Localisation in disordered two-dimensional systems and the universal dependence on diffusion length
- 20 May 1981
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 14 (14) , L413-L419
- https://doi.org/10.1088/0022-3719/14/14/001
Abstract
The authors extend the treatment by Kaveh and Mott (1981) of the effect of weak localisation on the conductivity of disordered two-dimensional systems to include the effect of magnetic and electric fields on the localisation. It is shown that the change in conductivity due to the localization depends on only one parameter, the diffusion length. This result holds irrespective of the number of independent mechanisms which individually correspond to a separate diffusion length. Their experimental values of the conductivity for different temperatures, electric fields and different magnetic fields fall on the predicted universal curve. The derived formulae for the conductivity, when few mechanisms determine the length scale, are in agreement with our experimental data, which enables us to identify the individual diffusion lengths.Keywords
This publication has 11 references indexed in Scilit:
- Magnetic delocalisation of a two-dimensional electron gas and the quantum law of electron-electron scatteringJournal of Physics C: Solid State Physics, 1981
- Electron correlations and logarithmic singularities in density of states and conductivity of disordered two-dimensional systemsJournal of Physics C: Solid State Physics, 1981
- Diffusion and logarithmic corrections to the conductivity of a disordered non-interacting 2D electron gas: power law localisationJournal of Physics C: Solid State Physics, 1981
- The electronic structure of weak, random, two- and three-dimensional potentialsPhilosophical Magazine Part B, 1981
- Magnetoresistance and Hall effect in a disordered two-dimensional electron gasPhysical Review B, 1980
- NoncompactModels and the Existence of a Mobility Edge in Disordered Electronic Systems near Two DimensionsPhysical Review Letters, 1980
- Nonmetallic Conduction in Electron Inversion Layers at Low TemperaturesPhysical Review Letters, 1980
- Negative Magnetoresistance in Silicon (100) MOS Inversion LayersJournal of the Physics Society Japan, 1980
- Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random SystemProgress of Theoretical Physics, 1980
- Scaling Theory of Localization: Absence of Quantum Diffusion in Two DimensionsPhysical Review Letters, 1979