Disclosed is a solid state memory having a non-linear current-voltage (I-V) response. By way of example, the solid state memory can be used as a selector device. The selector device can be formed in series with a nonvolatile memory device via a monolithic fabrication process. Further, the selector device can provide a substantially non-linear I-V response suitable to mitigate leakage current for the nonvolatile memory device. In various disclosed embodiments, the series combination of the selector device and the non-volatile memory device can serve as one of a set of memory cells in a 1-transistor, many-resistor resistive memory cell array.