The observation of the exotic states ${X}_{0,1}(2900)$ with four open flavors by LHCb Collaboration has promoted great interest in searching for open-charm and open-bottom tetraquark states. In this work, we perform a systematic study open-heavy systems $qq\overline{q}\overline{Q}$ ($q=u$, $d$, $s$ $Q=c$, $b$) within improved chromomagnetic interaction model. mass spectra color-spin wave functi...