Based upon the facts of your question due to an increase in crime in the apartment complex where you reside in and whether you can legally terminate your lease without any legal recourse with respect to your landlord, you need to carefully read the presumed written lease that you have.If there is no language in the document allowing you to do what you desire without recourse, then you cannot. I suggest you write the property manager a note demanding stepped up security where you reside keeping a copy of such for future use and need.