  In this work we investigate the Stark localization near the Aubry-Andr\'{e}
(AA) critical point. We study system-dependent parameters, such as localization
length, inverse participation ratio (IPR), and energy gap between the ground
and first excited state, for characterizing the localization-delocalization
transition. We show that the scaling exponents possessed by these key
descriptors of localization are quite different from that of a pure AA model or
Stark model. Near the critical point of the AA model, inducing Stark field of
strength $h$, the localization length $\zeta$ scales as $\zeta\propto h^{-\nu}$
with $\nu\approx0.29$ which is different than both the pure AA model ($\nu=1$)
and Stark model ($\nu\approx0.33$). The IPR scales as IPR $\propto h^{s}$ with
$s\approx0.096$ which is again significantly different than both the pure AA
model ($s\approx0.33$) and Stark model ($s\approx0.33$). The energy gap,
$\Delta$, scales as $E\propto h^{\nu z}$, where $z\approx2.37$ which is however
same as the pure AA model.
