%0 Journal Article %T Floquet Weyl Semimetal Induced by Off-Resonant Light %A Rui Wang %A Baigeng Wang %A Rui Shen %A L. Sheng %A D. Y. Xing %A Sergey Y. Savrasov %J Physics %D 2013 %I arXiv %R 10.1209/0295-5075/105/17004 %X We propose that a Floquet Weyl semimetal state can be induced in three-dimensional topological insulators, either nonmagnetic or magnetic, by the application of off-resonant light. The virtual photon processes play a critical role in renormalizing the Dirac mass and so resulting in a topological semimetal with vanishing gap at Weyl points. The present mechanism via off-resonant light is quite different from that via on-resonant light, the latter being recently suggested to give rise to a Floquet topological state in ordinary band insulators. %U http://arxiv.org/abs/1308.4266v2