> is it mandatory to use the date format yyyy-mm-ddThh:mm:ssZ
> ?

Yes.

> I have a date with this format:
> yyyymmdd
>  in my xml source file.
> 
> Where can I find more information, I found only these
> definitions in the schema.xml

In schema.xml there is a xml comment about dates, starting with
<!-- The format for this date field is of the form 1995-12-31T23:59:59Z,


> Could you explain me the PrecisionStep param also?

This presentation explains trie based fields. 
http://www.thetaphi.de/share/Schindler-TrieRange.ppt 



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