The interplay of spin and charge fluctuations in the random transverse
-field Ising spin chain on the fermionic space is investigated. The fi
nite chemical potential, which controls the charge fluctuations, leads
to the appearance of the quantum critical region in the phase diagram
where the magnetic correlations are quenched by nonmagnetic sites. Re
gions of nonmonotonous temperature dependence of spin-spin correlation
length appear at nonzero mu. The results on the one-fermion density o
f states of the model are discussed.