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Semimetal with both Rarita-Schwinger-Weyl and Weyl excitations

Semimetal with both Rarita-Schwinger-Weyl and Weyl excitations

We propose a relativistic Jeff=3/2 semimetal with 4d1 or 5d1 electrons on a cubic lattice when the strong spin-orbital coupling takes over the Hunds' coupling. A relativistic spinor with spin 3/2 is historically called Rarita-Schwinger spinor. In the massless case, the right- and left-handed chiral degrees of freedom of the …