Correlation Effects in Hopping Conduction: A Treatment in Terms of Multi-Electron Transitions,

摘要

The problem of impurity conduction at moderate compensation has been treated using the concept of multi-electron single-phonon transitions. The problem was treated in the region of density,temperature and compensation where two- (or many-) electron transitions begin to be important. A compensation of 0.5is used with a temperature range of 1 K to 5 K and an average majority impurity separation of 200to 600in germanium. The problem is treated by comparing the transition rates of one-and multielectron transitions of the localized electron system where the one-electron transition defines the critical impedance in a percolation path at low densities and high temperatures. It is found that two and three electron effects may account for the lowering of the 'activation energy'seen experimentally as the density of impurities is raised. Comparison to currently available experimental data is made.