  A new non-Fermi-liquid state of quasi-one-dimensional conductors is suggested
in which electronic system exists in a form of collection of bounded Luttinger
liquids stabilized by impurities. This state is shown to be stable towards
interchain electron hopping at low temperatures. Electronic spectrum of the
system contains zero modes and collective excitations of the bounded Luttinger
liquids in the segments between impurities. Zero modes give rise to randomly
distributed localized electronic levels, and long-range interaction generates
the Coulomb gap in the density of states at the Fermi energy. Mechanism of
conductivity at low temperatures is phonon-assisted hopping via zero-mode
states. At higher voltages the excitations of Luttinger liquid are involved in
electron transport, and conductivity obeys power-law dependence on voltage. The
results provide a qualitative explanation for recent experimental data for
NbSe3 and TaS3 crystals.
