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We study dual geometries to a deformed ABJM model with spatially dependentsource functions at finite temperature. These source functions are proportionalto the mass function $m(x)= m_0 \sin k x$ and its derivative $m'(x)$. As dualgeometries, we find hairy black branes and AdS solitons corresponding todeconfinement phase and confining phase of the dual field theory, respectively.It turns out that the hairy AdS solitons have lower free energy than the blackbranes when the Hawking temperature is smaller than the confining scale.Therefore the dual system undergoes the first order phase transition. Eventhough our study is limited to the so-called Q-lattice ansatz, the solutionspace contains a set of solutions dual to a supersymmetric mass deformation. Asa physical quantity to probe the confining phase, we investigate theholographic entanglement entropy and discuss its behavior in terms ofmodulation effect.

AdS Q-Soliton and Inhomogeneously mass-deformed ABJM Model