  CDW/Normal metal/CDW junctions and nanoconstrictions in crystals of the
quasi-one-dimensional conductor NbSe$_3$ are manufactured using a
focused-ion-beam. It is found that the low-temperature conduction of these
structures changes dramatically and loses the features of the
charge-density-wave transition. Instead, a dielectric phase is developed. Up to
6-order power-law variations of the conduction as a function of both
temperature and electric field can be observed for this new phase. The
transition from quasi-one-dimensional behavior to one-dimensional behavior is
associated with destruction of the three-dimensional order of the
charge-density waves by fluctuations. It results in a recovery of the
Luttinger-liquid properties of metallic chains, like it takes place in sliding
Luttinger liquid phase.
