  In this paper, we explore quantum criticality in the disordered
Aubry-Andr\'{e} (AA) model. For the pure AA model, it is well-known that it
hosts a critical point separating an extended phase and a localized insulator
phase by tuning the strength of the quasiperiodic potential. Here we unearth
that the disorder strength $\Delta$ contributes an independent relevant
direction near the critical point of the AA model. Our scaling analyses show
that the localization length $\xi$ scales with $\Delta$ as
$\xi\propto\Delta^{-\nu_\Delta}$ with $\nu_\Delta$ a new critical exponent,
which is estimated to be $\nu_\Delta\approx0.46$. This value is remarkably
different from the counterparts for both the pure AA model and the Anderson
model. Moreover, rich critical phenomena are discovered in the critical region
spanned by the quasiperiodic and the disordered potentials. In particular, in
the extended phase side, we show that the scaling theory satisfy a hybrid
scaling form as a result of the overlap between the critical regions of the AA
model and the Anderson localization.
