Fig. 3

The quantum phase diagram obtained from QMC simulations. The quantum phase diagram of the models of SU(N) fermions on the honeycomb lattice, for N = 2, 3, 4, 5 and 6, is obtained by sign-problem-free Majorana quantum Monte Carlo (QMC) simulations. For N = 2, 3, 4, 5 and 6, the system encounters a continuous transition violating the Landau cubic criterion, dubbed as fermion-induced quantum critical point (FIQCP) here, between the Dirac semimetals to the Kekule valance bond solid (Kekule-VBS) phase. For N = 2, the quantum phase transition between the Kekule-VBS and the antiferromagnetic (AF) phases is a deconfined quantum critical point (DQCP)