Advice please

Am I wrong if I just completely cut the father of my children off? He comes around when he wants. He goes days, weeks without talking to me/checking on the kids. He ignores me if I ask for anything for them. The baby is 3 weeks old today, he only came over once to see him. I've dealt with all this for a while now, my first born is 2. So this time around I'm just over it and don't see a point in him being around. I am thinking about putting him on child support & never talking to him again?