Seminarium Fizyki Materii Skondensowanej

We derive an effective low energy theory for metallic single wall carbon nanotubes. The presence of the badly screened Coulomb interaction between electrons gives a strong enhancement of one-dimensional Luttinger Liquid effects, and in the half-filled (undoped) case drives the ground state of the system to a spin-liquid Mott-Insulating state. In zig-zag nanotubes, there is also an explicit dimerization in the interactions, which can drive the system to a quauntum phase transition with SU(2)_1 quantum symmetry.