  We report our transport studies in quasi one-dimensional (1D) conductors -
helical polyacetylene fibers doped with iodine and the data analysis for other
polymer single fibers and tubes. We found that at 30 K < T < 300 K the
conductance and the current-voltage characteristics follow the power law: G(T)
~ T^alpha with alpha ~ 2.2-7.2 and I(V) ~ V^betta with betta ~ 2-5.7. Both G(T)
and I(V) show the features characteristic of 1D systems such as Luttinger
liquid or Wigner crystal. The relationship between our results and theories for
tunneling in 1D systems is discussed.
