For carbon nanotubes, we determine the role of disorder and helicity in the transport length scales and intrinsic conductance. Our results highlight different physical phenomena originating from defect scattering and multishell conduction. Those effects are sensitive to the position of the Fermi level, and allow for a consistent interpretation of recent transport experiments in doped nanotubes. DOI: 10.1103/PhysRevB.69.121410 PACS number͑s͒: 73.63.Fg, 71.15.Ϫm Helical symmetries in carbon nanotubes are at the spectacular origin of a metallic versus semiconducting electronic status.1 Metallic single-wall nanotubes ͑SWNT's͒, with their Fermi level at the charge neutrality point ͑CNP͒, have been further demonstrated to behave as exceptionally long ballistic conductors, due to a vanishing contribution of elastic backscattering ͑pseudospin symmetry conservation͒, 2,3 and upscaling of the mean free path with nanotube diameter was derived in the framework of the Fermi golden rule. 4 Multiwall nanotubes ͑MWNT's͒ are made from a few to several tens of weakly coupled concentric shells, separated by few angstroms and with random helicities. Although ballistic conduction has been reported in several experiments in SWNT's and MWNT's, 3,5,6 the bias dependence of the conductance in MWNT's highlights the possible role of disorder and/or intershell conduction.7-11 At large bias, the contribution of several subbands is expected, with an enhanced backscattering for the so-called massive subbands, as compared to the two massless subbands crossing at the CNP.3 On the other hand, it has been argued theoretically that incommensurability between coupled shells can drive conduction to either diffusive, ballistic, or intermediate transport regime.12-15 Such scenario has been debated in subsequent works, restricted, however, to qualitative arguments or numerical computation on small systems. 14,15 As it is now experimentally possible to have a simultaneous access to the helicity and transport phenomena in MWNT's, 16 it is important to better clarify the fundamental length scales and transport regimes. Besides, the issue of electronic mobilities in carbon nanotube based field effect transistors is also of great concern.
17In this work, the relative effect of elastic scattering on massless and massive subbands is quantified, in disordered nanotubes as long as 10 m. This is performed by computing the energy dependence of diffusion coefficients and length scaling of the Kubo conductance, using a real-space numerical approach. Two sources of elastic scattering are considered separately. First, the effect of static ͑Anderson-like͒ disorder is studied in SWNT's and commensurate MWNT's. Second, multishell conduction is shown to be sensitive to incommensurability, which introduces scattering centers in otherwise structurally perfect MWNT's.Transport is controlled by low-energy excitations close to the Fermi level E F , which turn out to be well described by a simple tight-binding Hamiltonian treating only the coupling between electrons:
͑1͒Th...