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I am sorry to hear about your situation. Unfortunately, based on my research on this issue this is not a basis to break the lease unless you can prove that the complex had notice of security issues and ignored it. You would have to prove they were grossly negligent. Lawsuits like these can be costly and expensive. You could more likely make a claim against the property management company and the landlord for any negligence on their part on maintaining the building door's integrity. They have insurance for these types of situations so I think there is a good chance you might get compensation. Do you have a renter's insurance policy as well?
If you have any additional questions just let me know otherwise a positive rating would be appreciated.