My tenants have 6 months left on their lease and one is moving out with no notice. This is in Ga. What are my rights to recoup

You should contact a local real estate attorney. As a general rule, if they violate the lease terms you can file for an eviction. That normally provides them a certain number of days to comply with the lease or they can be removed. Unless GA has rather unique rules, I have never heard of any state that would not allow you to file for an eviction based on nonpayment. The amount of time, cost and the like will vary by state.

DISCLAIMER—This answer is for informational purposes only and discusses general legal principles, trends, and considerations and is not intended as specific legal advice regarding your question. This answer does not establish an attorney client relationship.

Assuming this is a residential lease, you may start the eviction process by sending a demand for possession of the property by a certain date and then filing a dispossessory action if they fail to leave. If they leave before the end of the lease term, you would have a claim for breach contract and be able to pursue any damages, including lost rental income (minus any amounts you mitigated).

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The foregoing is general information only, not specific legal advice. No attorney/client relation has been created or should be implied.