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Searching for two-dimensional (2D) organic Dirac materials, which have moreadaptable practical applications in comparing with inorganic ones, is of greatsignificance and has been ongoing. However, only two kinds of these materialswith low Fermi velocity have been discovered so far. Herein, we report thedesign of an organic monolayer with C$_4$N$_3$H stoichiometry which possessesfascinating structure and good stability in its free-standing state. Moreimportantly, we demonstrate that this monolayer is a semimetal with anisotropicDirac cones and very high Fermi velocity. This Fermi velocity is roughly oneorder of magnitude larger than that in 2D organic Dirac materials everreported, and is comparable to that in graphene. The Dirac states in thismonolayer arise from the extended $\pi$-electron conjugation system formed bythe overlapping 2\emph{p}$_z$ orbitals of carbon and nitrogen atoms. Ourfinding opens a door for searching more 2D organic Dirac materials with highFermi velocity.

C$_4$N$_3$H monolayer: A novel two-dimensional organic Dirac material with high Fermi velocity