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Variable range hopping in two-dimensional systems of interacting electrons.
1Department of Physics, University of Utah, Salt Lake City, Utah 84112, USA.
Physical Review Letters
|May 15, 2002
Summary
This study validates the Efros-Shklovskii theory for variable-range-hopping conductivity in 2D systems using advanced computer modeling. Findings confirm the theory
Area of Science:
- Condensed Matter Physics
- Computational Physics
Background:
- Variable-range-hopping (VRH) conductivity is crucial for understanding electron transport in disordered materials.
- Existing computational models for VRH conductivity in 2D systems have limitations.
Purpose of the Study:
- To perform computer modeling of VRH conductivity in 2D systems.
- To validate the Efros-Shklovskii theory for interacting electrons.
- To analyze discrepancies with previous computational studies.
Main Methods:
- Kinetic Monte Carlo simulations with novel elements.
- Analysis of temperature-dependent conductivity.
- Testing of scaling relations and size effects.
Main Results:
- Detailed validation of the Efros-Shklovskii theory for VRH conductivity in 2D systems.
- Demonstration that simultaneous electron transitions are insignificant.
- Identification of reasons for disagreement with prior computational research.
Conclusions:
- The kinetic Monte Carlo method accurately models VRH conductivity in 2D systems.
- The Efros-Shklovskii theory is robust for interacting electron systems.
- Computational methodology improvements are key to resolving previous discrepancies.