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, a trench contact formed on and in contact with the source/drain, and a source/drain contact formed on an in contact with the trench contact. A recess is formed in a portion of the source/drain contact using a recess patterning process. A bi-stable resistive system (BRS) material is deposited in the recess in contact with the portion of the source/drain contact. A metallization layer is formed in contact upon the BRS material, a portion of the source/drain contact, the BRS material, and a portion of the metallization layer contact forming a reversible switch.