QCD phase diagram at high temperature and density

This article reviews recent progress of QCD phase structure, including color superconductor at high baryon density and strongly interacting quark-gluon plasma (sQGP) at high temperature created through relativistic heavy ion collision. A brief overview is given on the discovery of sQGP at RHIC. The possibility of locating the critical end point (CEP) from the property of bulk viscosity over entropy density is discussed. For the phase structure at high baryon density, the status of the unconventional color superconducting phase with mismatched pairing is reviewed. The chromomagnetic instability, Sarma instability and Higgs instability in the gapless color superconducting phase are clarified.