We consider a weakly interacting finite wire with short and long range
interactions. The long range interactions enhance the 4kF​ scattering and
renormalize the wire to a strongly interacting limit. For large screening
lengths, the renormalized charge stiffness Luttinger parameter Keff.​
decreases to Keff.​<1/2, giving rise to a Wigner crystal at T=0 with an
anomalous conductance at finite temperatures.
For short screening lengths, the renormalized Luttinger parameter Keff.​
is restricted to 1/2≤Keff.​≤1. As a result, at temperatures
larger than the magnetic exchange energy we find an interacting metal which for
Keff.​≈1/2 is equivalent to the Hubbard U→∞ model, with
the anomalous conductance G≈he2​ .Comment: 26 pages and 6 figure