Nano-electromechanical systems (NEMS) devices that utilize thin electrically conductive membranes, which can be, for example, graphene membranes. The membrane-based NEMS devices can be used as sensors, electrical relays, adjustable angle mirror devices, variable impedance devices, and devices performing other functions. The NEMS devices have a serpentine shape arrangement of the electrically conductive membrane. The electrically conductive membrane can be controllably wicked down on the edge of the oxide cavity to increase sensitivity of the NEMS device.