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In this work, we predict a novel band structure for Carbon-Lithium(C4Li)compound using the first-principles method. We show that it exhibits two Diracpoints near the Fermi level; one located at W point originating from thenonsymmophic symmetry of the compound, and the other one behaves like a type-IIDirac cone with higher anisotropy along the {\Gamma} to X line. The obtainedFermi surface sheets of the hole-pocket and the electron-pocket near thetype-II Dirac cone are separated from each other, and they would touch eachother when the Fermi level is doped to cross the type-II Dirac cone. Theevolution of Fermi surface with doping is also discussed. The bands crossingfrom T to W make a line-node at the intersection of kx={\pi} and ky={\pi}mirror planes. The C4Li is a novel material with both nonsymmorphic protectedDirac cone and type-II Dirac cone near the Fermi level which may exhibitexceptional topological property for electronic applications.

Type-II Dirac cone and Dirac cone protected by nonsymmorphic symmetry in carbon-lithium compound (C4Li)