Fabricating a steep-switch transistor includes receiving a semiconductor structure including a substrate, a fin disposed on the substrate, a source/drain disposed on the substrate adjacent to the fin, a gate disposed upon the fin, a cap disposed on the gate, and a trench extending to the source/drain. A trench contact is formed in the trench in contact with the source/drain. A recess is formed in a portion of the trench contact below a top surface of the cap using a recess patterning process. A bi-stable resistive system (BRS) material is deposited in the recess in contact with the portion of the trench contact. A source/drain contact is formed upon the BRS material, a portion of the trench contact, the BRS material, and a portion of the source/drain contact forming a reversible switch.