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We investigate the squeezed back-to-back correlation (BBC) of D0(D)0 in relativistic heavy-ion collisions,using the in-medium mass modification calculated with a self-energy in hot pion gas and the source space-time distributions provided by the viscous hydrodynamic code VISH2+1.It is found that the squeezed BBC of D0(D)0 is significant in peripheral Au+Au collisions at the relativistic heavy ion collider energy.A possible way to detect the squeezed BBC in an experiment is presented.