This paper targets on improving the efficiency of the concurrent transmissions for the hyper-dense device-to-device (D2D) networks using the millimeter wave (mmWave) transmission technology. To this end, the increment of the multiple access interference is well controlled by the proposed energy-efficient (EE) power adjustment scheme. Therein, the nonlinear fractional programming technique is firstly applied to transform the nonlinear optimization problem into the linear from. Then, the transmission power of the D2D pairs is formulated as the noncooperative Game. Via the well-known Karush-Kuhn-Tucker condition, the optimal transmission power can then be decided. With the aid of the EE power adjustment, we modify the conventional vertex multi-coloring concurrent transmission scheme to accommodate more D2D pairs. The main concept is to judge the feasibility of the concurrent transmission based the increase of sum data rate rather than the individual rate. The superiority of the proposed scheme is verified by simulations in terms of the EE and data rate.