I mean... will it work? I suppose that transistor should work as a switch, being polarized by the negative voltage of op-amp output. But in my simulation it is in cut-off the whole time.
Can you please check it out? I attached my LTSpice simulation.
You can see, that 0.1u capicator is being loaded to the negative value by diode and polystyrene capicator.
Maximum emiter current is only 1uA. And the emiter-base voltage is lower then 0.6V...
Try to remove the transistor and you won't notice the difference.