We break up and she stopped talking to me after 1month..

She is heartbroken.
Especially if she has a lot of self problems, I'm sure the break up just made it worst. I'm not trying to make you feel bad for what you did. I'm just saying that that is how she probably feels. For you it is easy to stay in touch because you just care about her as a friend. She on the other hand, is inlove with you. And cares about you more than a friend. She wants more. And seeing that you don't love her the same way, hurts. She probably talked to you at first because she was hoping you would change your mind and get back with her. But somewhere along that path, she realized you are truly over her, and just see her as a friend. So she decided to let go. And now she is moving on.
So if you really care about her, and don't want to hurt her, let her go. Help her move on. Don't contact her anymore, because it only gives her that hope of you coming back.

Well, I just got dumped for those same reasons, and in all fairness to her.she's probably heartbroken and doesn't know how to handle it.she most likely needs time to heal. Give her a while and if you two really care about each other, she'll come around. It takes time to heal though!

You dumped her. She's probably trying to get over you by moving on with her life. You can't expect her to be friends with you. She needs to go cold turkey first and then possibly come back to being friends at a much later time. There's nothing you can do but let her go and if she wants to be friends with you later then so be it.