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We identify a Weyl semimetal state in an inversion breaking, stoichiometriccompound strontium silicide, SrSi$_2$, with many new and novel properties thatare distinct from the TaAs family. We theoretically show that SrSi$_2$ is aWeyl semimetal even without spin-orbit coupling and that, after the inclusionof spin-orbit coupling, two Weyl fermions stick together forming an exoticdouble Weyl fermion with quadratic dispersions and a higher chiral topologicalcharge of 2. Moreover, we find that the Weyl nodes with opposite charges arelocated at different energies due to the absence of mirror symmetry inSrSi$_2$, leading to a unique topological quantum response that an externalmagnetic field can induce a dissipationless current. Our systematic results notonly identify a much-needed robust Weyl semimetal candidate but also open thedoor to new topological Weyl physics that is not possible in the TaAs family ofmaterials.

A new type of Weyl semimetal with quadratic double Weyl fermions in SrSi2