I think you've name the problem yourself - Hate,

I am guessing it is based in resentment. You haven't indicated what the differences are between you and your brother currently or in the past. I am guessing much of this stems from your past. Perhaps something happened to you that didn't to him. Perhaps he had an easier time of it growing up or even had preferential treatment. Do you even percieve him as unfairly having and 'easier' life currently? Maybe he has material things or relationships for which you also resent.

Hard to tell, but resentment is something I sense. There is no other name for it than that. I wouldn't think there is a phsychological category for this.