  With motivation by holography, employing black hole entropy, two point
connection function and entanglement entropy, we show that, for the higher
dimensional Anti-de Sitter charged hairy black hole in the fixed charged
ensemble, a Van der Waals-like phase transition can be observed. Furthermore,
based on the Maxwell's equal area construction, we check numerically the equal
area law for a first order phase transition in order to further characterize
the Van der Waals-like phase transition.
