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We consider the magneto-transports of quantum matters doped with magneticimpurities near the quantum critical points(QCP). For this, we first find newblack hole solution with hyper-scaling violation which is dual to such system.By considering the fluctuation near this exact solution, we calculated alltransport coefficients using the holographic method. We applied our result tothe surface state of the topological insulator with magnetic doping and foundtwo QCP's, one bosonic and the other fermionic. It turns out that dopedBi$_2$Se$_3$ and Bi$_2$Te$_3$ correspond to different QCP's. We alsoinvestigated transports of QCP's as functions of physical parameters and foundthat there are phase transitions as well as crossovers from weak localizationto weak anti-localization.

New black holes with hyperscaling violation and transports of quantum critical points with magnetic impurity