Ling, Y (reprint author), Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China.
; Niu, Chao
; Xian, Zhuo-Yu] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
; [Ling, Yi] Nanchang Univ, Dept Phys, Ctr Relativist Astrophys & High Energy Phys, Nanchang 330031, Peoples R China
; [Ling, Yi] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
; [Wu, Jian-Pin] Bohai Univ, Sch Math & Phys, Dept Phys, Jinzhou 121013, Peoples R China
; [Zhang, Hongbao] Vrije Univ Brussel, B-1050 Brussels, Belgium
; [Zhang, Hongbao] Int Solvay Inst, B-1050 Brussels, Belgium
We construct a gravity dual for charge density waves (CDWs) in which the translational symmetry along one spatial direction is spontaneously broken. Our linear perturbation calculation on the gravity side produces the frequency dependence of the optical conductivity, which exhibits the two familiar features of CDWs, namely, the pinned collective mode and gapped single-particle excitation. These two features indicate that our gravity dual also provides a new mechanism to implement the metal to insulator phase transition by CDWs, which is further confirmed by the fact that dc conductivity decreases with the decreased temperature below the critical temperature.