While different types of low-power transistors have been investigated, low voltage rectifiers able to overcome the thermionic limit have not been proposed yet. Here, the authors report the realization of Dirac-source diodes based on graphene/MoS2/graphite heterostructures, showing ideality factors <1 and rectifying ratios exceeding 10(8) at room temperature. An increase in power consumption necessitates a low-power circuit technology to extend Moore's law. Low-power transistors, such as tunnel field-effect transistors (TFETs), negative-capacitance field-effect transistors (NC-FETs), and Dirac-source field-effect transistors (DS-FETs), have been realised to break the thermionic limit of the subthreshold swing (SS). However, a low-power rectifier, able to overcome the thermionic limit of an ideality factor (eta) of 1 at room temperature, has not been proposed yet. In this study, we have realised a DS diode based on graphene/MoS2/graphite van der Waals heterostructures, which exhibits a steep-slope characteristic curve, by exploiting the linear density of states (DOSs) of graphene. For the developed DS diode, we obtained eta < 1 for more than four decades of drain current (eta(ave_4dec) < 1) with a minimum value of 0.8, and a rectifying ratio exceeding 10(8). The realisation of a DS diode represents an additional step towards the development of low-power electronic circuits.