  We investigate discrepancies between recent experimental results on transport
through one-dimensional quantum dots and universal power laws predicted by an
idealized Luttinger Liquid description. The temperature dependence of Coulomb
blockade peaks in one-dimensional quantum dots obeys non-universal power-laws
from which different values of the interaction strength can be deduced. We find
that, depending on the temperature range, measurements probe local or global
properties of the interaction. In particular, we investigate the role of
contacting semiconductor quantum wires and nanotubes connected to leads through
tunnel junctions and compare to recent experiments. We conclude that a
conventional Luttinger Liquid description of the quantum wire does explain the
observed behaviour if specific properties of either experimental setup are
carefully taken into account.
