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 generalise 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 tunnelling. It
displays a non-trivial power-law divergence just above the Fermi energy.Comment: 4 pages, 2 figures (eps files
