On the Possibility of Experimental Verification of the Some Localization Theory Predictions

摘要

The spatial non-locality (dispersion) of the transport equations results in anonlinear dependence of the voltage drop $U$ on the distance between the pointsof measuring. Therefore the results of the usual two-probe measurements of theconductivity depend essentially on the relation between the sample linear size$L$ and the spatial dispersion scale $R$ of the generalized diffusioncoefficient $D(q,\omega)$. This makes it possible to get information on thecharacter of the spatial non-locality of $D(q,\omega)$ in the Andersonlocalization regime and, in particular, on the correlation multifractaldimension $D_{2}$ of the electron wave functions near the mobility edge.