Time-resolved low-dimensional currents at insulator interfaces

Experimental evidence is collected which points strongly to the existence of a connection between spatially discrete low-dimensional flow of charges in various interfacial situations and the frequency-dependent nature of this transport. It is pointed out that this is a property not only of the ionically conducting systems, such as humid insulators, but also of such purely electronic systems as MOSFETs. It is noted that the spatially discrete filamentary flow of the type discussed is frequently associated with fractal phenomena. On the other hand, the fractional-power time-dependence of the universal law is also linked with fractal processes in the time domain. It is emphasized that what is not clear is whether there is any necessary connection between space and time fractality. It is concluded that the present study may provide material for the furtherance of the relevant theoretical considerations