Going through the abuse cycle every 2 weeks is incredibly frequent. Your daughter must be a nervous wreck waiting for the axe to fall.
You're wrong in saying you feel nothing for her: you feel hatred for her, you can't bear her, the thought of her makes you angry and any attempt from her to be close to you repels you.
Consider that if your younger daughter had been born first, the great one, she'd have made you feel like this'll
If your eldest was to leave/escape, would you then the cycle onto the next child?
Your behaviour is dogmatic and incredibly damaging, to yourself as well as your daughter. In your mind, you hold it in as long as you can, but are so angered and irritated by her that you have to let it out. This reaction needs proper psychiatric help.
I think you have made a big step in coming on here. You know it can't continue. But do you have real insight into the fact that many people posting feel more care and potential love for your daughter than you do? I feel like taking her home with me and I know nothing more than you've told me.
OP, I haven't posted this to be cruel. I feel very sad for you. But so much sadder for your little girl, who waits Rach day to see what you will be like and does her best to please you, to do what she thinks will work, so you won't be angry today.