Methods for making non-volatile switches include depositing gate material in a recess of a substrate; depositing drain metal in a recess of the gate material; planarizing the gate material, drain metal, and substrate; forming sidewalls by depositing material on the substrate around the gate material; forming a flexible conductive element between the sidewalls to establish a gap between the flexible conductive element and the gate material, such that the gap separating the flexible conductive element and the gate material is sized to create a negative threshold voltage at the gate material for opening a circuit; and forming a source terminal in electrical contact with the flexible conductive element.