Unfortunately you’re still responsible for the lease. I’m not a real estate lawyer, but my understanding is that you would need to prove the space itself was unsafe (inadequate locks, unsafe air, no way to heat or cool the space, etc) to even start down the road of legally breaking your lease without penalty. And even then you don’t just move out, you need to give the landlord time to fix the problems.
I researched breaking my lease in Austin a couple years ago after my car was broken into for the fourth time in a year. Everyone I spoke to said it wasn’t an accepted reason to break the lease without penalty.
The good news is that you can speak to the landlord or company that runs the place and they may be understanding. If not, and if you have several months left on the lease, you may want to read your lease closely to see what they reletting costs are for your apartment. Usually it’s some portion of a month’s rent, plus a penalty. You may also be able to sublease your space or make a deal with the apartments if you can find someone to start living there immediately. I would go in and explain the situation, then ask your options. Remember they’re running a business, even if it is very personal for you.
If you want to read more about your options with a lease, try a search for “renter’s rights Texas” and you’ll get quite a few options. I’ve pasted a few below.
Texas Bar Tenant’s Rights
Texas Tenant Advisor
A quick excerpt from the link above, that probably addresses your situation most closely…
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My apartment was just burglarized and I’ve lost a good deal of my belongings and am suffering emotional anguish. Can I break my lease without any legal consequences?
No, not if the landlord has done nothing wrong. However, you may have grounds to move early if the landlord misrepresented security or crime concerns and this information influenced your decision to rent the apartment. However, such decisions on misrepresentation are best decided by a court of law.
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I’m sorry this happened and good luck finding a solution everyone can live with.