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There is still no question in your post. Could you please formulate a clear question?
How do you want us to know if you are looking for a place to buy one, for the type
of a converter corresponding to various specs (that by the way are missing), etc...
You want a converter, and I am talking about the converter, so let's say clearly:
In = input of the CONVERTER
Out = output of the CONVERTER
What I was asking is:
In this case, In = 0 ~ 2V
Out = ???
Current = ???
When you know that, you can go to https://digikey.com and choose your converter.
Beside this, you will not find any converter that converts from 0 V. It will start at, say,
0.8 ~ 0.9 V (maybe less, that's just an order of magnitude).