Numerical Simulations of Variable‐Range Hopping
M. Ortuño, Francisco Estellés-Duart, A. M. Somoza
Abstract
Numerical simulations of variable‐range hopping in 2D and 3D systems with states localized by the disorder are reviewed. Both interacting and noninteracting systems are considered. After reviewing the main theories for variable‐range hopping, Mott's and Efros and Shkolvskii's, the numerical techniques are presented that are employed for this problem. Existing results are presented and some new ones obtained for this contribution, concentrating on the value of the proportionality constant on the characteristic temperatures of the different conduction laws and on the form of the pre‐exponential factor.
Topics & Concepts
Variable-range hoppingStatistical physicsRange (aeronautics)Variable (mathematics)Thermal conductionConstant (computer programming)MathematicsPhysicsMathematical analysisQuantum mechanicsComputer scienceMaterials scienceProgramming languageComposite materialRandom lasers and scattering mediaQuantum optics and atomic interactionsMaterial Dynamics and Properties