  As voltage decreases d.c. condctivity of a Tomonaga-Luttinger liquid wire
collapses to a small value determined by the length of the wire and its
contacts with the leads. In condition that voltage drop (V) mostly occurs
across a tunnel barrier inside the wire the tunneling density of states and,
hence, the differential conductivity are shown to exhibit an interference
structure resulted from the transition of the Luttinger liquid quasiparticles
into free electrons at the exits from the wire. The finite length correction to
the scale-invariant $V^{2/g-2}$ dependence of the conductivity oscillates as a
function of voltage with periodicities related to both rigth and left traversal
times.
