  We construct a class of backgrounds with a warp factor and anti-de Sitter
asymptotics, which are dual to boundary systems that have a ground state with a
short-range two-point correlation function. The solutions of probe scalar
fields on these backgrounds are obtained by means of confluent hypergeometric
functions. The explicit analytical expressions of a class of short-range
correlation functions on the boundary and the correlation lengths $\xi$ are
derived from gravity computation. The two-point function calculated from
gravity side is explicitly shown to exponentially decay with respect to
separation in the infrared. Such feature inevitably appears in confining gauge
theories and certain strongly correlated condensed matter systems.
