Finite-size effect in shot noise in hopping conduction
• Sub-electron Charge Relaxation via 2D Hopping Conductors