Non-volatile resistive switching is demonstrated in memristors with nanocrystalline molybdenum disulfide (MoS$_2$) as the active material. The vertical heterostructures consist of silicon, vertically aligned MoS$_2$ and chrome / gold metal electrodes. Electrical characterizations reveal a bipolar and forming free switching process with stable retention for at least 2500 seconds. Controlled experiments carried out in ambient and vacuum conditions suggest that the observed resistive switching is based on hydroxyl ions (OH$^-$). These originate from catalytic splitting of adsorbed water molecules by MoS$_2$. Experimental results in combination with analytical simulations further suggest that electric field driven movement of the mobile OH$^-$ ions along the vertical MoS$_2$ layers influences the energy barrier at the Si/MoS$_2$ interface. The scalable and semiconductor production compatible device fabrication process used in this work offers the opportunity to integrate such memristors into existing silicon technology for future neuromorphic applications. The observed ion-based plasticity may be exploited in ionicelectronic devices based on TMDs and other 2D materials for memristive applications.
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