In a method of fabricating a bipolar transistor having a single-crystal emitter region including an emitter contact, a base region, and a collector region, the improvement comprising the step of grading a bandgap in said emitter region such that said bandgap decreases as the distance to said emitter contact decreases, whereby charge storage in said emitter region is reduced, said bandgap being narrower at all points within said emitter region than at a junction between said base and emitter regions, and said emitter and base regions having a bandgap discontinuity substantially proximate to said junction of between about 0 to 0.04 eV.