Electrical and spin transport in carbon nanotubes

In this work we study the effects of strong electron-electron interactions in carbon nanotubes on electrical and spin transport. We find that the one-dimensionality of the tubes, in correlation with the electronic interactions, create a panoply of novel and interesting effects. We examine a series of setups, each of them highlighting a particularity of transport in these materials. In chapter II we study shot noise in nanotubes as a means to access charge fractionalization. In chapter III we analyze two nanotubes in contact with a superconductor, and find that this setup could be used to obtain quantum entanglement. Also, in chapter IV we compute the Andreev current between a nanotube and a superconductor. In chapter V we study the conductance of a nanotube coupled with metallic leads. We then switch gears to spin transport, and in chapter VI we analyze some of the general properties of spin transport in quantum wires. In chapter VII we study the spin current in a ferromagnet with time-dependent magnetization-nanotube junction. This theoretical analysis reveals many interesting features of transport in Luttinger liquids. It also suggests a number of experimental applications, and possible future technological implementations of carbon nanotubes.