Stability of the coexistence phase of chiral superconductivity and noncollinear spin ordering with a nontrivial topology and strong electron correlations

It has been shown that quantum charge and spin fluctuations in a strongly correlated $2\mathrm{D}$ system with a triangular lattice, significantly renormalizing the magnetic order parameter, do not destroy the coexistence phase of chiral $d + id$ superconductivity and $120^\circ$ spin ordering. The region of realization of nontrivial topology determined by the topological index $\tilde{N}_3$ holds. It has been shown that edge states for the topologically non-trivial phase include a Majorana mode. The spatial structure of this mode has been determined. It has been found that spin and charge fluctuations shift the critical electron densities at which quantum topological transitions occur. It has been shown that an increase in the intersite Coulomb repulsion reduces the number of such transitions.