  This study investigates the dynamical critical exponent of disordered Ising
chains under transverse fields to examine the effect of a correlated disorder
on quantum phase transitions. The correlated disorder, where the on-site
transverse field depends on the nearest-neighbor coupling strengths connecting
the site, gives a qualitatively different result from the uncorrelated
disorder. In the uncorrelated disorder cases where the transverse field is
either homogeneous over sites or random independently of the nearest-neighbor
coupling strengths, the dynamical critical exponent is infinite. In contrast,
in the presence of the correlated disorder, we analytically show that the
dynamical critical exponent is finite. We also show that the dynamical critical
exponent depends on the tuning process of the transverse field strengths.
