  Based on a perusal of available experimental data, we propose a possible
explanation for the heavy-fermion Fermi liquid state coexisting with quasi-one
dimensional antiferromagnetism in the low-carrier pnictide Yb_{4}As_{3}. Both
of these low temperature features are shown to originate from one single fact -
the charge ordered state forming at high-T is imperfect, due to quantum
fluctuations in the CO state. The quasi-1D magnetism is understood in terms of
the physics of the squeezed Heisenberg chain, while the heavy fermion-like
behavior arises from the compensation of the fraction of the Yb moments (which
are disordered) by the 2p band of As. The proposed picture shows how the
seemingly strange features observed experimentally can be reconciled as a
result of this single hypothesis.
