A lot of people like to raise in this situation, and so do I depending on my hand. For me to raise I have to be pretty uncertain about my own hand and my opponent, I like to put in the raise to get a reaction (no, not a physical one). The way I see it, the min bet there is always one of two things: I have nothing, but I still want to give you a chance to fold. Or I have the stone cold nuts. So in my humble opinion this makes raising wrong. If your hand is good, why chase him away? He could always bet again on the river. And if you're dead, well we all know why raising is wrong there.
You call, and the river brings a 9 for a board of 874:3:9 no flush possible, giving you two pair. Your opponent leads again for $1.50, and you call. He shows A5 offsuite, and your two pair take down a nice little pot. (You like my Dan Harrington impression?).
What do you all do when you're heads up and your opponent bets the min on the turn? Do you always raise to try and push him out? Do you call to see a cheap card? Discuss.