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A realistic transport model showing the interplay of the hopping transportbetween the outer shells of iron filled entangled multi-walled carbon nanotubes(MWNT) and the diffusive transport through the inner part of the tubes, as afunction of the filling percentage, is developed. This model is based onlow-temperature electrical resistivity and magneto-resistance (MR)measurements. The conductivity at low temperatures showed a crossover fromEfros-Shklovski (E-S) variable range hopping (VRH) to Mott VRH in 3 dimensions(3D) between the neighboring tubes as the iron weight percentage is increasedfrom 11% to 19% in the MWNTs. The MR in the hopping regime is stronglydependent on temperature as well as magnetic field and shows both positive andnegative signs, which are discussed in terms of wave function shrinkage andquantum interference effects, respectively. A further increase of the ironpercentage from 19% to 31% gives a conductivity crossover from Mott VRH to 3Dweak localization (WL). This change is ascribed to the formation of long ironnanowires at the core of the nanotubes, which yields a long dephasing length(e.g. 30 nm) at the lowest measured temperature. Although the overall transportin this network is described by a 3D WL model, the weak temperature dependenceof inelastic scattering length expressed as L_phi ~T^-0.3 suggests thepossibility for the presence of one-dimensional channels in the network due tothe formation of long Fe nanowires inside the tubes, which might introduce analignment in the random structure.

Origin of conductivity cross over in entangled multi-walled carbon nanotube network filled by iron