The orbital angular momentum (OAM) wireless communication technology is widely studied in recent literatures. But the atmospheric turbulence is rarely considered in analyzing the capacity of OAM-based millimeter wave (OAM-mmWave) communication systems. The OAM-mmWave propagated in the atmosphere environments is usually interfered by the atmospheric turbulence, resulting in the crosstalk among OAM channels, capacity degradation, etc. By taking into account the atmospheric turbulence effect, this paper proposes a new purity model and a new capacity model for the OAM-mmWave communication systems. Simulation results indicate that the OAM-mmWave propagation in the atmosphere environments is evidently interfered by atmospheric turbulence, where the capacity of the OAM-mmWave communication systems decreases with the increase of the transmission frequency.Index Terms-Atmospheric turbulence, orbital angular momentum, millimeter wave, capacity. In this paper the impact of atmospheric turbulence on the OAM-mmWave communication systems has been investigated. A new capacity model has been proposed for the OAM-mmWave communication systems considering the atmospheric turbulence effect. The contributions of this paper are summarized as follows: 1) A new purity model is proposed for OAM-mmWave communication systems considering the propagation characteristics of OAM-mmWave with the atmospheric turbulence. In general, the atmospheric turbulence arXiv:1909.04336v1 [eess.SP]