  We holographically investigate the scalarization in the
Einstein-Scalar-Gauss-Bonnet gravity with a negative cosmological constant. We
find that instability exists for both Schwarzschild-AdS and
Reissner-Nordstrom-AdS black holes with planar horizons when we have proper
interactions between the scalar field and the Gauss-Bonnet curvature
corrections. We relate such instability to possible holographic scalarization
and construct the corresponding hairy black hole solutions in the presence of
the cosmological constant. Employing the holographic principle we expect that
such bulk scalarization corresponds to the boundary description of the scalar
hair condensation without breaking any symmetry, and we calculate the related
holographic entanglement entropy of the system. Moreover, we compare the
mechanisms of the holographic scalarizations caused by the effect of the
coupling of the scalar field to the Gauss-Bonnet term and holographic
superconductor effect in the presence of an electromagnetic field, and unveil
their differences in the effective mass of the scalar field, the temperature
dependent property and the optical conductivity.
