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

We consider the magneto-transports of quantum matters doped with magnetic impurities near the quantum critical points (QCP). For this, we first find new black hole solution with hyper-scaling violation which is dual to such system. By considering the fluctuation near this exact solution, we calculated all transport coefficients using the holographic method. We applied our result to the surface state of the topological insulator with magnetic doping and found two QCP’s, one bosonic and the other fermionic. It turns out that doped Bi2Se3 and Bi2Te3 correspond to different QCP’s. We also investigated transports of QCP’s as functions of physical parameters and found that there are phase transitions as well as crossovers from weak localization to weak anti-localization.