Select devices including an open volume that functions as a high bandgap material having a low dielectric constant are disclosed. The open volume may provide a more nonlinear, asymmetric I-V curve and enhanced rectifying behavior in the select devices. The select devices may comprise, for example, a metal-insulator-insulator-metal (MIIM) diode. Various methods may be used to form select devices and memory systems including such select devices. Memory devices and electronic systems include such select devices.