Selector elements that can be suitable for nonvolatile memory device applications are disclosed. The selector element can have low leakage currents at low voltages to reduce sneak current paths for non-selected devices, and higher leakage currents at higher voltages to minimize voltage drops during device switching. The selector element can be based on multilayer film stacks (e.g. metal-semiconductor-metal (MSM) stacks). A structure including diamond-like carbon (DLC) can be used to surround the semiconductor layer of the MSM stack. The high thermal conductivity of the DLC structure may serve to remove heat from the selector device while higher currents are flowing through the selector element. This may lead to improved reliability and improved endurance.