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The low-energy theory of graphene exhibits spontaneous chiral symmetrybreaking due to pairing of quasiparticles and holes, corresponding to asemimetal-insulator transition at strong Coulomb coupling. We report a LatticeMonte Carlo study of the critical exponents of this transition as a function ofthe number of Dirac flavors $N_f^{}$, finding $\delta = 1.25 \pm 0.05$ for$N_f^{} = 0$, $\delta = 2.26 \pm 0.06$ for $N_f^{} = 2$ and $\delta = 2.62 \pm0.11$ for $N_f^{} = 4$, with $\gamma \simeq 1$ throughout. We compare ourresults with recent analytical work for graphene and closely related systems,and discuss scenarios for the fate of the chiral transition at finitetemperature and carrier density, an issue of relevance for upcoming experimentswith suspended graphene samples.

Critical exponents of the semimetal-insulator transition in graphene: A Monte Carlo study