# On the new universality class in structurally disordered n-vector model with long-range interactions

@article{Shapoval2022OnTN, title={On the new universality class in structurally disordered n-vector model with long-range interactions}, author={Dmytro Shapoval and Maxym Dudka and Yurij Holovatch}, journal={Low Temperature Physics}, year={2022} }

We study a stability boundary of a region where nontrivial critical behavior of an n-vector model with long-range power-law decaying interactions is induced by the presence of a structural disorder (e.g., weak quenched dilution). This boundary is given by the marginal dimension of the order parameter nc dependent on space dimension, d, and a control parameter of the interaction decay, σ, below which the model belongs to the new dilution-induced universality class. Exploiting the Harris…

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PART I: STATIC AND EQUILIBRIUM PROPERTIES PART II: DYNAMICAL PROPERTIES PART III: APPLICATIONS