The present invention provides a bipolar transistor, a method for forming the bipolar transistor, a method for turning on the bipolar transistor, and a band-gap reference circuit, virtual ground reference circuit and double band-gap reference circuit with the bipolar transistor. The bipolar transistor includes: a Silicon-On-Insulator wafer; a base area, an emitter area and a collector area; a base area gate dielectric layer on a top silicon layer and atop the base area; a base area control-gate on the base area gate dielectric layer; an emitter electrode connected to the emitter area via a first contact; a collector electrode connected to the collector area via a second contact; and a base area control-gate electrode connected to the base area control-gate via a third contact. Processes of forming the bipolar transistor are fully compatible with traditional standard CMOS processes; and the base current to turn on the bipolar transistor is based on the GIDL current and formed by applying a voltage to the base area control-gate electrode without any need of contact to the base.