I agree with Bos,  the more cautious approach would be to resume your normal training schedule for adequate recovery time and continued endurance.  Back-to-back distance events increase the changes for injury and then the entire race season is at risk. (along with a potential decline in your performance if you go directly to another half). 

It is a wonderful accomplishment...congratulations and know that your enthusiasm will still be there in the coming months.  (If racing is a particular motivator, do some local 8k or 10k weekend events before your next half). 

I am in a similar situation to yours, In my case I waited one month for my second HM (last sunday).

I would advice you to pay special atention to recovery time. I have been running shorter races for a long time and generally go back to running two days after 10k. In the case of last's month HM I found out that I need about one week of almost no running in order to be completely ok (I waited only my customary two days and ended up with a few minor injuries). This week I rested for two days and I will be doing some light swimming sessions for the rest of the week.