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The impact of long-range spin-spin correlations on the structure of a flatportion in single-particle spectra $\xi(p)$, which emerges beyond the point,where the Landau state loses its stability, is studied. We supplement thewell-known Nozieres model of a Fermi system with limited scalar long-rangeforces by a similar long-range spin-dependent term and calculate the spectraversus its strength $g$. It is found that Nozieres results hold as long as$g>0$. However, with $g$ changing its sign, the spontaneous magnetization isshown to arise at any nonzero $g$. The increase of the strength $|g|$ isdemonstrated to result in shrinkage of the domain in momentum space, occupiedby the flat portion of $\xi(p)$, and, eventually, in its vanishing.Comment: 7 pages, 15 figure

Spin degrees of freedom and flattening of the spectra of single-particle excitations in strongly correlated Fermi systems