As a first point, I don't exactly understand the motivation of your question. The output of a current transformer is basically a current rather than a voltage. Of course, the available voltage is limited according to the maximum core flux.
Secondly, I fear you'll get difficulties to operate a self-steered MOSFET rectifier with low voltages of e.g. 1 V, because MOSFET threshold voltages are usually higher.
In my view, there are two common solutions for rectifying current transformer output:
- if an output voltage of e.g. 1 V can be accepted, use low voltage schottky diodes
- for lowest transformer voltage (respectively best accuracy), use active rectifier circuits with operational amplifiers or optionally preceeding AC amplification