%0 Journal Article %T Weyl semimetal phase in solid-solution narrow-gap semiconductors %A Daichi Kurebayashi %A Kentaro Nomura %J Physics %D 2014 %I arXiv %R 10.7566/JPSJ.83.063709 %X We theoretically investigate ferromagnetic ordering in magnetically doped solid-solution narrow-gap semiconductors with the strong spin-orbit interaction such as Cr-doped Bi$_2$(Se$_x$Te$_{1-x}$)$_3$. We compute the spontaneous magnetization of impurities and itinerant electrons, and estimate the critical temperature as a function of the concentration of magnetic dopants and the strength of the spin-orbit interaction. It is found that the critical temperature is proportional to the concentration of dopants and enhanced with the strong spin-orbit interaction. It is also found that the ferromagnetic transition could make the system turn to the Weyl semimetal which possesses a pair of Weyl points separating in the momentum space. %U http://arxiv.org/abs/1404.5132v1