Field Emission from Luttinger Liquids and Single-Wall Carbon Nanotubes

We develop a theory for the field emission effect in Luttinger liquids and single-wall carbon nanotubes at the level of the energy resolved current distribution. We generalize Fowler-Nordheim relations. Just below the Fermi edge, we find a power-law vanishing current distribution with the density of states exponent. The current distribution above the Fermi edge owes its existence to a peculiar interplay of interactions and correlated tunneling. It displays a nontrivial power-law divergence just above the Fermi energy.