Legally, the landlord *may* charge you for all remaining rent which would be due under your lease, which is still unpaid as of when you breach the lease and vacate. He can't charge you more than would be due under the lease, but he may charge you any amounts you owe under the lease. That's because the lease--which is a contract--is not affected by your immigration status or issues; you agreed to pay a certain amount of rent for a certain period of time, and the landlord may enfoce that agreement.Practically, if you leave the country, there may be no cost effective way for the landlord to sue you and collect his or her money; however, he does have the legal right to pursue this.