We study the subregion complexity in a semi-analytical holographic QCD model. Two cases with different warped factor are considered and both can realize confinement–deconfinement transition. By studying the behavior of the renormalized holographic complexity densityC?versus the subregion length scale?, we find that for both cases,C?always experiences a discontinuity at certain critical value?cin confinement phases, while it is always continuous in deconfinement phases. This property may be seen as a signal to characterize confinement or deconfinement phases. The behavior ofC?versus the temperature and chemical potential is also investigated and our results show thatC?exhibits behavior characterizing the type of the transition. That is, it experiences a discontinuity at the transition temperature forμ<μcwhere first-order confinement–deconfinement phase transition happens, while it is always continuous forμ>μcwhere the transition turns into a turnover. These results imply that the renormalized holographic complexity density may be used as a good parameter to characterize the corresponding phase structures.
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