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Interpretation of diffusion coefficients in nanostructured materials from random walk numerical simulation.

Juan A Anta1, Iván Mora-Seró, Thomas Dittrich

  • 1Departamento de Sistemas Físicos, Químicos y Naturales, Universidad Pablo de Olavide, 41013 Sevilla, Spain. anta@upo.es

Physical Chemistry Chemical Physics : PCCP
|July 26, 2008
PubMed
Summary

Numerical simulations using the random walk method accurately reproduce electron transport in nanostructured materials, bridging anomalous and trap-limited regimes. This validates random walk simulations for interpreting experimental data.

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Area of Science:

  • Condensed Matter Physics
  • Computational Materials Science
  • Electron Transport Phenomena

Background:

  • Understanding electron transport in nanostructured materials is crucial for device applications.
  • Existing models like multiple-trapping (MT) and hopping provide theoretical frameworks.
  • Numerical simulations offer a powerful tool to investigate complex transport behaviors.

Purpose of the Study:

  • To compute the electron diffusion coefficient in nanostructured materials using the random walk numerical simulation (RWNS) method.
  • To compare RWNS results with established analytical models (MT and hopping).
  • To investigate the transition from anomalous to trap-limited transport and its underlying mechanisms.

Main Methods:

  • Employed the random walk numerical simulation (RWNS) method on a 3D lattice of trap sites.
  • Simulated trap site energies with exponential and Fermi-level-centered step-function distributions.
  • Calculated mean-square displacement to determine the diffusion coefficient and mobility under electrical bias.

Main Results:

  • RWNS successfully reproduces the diffusion coefficient predicted by the multiple-trapping model in the stationary state.
  • Achieved stationary state exhibits Fermi-Dirac statistics with a discernible Fermi level.
  • Observed a transition from anomalous to trap-limited transport during simulation time, linked to electron distribution evolution.

Conclusions:

  • RWNS is a validated method for accurately simulating electron transport in nanostructured materials.
  • The study confirms the effectiveness of RWNS in reproducing theoretical predictions and experimental observations.
  • Findings facilitate the interpretation of both steady-state and transient experimental transport data using RW simulations.