A process forms thin-film storage transistors (e.g., HNOR devices) with improved channel regions by conformally depositing a thin channel layer in a cavity bordering a source region and a drain region, such that a portion of the channel material abuts by junction contact the source region and another portion of the channel layer abut by junction contact the drain region. The cavity is also bordered by a storage layer. In one form of the process, the channel region is formed before the storage layer is formed. In another form of the storage layer is formed before the channel region is formed.