A thin-film storage transistor having a source terminal, a drain terminal, a gate terminal, a charge-trapping region and a channel region having a thickness such as to be depleted when a voltage difference between the gate terminal and the drain terminal is negative, wherein an erase operation is performed on the thin-film storage transistor setting (i) a first voltage on the gate terminal, (ii) a second voltage on both the source and drain terminals, wherein the second voltage is greater than the first voltage sufficiently such that excess acceptor carriers are generated at a drain/channel junction and swept into the channel region via a gate-induced drain leakage current, the excess acceptor carriers drawing electrons from the charge-trapping region to accomplish the erase operation.