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We studied theoretically coherent quantum transport in a carbon nanotube with reflectionless contacts to external reservoirs, two complementary transport formalies were used. The Kubo conductance was computed. In the presence of static disorder, the diffusivity for a given wave packet reach a time saturation regime, whose value is related to the elastic mean free path through diffusivity with the velocity of the wave packet of energy. This approach implemented using order -N computational techniques, has been successfully compared to analytical results derived from the Fermi Golden rule, but for uniform disorder. The Landauer Buttiker conductance was evaluated from transmission co-efficient. An external magnetic field applied perpendicularly to the nanotube axis was shown to induce a floating up in energy of the quasibound states.
Quantum transport, Coherent, Kubo conductance, Static disorder, Diffusivity, Fermi Golden rule, Quasi bound