Fermionic quantum criticality with long-range correlated disorder

We study the effect of long-range correlated quenched disorder on quantum phase transitions
in two-dimensional Dirac semimetals described by the chiral Ising, XY, and Heisenberg Gross-Neveu-Yukawa
models, using a one-loop renormalization group analysis in a triple epsilon expansion. In all three classes of
models we discover new finite-randomness multicritical points, some of which are of stable-focus type and
exhibit oscillatory corrections to scaling. For the XY and Heisenberg models, we find a supercritical Hopf
bifurcation accompanied by unusual critical behavior controlled by a stable limit cycle.