Renormalization group description of the effect of structural defects on phase transitions in complex spin systems with random anisotropy effects and structural defects

For the first time, we present a field theory description of the phase transition in an amorphous magnet with the effects of both random anisotropy and structural defects in the two-loop approximation with the fixed dimension $d=3$. For this multivertex model, we determine the system of fixed points of the renormalization group equations and calculate the stability exponents using the Padé–Borel summation method. We show the role of structural defects as stabilizing factors in second-order phase transitions.