Absence of SO(4) quantum criticality in Dirac semimetals at two-loop order
large-scale quantum Monte Carlo simulations. However, the corresponding (2+1)-dimensional Gross--Neveu--Yukawa field theory with Nf=2 four-component Dirac fermions coupled to two triplets of order parameters [...] they both go towards the physical case Nf=2. However, this only happens very slowly, such that an extrapolation to ϵ=1 still suggests the absence of criticality in 2+1 dimensions. Thereby, we consolidate the [...] fermion flavors Nf, which disappears for a broad range of flavor numbers around the physical case, Nf=2, due to fixed-point annihilation. This raises the question on how to explain the observed scaling collapse …
