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After constructing the possible $J^P=0^-, 0^+, 1^-$ and $1^+$$QQ\bar{q}\bar{q}$ tetraquark interpolating currents in a systematic way, weinvestigate the two-point correlation functions and extract the correspondingmasses with the QCD sum rule approach. We study the $QQ\bar{q}\bar{q}$,$QQ\bar{q}\bar{s}$ and $QQ\bar{s}\bar{s}$ systems with various isospins $I=0,1/2, 1$. Our numerical analysis indicates that the masses of doubly-bottomedtetraquark states are below the threshold of the two bottom mesons, two bottombaryons and one doubly bottomed baryon plus one anti-nucleon. Very probablythese doubly-bottomed tetraquark states are stable.

Exotic $QQ\bar{q}\bar{q}$, $QQ\bar{q}\bar{s}$ and $QQ\bar{s}\bar{s}$ states